Edit Profile (opens in new tab) Bukhshtaber, Viktor Matveevich Co-Author Distance Author ID: bukhshtaber.viktor-matveevich Published as: Buchstaber, V. M.; Bukhshtaber, V. M.; Buchstaber, Victor M.; Buchstaber, Victor; Bukhshtaber, Viktor Matveevich; Buchstaber, Viktor M.; Buchstaber, V.; Buchstaber, Victor Matveevich; Bukhshtaber, V. M. B.; Buchshtaber, V. M.; Buckshtaber, V. M.; Bukhstaber, V. more...less Further Spellings: Бухштабер Виктор Матвеевич Homepage: http://higeom.math.msu.su/people/buchstaber/ External Links: MGP · ORCID · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 293 Publications since 1966, including 5 Books and 34 Additional arXiv Preprints 10 Contributions as Editor · 11 Further Contributions Biographic References: 3 Publications Co-Authors: 335 Co-Authors with 255 Joint Publications 7,962 Co-Co-Authors all top 5 Co-Authors 47 single-authored 39 Novikov, Sergeĭ Petrovich 22 Leĭkin, Dmitriĭ Viktorovich 20 Panov, Taras E. 15 Bunkova, Elena Yur’evna 13 Veselov, Alexander Petrovich 12 Enolskiĭ, Viktor Zelikovich 12 Tertychnyĭ, Sergeĭ Ivanovich 11 Kozlov, Valeriĭ Vasil’evich 10 Mal’tsev, Arkadiĭ Anatol’evich 10 Mishchenko, Aleksandr Sergeevich 10 Rees, Elmer Gethin 9 Krichever, Igor’ Moiseevich 9 Terzić, Svjetlana 8 Erokhovets, Nikolaĭ Yur’evich 8 Ray, Nigel 8 Sinaĭ, Yakov Grigor’evich 7 Kholodov, Alexander Nickolaevich 7 Parshin, Alekseĭ Nikolaevich 6 Mikhailov, Alexander Vasil’evich 5 Ayano, Takanori 5 Aĭzenberg, Anton Andreevich 5 Maslov, V. K. 5 Orlov, Dmitri O. 4 Anosov, Dmitriĭ Viktorovich 4 Faddeev, Lyudvig Dmitrievich 4 Karpov, O. V. 4 Kashin, Boris Sergeevich 4 Khovanskiĭ, Askold Georgievich 4 Lando, Sergei K. 4 Ol’shanskiĭ, Aleksandr Yur’evich 4 Shorina, Svetlana Yu. 4 Taĭmanov, Iskander Asanovich 4 Treshchev, Dmitriĭ Valer’evich 4 Vasil’ev, Viktor Anatol’evich 4 Vershik, Anatoliĭ Moiseevich 3 Adyan, Sergeĭ Ivanovich 3 Beklemishev, Lev D. 3 Braden, Harry W. 3 Chernavskiĭ, Alekseĭ Viktorovich 3 Fel’dman, Konstantin Èduardovich 3 Gaifullin, Alexander A. 3 Glutsyuk, Alexey A. 3 Grinevich, Pëtr Georgievich 3 Ibragimov, Il’dar Abdullovich 3 Limonchenko, Ivan Yur’evich 3 Lysenok, Igor’ Geront’evich 3 Margulis, Grigoriĭ Aleksandrovich 3 Maslov, Viktor Pavlovich 3 Morozova, Elena Aleksandrovna 3 Nesterenko, Yuriĭ Valentinovich 3 Netay, Elena Yu. 3 Ponomarev, Vladimir Ivanovich 3 Reshetnyak, Yuriĭ Grigor’evich 3 Sadovnichiĭ, Viktor Antonovich 3 Semënov, Alekseĭ L’vovich 3 Shchepin, Evgeniĭ Vital’evich 3 Sheĭnman, Oleg Karlovich 3 Shiryaev, Al’bert Nikolaevich 3 Shkalikov, Andreĭ Andreevich 3 Sosinskiĭ, Alekseĭ Bronislavovich 3 Stëpin, Anatoliĭ Mikhaĭlovich 3 Volodin, Vadim D. 3 Zarelua, A. V. 3 Zel’manov, Efim Isaakovich 2 Aĭvazyan, Sergeĭ Artem’evich 2 Alexandrov, Victor A. 2 Aptekarev, Alexander Ivanovich 2 Arnol’d, Vladimir Igorevich 2 Artamonov, Vyacheslav Aleksandrovich 2 Aseev, Sergei M. 2 Baskakov, Ilia V. 2 Benyash-Krivets, Valeriĭ Vatslavovich 2 Beresnevich, Victor V. 2 Bille, Artur 2 Botvinnik, Boris I. 2 Budarina, Natalia Viktorovna 2 Bykovskiĭ, Viktor Alekseevich 2 Chernousov, Vladimir I. 2 Chirka, Evgeniĭ Mikhaĭlovich 2 Chirskiĭ, Vladimir Grigor’evich 2 Chubarikov, Vladimir Nikolaevich 2 Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich 2 Dolbilin, Nikolaĭ Petrovich 2 Dubrovin, Boris Anatol’evich 2 Dynnikov, Ivan Alekseevich 2 Eilbeck, John Chris 2 Enyukov, I. S. 2 Erokhovets, Nickolai 2 Ershov, Yuriĭ Leonidovich 2 Fedorchuk, Vitaly Vitalievich 2 Fomenko, Anatoliĭ Timofeevich 2 Fuchs, Dmitry Borisovich 2 Grbić, Jelena 2 Grines, Vyacheslav Zigmundovich 2 Gromov, Mikhael Leonidovich 2 Gurevich, Boris 2 Helemskii, Alexander Ya. 2 Iliadis, Stavros D. 2 Ilyashenko, Yulij Sergeevich 2 Kaimanovich, Vadim A. ...and 236 more Co-Authors all top 5 Serials 87 Russian Mathematical Surveys 23 Functional Analysis and its Applications 10 Proceedings of the Steklov Institute of Mathematics 7 Mathematics of the USSR. Izvestiya 7 Chebyshevskiĭ Sbornik 6 IMRN. International Mathematics Research Notices 6 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 6 Moscow Mathematical Journal 5 Theoretical and Mathematical Physics 5 Uspekhi Matematicheskikh Nauk [N. S.] 5 Mathematics of the USSR, Sbornik 5 Izvestiya: Mathematics 4 Mathematical Notes 4 Translations. Series 2. American Mathematical Society 3 Matematicheskiĭ Sbornik. Novaya Seriya 3 Soviet Mathematics. Doklady 3 Sbornik: Mathematics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Journal of Soviet Mathematics 2 Topology and its Applications 2 Obozrenie Prikladnoĭ i Promyshlennoĭ Matematiki 2 Doklady Mathematics 2 Reviews in Mathematics and Mathematical Physics 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 1 Journal of Mathematical Physics 1 Nonlinearity 1 Duke Mathematical Journal 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Izvestiya Akademii Nauk SSSR. Tekhnicheskaya Kibernetika 1 Mathematische Zeitschrift 1 Soobshcheniya Akademii Nauk Gruzinskoĭ SSR 1 Acta Applicandae Mathematicae 1 Journal of Physics A: Mathematical and General 1 SIAM Journal on Mathematical Analysis 1 Notices of the American Mathematical Society 1 Matematicheskiĭ Sbornik 1 Vychislitel’nye Sistemy 1 Zapiski Nauchnykh Seminarov POMI 1 Voprosy Kibernetiki (Moskva) 1 Journal of Mathematical Sciences (New York) 1 Selecta Mathematica. New Series 1 Journal of Mathematical Chemistry 1 Transformation Groups 1 Geometry & Topology 1 Homology, Homotopy and Applications 1 Journal of Nonlinear Mathematical Physics 1 Algebraic & Geometric Topology 1 Contemporary Mathematics 1 Mathematical Surveys and Monographs 1 University Lecture Series 1 AIP Conference Proceedings 1 Journal of Physics A: Mathematical and Theoretical 1 Springer Proceedings in Mathematics & Statistics 1 Arnold Mathematical Journal all top 5 Fields 90 Algebraic geometry (14-XX) 72 Manifolds and cell complexes (57-XX) 58 Algebraic topology (55-XX) 53 History and biography (01-XX) 37 Convex and discrete geometry (52-XX) 32 Dynamical systems and ergodic theory (37-XX) 27 Partial differential equations (35-XX) 23 Associative rings and algebras (16-XX) 23 Special functions (33-XX) 16 Combinatorics (05-XX) 16 Nonassociative rings and algebras (17-XX) 16 Group theory and generalizations (20-XX) 15 Commutative algebra (13-XX) 15 Ordinary differential equations (34-XX) 13 Quantum theory (81-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 General and overarching topics; collections (00-XX) 11 Differential geometry (53-XX) 10 Difference and functional equations (39-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Operator theory (47-XX) 8 Statistics (62-XX) 7 Topological groups, Lie groups (22-XX) 7 Statistical mechanics, structure of matter (82-XX) 5 Number theory (11-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Functional analysis (46-XX) 5 General topology (54-XX) 5 Biology and other natural sciences (92-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Functions of a complex variable (30-XX) 3 Category theory; homological algebra (18-XX) 3 \(K\)-theory (19-XX) 3 Numerical analysis (65-XX) 2 Computer science (68-XX) 2 Operations research, mathematical programming (90-XX) 1 Real functions (26-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 169 Publications have been cited 1,473 times in 698 Documents Cited by ▼ Year ▼ Torus actions and their applications in topology and combinatorics. Zbl 1012.52021 Buchstaber, Victor M.; Panov, Taras E. 175 2002 Toric topology. Zbl 1375.14001 Buchstaber, Victor M.; Panov, Taras E. 100 2015 Kleinian functions, hyperelliptic Jacobians and applications. Zbl 0911.14019 Buchstaber, V. M.; Enolskii, V. Z.; Leykin, D. V. 66 1997 Rational analogues of Abelian functions. Zbl 1056.14049 Bukhshtaber, V. M.; Ènol’skiĭ, V. Z.; Leĭkin, D. V. 29 1999 Torus actions, combinatorial topology, and homological algebra. Zbl 1010.52011 Buchstaber, Victor M.; Panov, Taras E. 29 2000 Algebras of cellular cochains, and torus actions. Zbl 1068.52020 Baskakov, I. V.; Bukhshtaber, V. M.; Panov, T. E. 29 2004 Cohomological rigidity of manifolds defined by 3-dimensional polytopes. Zbl 1383.57038 Buchstaber, V. M.; Erokhovets, N. Yu.; Masuda, M.; Panov, T. E.; Park, S. 29 2017 Elliptic Dunkl operators, root systems, and functional equations. Zbl 0842.35128 Buchstaber, V. M.; Felder, G.; Veselov, A. P. 27 1994 Spaces of polytopes and cobordism of quasitoric manifolds. Zbl 1176.55004 Buchstaber, Victor M.; Panov, Taras E.; Ray, Nigel 22 2007 Uniformization of Jacobi varieties of trigonal curves and nonlinear differential equations. Zbl 0978.58012 Bukhshtaber, V. M.; Ènol’skiĭ, V. Z.; Leĭkin, D. V. 22 2000 Tangential structures on toric manifolds, and connected sums of polytopes. Zbl 0996.52013 Buchstaber, Victor M.; Ray, Nigel 22 2001 Torus actions and combinatorics of polytopes. Zbl 0996.52012 Buchstaber, V. M.; Panov, T. E. 21 1999 Functional equations associated with addition theorems for elliptic functions and two-valued algebraic groups. Zbl 0724.39005 Bukhshtaber, V. M. 21 1990 \(n\)-valued groups: theory and applications. Zbl 1129.20045 Buchstaber, Victor M. 18 2006 Formal groups, power systems and Adams operators. Zbl 0222.55008 Bukhshtaber, V. M.; Novikov, S. P. 18 1971 Rotation number quantization effect. Zbl 1196.81132 Buchstaber, V. M.; Karpov, O. V.; Tertychniy, S. I. 18 2010 Hyperelliptic Kleinian functions and applications. Zbl 0911.14020 Bukhshtaber, V. M.; Ènol’skiĭ, V. Z.; Leĭkin, D. V. 17 1997 Solution of the problem of differentiation of abelian functions over parameters for families of \((n, s)\)-curves. Zbl 1156.14315 Bukhshtaber, V. M.; Leĭkin, D. V. 16 2008 Addition laws on Jacobian varieties of plane algebraic curves. Zbl 1132.14024 Bukhshtaber, V. M.; Leĭkin, D. V. 15 2005 Applied statistics. Classification and reduction of dimensionality. Reference edition. (Prikladnaya statistika. Klassifikatsiya i snizhenie razmernosti. Spravochnoe izdanie). Ed. by S. A. Ajvazyan. (Prikladnaya statistika. Klassifikatsiya i snizhenie razmernosti. Spravochnoe izdanie.) Zbl 0719.62070 Ajvazyan, S. A.; Bukhshtaber, V. M.; Enyukov, I. S.; Meshalkin, L. D. 15 1989 Polynomial dynamical systems and the Korteweg-de Vries equation. Zbl 1360.14093 Buchstaber, V. M. 15 2016 Holomorphic solutions of the double confluent Heun equation associated with the RSJ model of the Josephson junction. Zbl 1326.82028 Buchstaber, V. M.; Tertychnyi, S. I. 15 2015 Ring of simple polytopes and differential equations. Zbl 1184.52012 Buchstaber, V. M. 14 2008 Truncations of simple polytopes and applications. Zbl 1351.51019 Buchstaber, V. M.; Erokhovets, N. Yu. 14 2015 Polynomial Lie algebras. Zbl 1027.17020 Bukhshtaber, V. M.; Leĭkin, D. V. 14 2002 Toric genera. Zbl 1206.57039 Buchstaber, Victor; Panov, Taras; Ray, Nigel 14 2010 Integrable correspondences and algebraic representations of multivalued groups. Zbl 0885.58018 Buchstaber, V. M.; Veselov, A. P. 13 1996 Automorphisms of the solution spaces of special double-confluent Heun equations. Zbl 1360.34176 Buchstaber, V. M.; Tertychnyi, S. I. 13 2016 Krichever formal groups. Zbl 1271.55005 Buchstaber, V. M.; Bunkova, E. Yu. 13 2011 Complex cobordism and formal groups. Zbl 1275.55004 Buchstaber, V. M. 13 2012 Explicit solution family for the equation of the resistively shunted Josephson junction model. Zbl 1291.34002 Buchstaber, V. M.; Tertychniy, S. I. 13 2013 Integrable equations, addition theorems, and the Riemann-Schottky problem. Zbl 1134.14306 Bukhshtaber, V. M.; Krichever, I. M. 12 2006 Multivalued groups, their representations and Hopf algebras. Zbl 0891.20044 Buchstaber, V. M.; Rees, E. G. 12 1997 Dieudonné modules and \(p\)-divisible groups associated with Morava \(kK\)-theory of Eilenberg-Mac Lane spaces. Zbl 1134.55004 Buchstaber, Victor; Lazarev, Andrey 12 2007 Topology and geometry of the canonical action of \(T^4\) on the complex Grassmannian \(G_{4,2}\) and the complex projective space \(\mathbb{C}P^5\). Zbl 1376.57041 Buchstaber, Victor M.; Terzić, Svjetlana 12 2016 Constructions of families of three-dimensional polytopes, characteristic patches of fullerenes, and Pogorelov polytopes. Zbl 1378.05196 Buchstaber, Victor M.; Erokhovets, Nikolai Yu. 12 2017 Toric manifolds and complex cobordisms. Zbl 0967.57030 Bukhshtaber, V. M.; Ray, N. 11 1998 Landweber-Novikov algebra and formal vector fields on the line. Zbl 0402.55008 Bukhshtaber, V. M.; Shokurov, A. V. 11 1978 A system on a torus modelling the dynamics of a Josephson junction. Zbl 1248.34062 Buchstaber, V. M.; Karpov, O. V.; Tertychnyj, S. I. 11 2012 Rings of continuous functions, symmetric products, and Frobenius algebras. Zbl 1065.54007 Bukhshtaber, V. M.; Rees, E. G. 11 2003 Toric topology of the complex Grassmann manifolds. Zbl 1469.57035 Buchstaber, V. M.; Terzić, S. 11 2019 Sharp upper and lower bounds for nestohedra. Zbl 1237.52006 Buchstaber, V. M.; Volodin, V. D. 10 2011 The Yang-Baxter transformation. Zbl 1015.17012 Bukhshtaber, V. M. 10 1998 The Chern-Dold character in cobordisms. I. Zbl 0219.57027 Bukhshtaber, V. M. 10 1971 On monodromy eigenfunctions of Heun equations and boundaries of phase-lock areas in a model of overdamped Josephson effect. Zbl 1377.34108 Buchstaber, V. M.; Glutsyuk, A. A. 10 2017 On determinants of modified Bessel functions and entire solutions of double confluent Heun equations. Zbl 1356.33004 Buchstaber, V. M.; Glutsyuk, A. A. 10 2016 Combinatorial 2-truncated cubes and applications. Zbl 1271.52011 Buchstaber, Victor M.; Volodin, Vadim D. 10 2012 \(\sigma\)-functions of \((n,s)\)-curves. Zbl 1081.14519 Bukhshtaber, V. M.; Leĭkin, D. V.; Ènol’skiĭ, V. Z. 9 1999 Heat equations in a nonholomic frame. Zbl 1069.47019 Bukhshtaber, V. M.; Leĭkin, D. V. 9 2004 Formal groups, functional equations and generalized cohomology theories. Zbl 0694.55008 Bukhshtaber, V. M.; Kholodov, A. N. 9 1990 Combinatorial algebras and multivalued involutive groups. Zbl 0878.05082 Buchstaber, V. M.; Evdokimov, S. A.; Ponomarenko, I. N.; Vershik, A. M. 9 1996 Vector addition theorems and Baker-Akhiezer functions. Zbl 0803.39006 Bukhshtaber, V. M.; Krichever, I. M. 9 1993 Nerve complexes and moment-angle spaces of convex polytopes. Zbl 1298.52017 Ayzenberg, A. A.; Buchstaber, V. M. 9 2011 The Gelfand map and symmetric products. Zbl 1015.05092 Buchstaber, V. M.; Rees, E. G. 9 2002 On the properties of a differential equation describing the dynamics of a strongly shunted Josephson junction. Zbl 1113.34302 Bukhshtaber, V. M.; Karpov, O. V.; Tertychnyi, S. I. 9 2003 On manifolds defined by 4-colourings of simple 3-polytopes. Zbl 1365.57040 Buchstaber, V. M.; Panov, T. E. 9 2016 Coefficient rings of formal group laws. Zbl 1362.14047 Buchstaber, V. M.; Ustinov, A. V. 9 2015 An invitation to toric topology: vertex four of a remarkable tetrahedron. Zbl 1155.57300 Buchstaber, Victor M.; Ray, Nigel 9 2008 \(\sigma\)-functions: old and new results. Zbl 1473.14057 Buchstaber, V. M.; Enolski, V. Z.; Leykin, D. V. 9 2020 Formal groups and their role in the apparatus of algebraic topology. Zbl 0224.57006 Bukhshtaber, V. M.; Mishchenko, A. S.; Novikov, S. P. 8 1971 The general analytic solution of a functional equation of addition type. Zbl 0873.39010 Braden, H. W.; Buchstaber, V. M. 8 1997 Multivalued groups and Hopf \(n\)-algebras. Zbl 0879.20042 Bukhshtaber, V. M.; Rees, E. G. 8 1996 Fullerenes, polytopes and toric topology. Zbl 1414.52006 Buchstaber, Victor M.; Erokhovets, Nikolay Yu. 8 2018 Torus actions in topology and combinatorics. (Торические действия в топологии и комбинаторике.) Zbl 1107.52010 Bukhshtaber, V. M.; Panov, T. E. 6 2004 K-theory on the category of finite cell complexes. Zbl 0182.25803 Bukhshtaber, V. M.; Mishchenko, A. S. 6 1969 Formal groups and their role in the apparatus of algebraic topology. Zbl 0226.55007 Bukhshtaber, V. M.; Mishchenko, A. S.; Novikov, S. P. 6 1972 Trilinear functional equations. Zbl 1093.14049 Bukhshtaber, V. M.; Lejkin, D. V. 6 2005 Manifolds of solutions for Hirzebruch functional equations. Zbl 1331.32014 Buchstaber, V. M.; Bunkova, E. Yu. 6 2015 On a remarkable sequence of Bessel matrices. Zbl 1345.15008 Bukhshtaber, V. M.; Tertychnyi, S. I. 6 2015 Infinite-dimensional Lie algebras determined by the space of symmetric squares of hyperelliptic curves. Zbl 1425.17031 Bukhshtaber, V. M.; Mikhaĭlov, A. V. 6 2017 Coefficient rings of Tate formal groups determining Krichever genera. Zbl 1348.14111 Bunkova, E. Yu.; Buchstaber, V. M.; Ustinov, A. V. 6 2016 The universal formal group that defines the elliptic function of level 3. Zbl 1441.55003 Bukhshtaber, V. M.; Bunkova, E. Yu. 6 2015 The foundations of \((2n,k)\)-manifolds. Zbl 1427.57021 Buchstaber, V. M.; Terzić, S. 6 2019 Frobenius \(n\)-homomorphisms, transfers and branched coverings. Zbl 1152.46017 Buchstaber, V. M.; Rees, E. G. 5 2008 Polytopes, Fibonacci numbers, Hopf algebras, and quasi-symmetric functions. Zbl 1239.52006 Bukhshtaber, V. M.; Erokhovets, N. Yu 5 2011 Groups of polynomial transformations of a line, non-formal symplectic manifolds, and the Landweber-Novikov algebra. Zbl 1050.53069 Bukhshtaber, V. M. 5 1999 Multivalued groups, \(n\)-Hopf algebras and \(n\)-ring homomorphisms. Zbl 0903.20039 Buchstaber, V. M.; Rees, E. G. 5 1998 Flag manifolds and the Landweber-Novikov algebra. Zbl 0907.57025 Buchstaber, Victor M.; Ray, Nigel 5 1998 Formal groups, power systems and Adams operators. Zbl 0239.55005 Bukhshtaber, V. M.; Novikov, S. P. 5 1971 On a remarkable functional equation in the theory of generalized Dunkl operators and transformations of elliptic genera. Zbl 0870.39009 Buchstaber, V. M.; Veselov, A. P. 5 1996 The Landweber-Novikov algebra and formal vector fields on the line. Zbl 0409.55004 Bukhshtaber, V. M.; Shokurov, A. V. 5 1979 \( \mathbb{C}P(2)\)-multiplicative Hirzebruch genera and elliptic cohomology. Zbl 1367.57019 Buchstaber, V. M.; Netay, E. Yu 5 2014 Total positivity, Grassmannian and modified Bessel functions. Zbl 1427.14102 Buchstaber, V. M.; Glutsyuk, A. A. 5 2019 Massey products, toric topology and combinatorics of polytopes. Zbl 1430.13034 Buchstaber, Viktor M.; Limonchenko, Ivan Yu. 5 2019 Modules of differentials of the Atiyah-Hirzebruch spectral sequence. II. Zbl 0222.57029 Bukhshtaber, V. M. 4 1971 Zweiwertige formale Gruppen. Algebraische Theorie und Anwendung auf Cobordismen. I. Zbl 0324.14010 Bukhshtaber, V. M. 4 1975 Combinatorics of simplicial cell complexes and torus actions. Zbl 1098.52003 Bukhshtaber, V. M.; Panov, T. E. 4 2004 Multidimensional vector addition theorems and the Riemann theta functions. Zbl 1061.14502 Buchstaber, V.; Krichever, I. 4 1996 Cobordisms in problems of algebraic topology. Zbl 0398.57041 Bukhshtaber, V. M. 4 1975 Topological applications of the theory of two-valued formal groups. Zbl 0402.57032 Bukhshtaber, V. M. 4 1978 Der Chern-Doldsche Charakter in Kobordismen. I. Zbl 0204.23503 Bukhshtaber, V. M. 4 1970 Manifolds of isospectral matrices and Hessenberg varieties. Zbl 1481.14075 Ayzenberg, Anton; Buchstaber, Victor 4 2021 Cobordisms, manifolds with torus action, and functional equations. Zbl 1431.57033 Buchstaber, V. M. 4 2018 Polynomial Lie algebras and the Zelmanov-Shalev theorem. Zbl 1435.17009 Buchstaber, Victor M. 4 2017 Representations of the Klein group determined by quadruples of polynomials associated with the double confluent Heun equation. Zbl 1395.34086 Buchstaber, V. M.; Tertychnyi, S. I. 4 2018 Two-valued groups, Kummer varieties, and integrable billiards. Zbl 1403.14062 Buchstaber, V. M.; Dragović, Vladimir 4 2018 Differentiation of abelian functions with respect to parameters. Zbl 1152.14044 Bukhshtaber, V. M.; Leĭkin, D. V. 3 2007 Integrable systems with pairwise interactions and functional equations. Zbl 0894.35109 Braden, H. W.; Buchstaber, V. M. 3 1997 Dunkl operators, functional equations, and transformations of the elliptic genera. Zbl 0832.33012 Bukhshtaber, V. M.; Veselov, A. P. 3 1994 Semigroups of maps into groups, operator doubles, and complex cobordisms. Zbl 0846.57023 Buchstaber, V. M. 3 1995 Classification of involutive commutative two-valued groups. Zbl 1526.20085 Buchstaber, Victor M.; Veselov, Alexander P.; Gaifullin, Alexander A. 1 2022 Manifolds of isospectral matrices and Hessenberg varieties. Zbl 1481.14075 Ayzenberg, Anton; Buchstaber, Victor 4 2021 Integrable polynomial Hamiltonian systems and symmetric powers of plane algebraic curves. Zbl 1484.14072 Buchstaber, Victor M.; Mikhailov, Alexander V. 1 2021 Igor’ Moiseevich Krichever. Zbl 1489.01018 Buchstaber, V. M.; Varchenko, A. N.; Veselov, A. P.; Grinevich, P. G.; Grushevsky, S. M.; Dobrokhotov, S. Yu.; Zabrodin, A. V.; Marshakov, A. V.; Mironov, A. E.; Nekrasov, N. A.; Novikov, S. P.; Okounkov, A. Yu.; Olshanetsky, M. A.; Pogrebkov, A. K.; Taimanov, I. A.; Tsfasman, M. A.; Chekhov, L. O.; Sheinman, O. K.; Shlosman, S. B. 1 2021 Manifolds of isospectral arrow matrices. Zbl 1468.58009 Ayzenberg, Anton A.; Buchstaber, Victor M. 1 2021 \(\sigma\)-functions: old and new results. Zbl 1473.14057 Buchstaber, V. M.; Enolski, V. Z.; Leykin, D. V. 9 2020 Yang-Baxter maps, Darboux transformations, and linear approximations of refactorisation problems. Zbl 1519.58020 Buchstaber, V. M.; Igonin, S.; Konstantinou-Rizos, S.; Preobrazhenskaia, M. M. 3 2020 Lie algebras of heat operators in a nonholonomic frame. Zbl 1450.37064 Buchstaber, V. M.; Bunkova, E. Yu. 2 2020 Victor Enolski (1945–2019). Zbl 1454.01051 Previato, Emma; Buchstaber, V. M.; Matveev, Vladimir B.; Eilbeck, J. C.; Braden, Harry; Kunz, Jutta; Lämmerzahl, Claus 2 2020 Analytical and number-theoretical properties of the two-dimensional sigma function. Zbl 1455.11037 Ayano, Takanori; Bukhshtaber, Viktor Matveevich 1 2020 Partially framed manifolds and loop spaces on the group \(\operatorname{SU}(2)\). Zbl 1453.57021 Buchstaber, V. M. 1 2020 Sigma functions and Lie algebras of Schrödinger operators. Zbl 1471.35104 Buchstaber, V. M.; Bunkova, E. Yu. 1 2020 Toric topology of the complex Grassmann manifolds. Zbl 1469.57035 Buchstaber, V. M.; Terzić, S. 11 2019 The foundations of \((2n,k)\)-manifolds. Zbl 1427.57021 Buchstaber, V. M.; Terzić, S. 6 2019 Total positivity, Grassmannian and modified Bessel functions. Zbl 1427.14102 Buchstaber, V. M.; Glutsyuk, A. A. 5 2019 Massey products, toric topology and combinatorics of polytopes. Zbl 1430.13034 Buchstaber, Viktor M.; Limonchenko, Ivan Yu. 5 2019 Ultraelliptic integrals and two-dimensional sigma functions. Zbl 1444.32011 Ayano, T.; Buchstaber, V. M. 3 2019 Conway topograph, \(\operatorname{PGL}_2(\mathbb{Z})\)-dynamics and two-valued groups. Zbl 1484.11153 Buchstaber, V. M.; Veselov, A. P. 2 2019 Construction of two parametric deformation of KdV-hierarchy and solution in terms of meromorphic functions on the sigma divisor of a hyperelliptic curve of genus 3. Zbl 1420.14104 Ayano, Takanori; Buchstaber, Victor M. 2 2019 Fullerenes, polytopes and toric topology. Zbl 1414.52006 Buchstaber, Victor M.; Erokhovets, Nikolay Yu. 8 2018 Cobordisms, manifolds with torus action, and functional equations. Zbl 1431.57033 Buchstaber, V. M. 4 2018 Representations of the Klein group determined by quadruples of polynomials associated with the double confluent Heun equation. Zbl 1395.34086 Buchstaber, V. M.; Tertychnyi, S. I. 4 2018 Two-valued groups, Kummer varieties, and integrable billiards. Zbl 1403.14062 Buchstaber, V. M.; Dragović, Vladimir 4 2018 Recent developments in integrable systems and related topics of mathematical physics. Kezenoi-Am, Russia, 2016. Zbl 1412.37003 1 2018 Cohomological rigidity of manifolds defined by 3-dimensional polytopes. Zbl 1383.57038 Buchstaber, V. M.; Erokhovets, N. Yu.; Masuda, M.; Panov, T. E.; Park, S. 29 2017 Constructions of families of three-dimensional polytopes, characteristic patches of fullerenes, and Pogorelov polytopes. Zbl 1378.05196 Buchstaber, Victor M.; Erokhovets, Nikolai Yu. 12 2017 On monodromy eigenfunctions of Heun equations and boundaries of phase-lock areas in a model of overdamped Josephson effect. Zbl 1377.34108 Buchstaber, V. M.; Glutsyuk, A. A. 10 2017 Infinite-dimensional Lie algebras determined by the space of symmetric squares of hyperelliptic curves. Zbl 1425.17031 Bukhshtaber, V. M.; Mikhaĭlov, A. V. 6 2017 Polynomial Lie algebras and the Zelmanov-Shalev theorem. Zbl 1435.17009 Buchstaber, Victor M. 4 2017 Polynomial dynamical systems and the Korteweg-de Vries equation. Zbl 1360.14093 Buchstaber, V. M. 15 2016 Automorphisms of the solution spaces of special double-confluent Heun equations. Zbl 1360.34176 Buchstaber, V. M.; Tertychnyi, S. I. 13 2016 Topology and geometry of the canonical action of \(T^4\) on the complex Grassmannian \(G_{4,2}\) and the complex projective space \(\mathbb{C}P^5\). Zbl 1376.57041 Buchstaber, Victor M.; Terzić, Svjetlana 12 2016 On determinants of modified Bessel functions and entire solutions of double confluent Heun equations. Zbl 1356.33004 Buchstaber, V. M.; Glutsyuk, A. A. 10 2016 On manifolds defined by 4-colourings of simple 3-polytopes. Zbl 1365.57040 Buchstaber, V. M.; Panov, T. E. 9 2016 Coefficient rings of Tate formal groups determining Krichever genera. Zbl 1348.14111 Bunkova, E. Yu.; Buchstaber, V. M.; Ustinov, A. V. 6 2016 Toric topology. Zbl 1375.14001 Buchstaber, Victor M.; Panov, Taras E. 100 2015 Holomorphic solutions of the double confluent Heun equation associated with the RSJ model of the Josephson junction. Zbl 1326.82028 Buchstaber, V. M.; Tertychnyi, S. I. 15 2015 Truncations of simple polytopes and applications. Zbl 1351.51019 Buchstaber, V. M.; Erokhovets, N. Yu. 14 2015 Coefficient rings of formal group laws. Zbl 1362.14047 Buchstaber, V. M.; Ustinov, A. V. 9 2015 Manifolds of solutions for Hirzebruch functional equations. Zbl 1331.32014 Buchstaber, V. M.; Bunkova, E. Yu. 6 2015 On a remarkable sequence of Bessel matrices. Zbl 1345.15008 Bukhshtaber, V. M.; Tertychnyi, S. I. 6 2015 The universal formal group that defines the elliptic function of level 3. Zbl 1441.55003 Bukhshtaber, V. M.; Bunkova, E. Yu. 6 2015 Hirzebruch functional equation and elliptic functions of level \(d\). Zbl 1336.33037 Buchstaber, V. M.; Netay, I. V. 3 2015 \( \mathbb{C}P(2)\)-multiplicative Hirzebruch genera and elliptic cohomology. Zbl 1367.57019 Buchstaber, V. M.; Netay, E. Yu 5 2014 Dynamical systems on a torus with identity Poincaré map which are associated with the Josephson effect. Zbl 1300.34102 Buchstaber, V. M.; Tertychnyi, S. I. 2 2014 Nikolai Petrovich Dolbilin (on his 70th birthday). Zbl 1291.01031 Andreev, N. N.; Buchstaber, V. M.; Garber, A. I.; Kozlov, V. V.; Konovalov, S. P.; Mal’tsev, A. A.; Nesterenko, Yu V.; Novikov, S. P.; Parshin, A. N.; Sabitov, I. Kh; Semenov, A. L.; Sergeev, A. G.; Sheinman, O. K.; Shtogrin, M. I.; Shchepin, E. V. 2 2014 Ludvig Dmitrievich Faddeev (on his 80th birthday). Zbl 1311.01030 Aref’eva, I. Ya.; Buchstaber, V. M.; Velikhov, E. P.; Zhizhchenko, A. B.; Zakharov, V. E.; Ibragimov, I. A.; Kislyakov, S. V.; Kozlov, V. V.; Kulish, P. P.; Lipatov, L. N.; Maslov, V. P.; Matveev, V. A.; Novikov, S. P.; Osipov, Yu. S.; Polyakov, A. M.; Rubakov, V. A.; Semenov-Tian-Shansky, M. A.; Simonov, Yu. A.; Sinai, Ya. G.; Slavnov, A. A.; Sokolov, I. A.; Takhtajan, L. A.; Fortov, V. E.; Shatashvili, S. L. 1 2014 Hopf algebras and homology of loop suspension spaces. Zbl 1360.55017 Buchstaber, Victor; Grbić, Jelena 1 2014 Explicit solution family for the equation of the resistively shunted Josephson junction model. Zbl 1291.34002 Buchstaber, V. M.; Tertychniy, S. I. 13 2013 Toric genera of homogeneous spaces and their fibrations. Zbl 1312.14118 Buchstaber, Victor M.; Terzić, Svjetlana 1 2013 Complex cobordism and formal groups. Zbl 1275.55004 Buchstaber, V. M. 13 2012 A system on a torus modelling the dynamics of a Josephson junction. Zbl 1248.34062 Buchstaber, V. M.; Karpov, O. V.; Tertychnyj, S. I. 11 2012 Combinatorial 2-truncated cubes and applications. Zbl 1271.52011 Buchstaber, Victor M.; Volodin, Vadim D. 10 2012 Polynomial dynamical systems and ordinary differential equations associated with the heat equation. Zbl 1275.35012 Buchstaber, V. M.; Bunkova, E. Yu. 3 2012 Krichever formal groups. Zbl 1271.55005 Buchstaber, V. M.; Bunkova, E. Yu. 13 2011 Sharp upper and lower bounds for nestohedra. Zbl 1237.52006 Buchstaber, V. M.; Volodin, V. D. 10 2011 Nerve complexes and moment-angle spaces of convex polytopes. Zbl 1298.52017 Ayzenberg, A. A.; Buchstaber, V. M. 9 2011 Polytopes, Fibonacci numbers, Hopf algebras, and quasi-symmetric functions. Zbl 1239.52006 Bukhshtaber, V. M.; Erokhovets, N. Yu 5 2011 Rotation number quantization effect. Zbl 1196.81132 Buchstaber, V. M.; Karpov, O. V.; Tertychniy, S. I. 18 2010 Toric genera. Zbl 1206.57039 Buchstaber, Victor; Panov, Taras; Ray, Nigel 14 2010 Addition theorems, formal group laws and integrable systems. Zbl 1253.37071 Buchstaber, V. M.; Bunkova, E. Yu. 3 2010 The general Krichever genus. Zbl 1226.55004 Buchstaber, V. M. 1 2010 Heat equations and families of two-dimensional sigma functions. Zbl 1185.37148 Bunkova, E. Yu.; Buchstaber, V. M. 2 2009 Solution of the problem of differentiation of abelian functions over parameters for families of \((n, s)\)-curves. Zbl 1156.14315 Bukhshtaber, V. M.; Leĭkin, D. V. 16 2008 Ring of simple polytopes and differential equations. Zbl 1184.52012 Buchstaber, V. M. 14 2008 An invitation to toric topology: vertex four of a remarkable tetrahedron. Zbl 1155.57300 Buchstaber, Victor M.; Ray, Nigel 9 2008 Frobenius \(n\)-homomorphisms, transfers and branched coverings. Zbl 1152.46017 Buchstaber, V. M.; Rees, E. G. 5 2008 Equivariant complex structures on homogeneous spaces and their cobordism classes. Zbl 1170.57026 Buchstaber, Victor M.; Terzić, Svjetlana 3 2008 Face-polynomials of simple polytopes and the two-parameter Todd genus. Zbl 1184.52011 Buchstaber, V. M. 1 2008 Mathematical models of the dynamics of an overdamped Josephson junction. Zbl 1180.34043 Buchstaber, V. M.; Karpov, O. V.; Tertychnyi, S. I. 1 2008 Spaces of polytopes and cobordism of quasitoric manifolds. Zbl 1176.55004 Buchstaber, Victor M.; Panov, Taras E.; Ray, Nigel 22 2007 Dieudonné modules and \(p\)-divisible groups associated with Morava \(kK\)-theory of Eilenberg-Mac Lane spaces. Zbl 1134.55004 Buchstaber, Victor; Lazarev, Andrey 12 2007 Differentiation of abelian functions with respect to parameters. Zbl 1152.14044 Bukhshtaber, V. M.; Leĭkin, D. V. 3 2007 Quasilinear Burgers-Hopf equation and Stasheff polytopes. Zbl 1157.18006 Buchstaber, V. M.; Koritskaya, E. V. 3 2007 The universal equivariant genus and Krichever’s formula. Zbl 1171.55301 Buchstaber, V. M.; Ray, N. 2 2007 Kolmogorov and topology. Zbl 1220.01005 Buchstaber, Victor M. 1 2007 \(n\)-valued groups: theory and applications. Zbl 1129.20045 Buchstaber, Victor M. 18 2006 Integrable equations, addition theorems, and the Riemann-Schottky problem. Zbl 1134.14306 Bukhshtaber, V. M.; Krichever, I. M. 12 2006 Representations of \(m\)-valued groups on triangulations of manifolds. Zbl 1123.57013 Buchstaber, V. M.; Gaifullin, A. A. 2 2006 Functional equations defining multiplication in a continuous Krichever-Novikov basis. Zbl 1152.47302 Bukhshtaber, V. M.; Leĭkin, D. V. 1 2006 Addition laws on Jacobian varieties of plane algebraic curves. Zbl 1132.14024 Bukhshtaber, V. M.; Leĭkin, D. V. 15 2005 Trilinear functional equations. Zbl 1093.14049 Bukhshtaber, V. M.; Lejkin, D. V. 6 2005 The Gelfand transform in commutative algebra. Zbl 1106.13006 Buchstaber, V.; Lazarev, A. 2 2005 Algebras of cellular cochains, and torus actions. Zbl 1068.52020 Baskakov, I. V.; Bukhshtaber, V. M.; Panov, T. E. 29 2004 Heat equations in a nonholomic frame. Zbl 1069.47019 Bukhshtaber, V. M.; Leĭkin, D. V. 9 2004 Torus actions in topology and combinatorics. (Торические действия в топологии и комбинаторике.) Zbl 1107.52010 Bukhshtaber, V. M.; Panov, T. E. 6 2004 Combinatorics of simplicial cell complexes and torus actions. Zbl 1098.52003 Bukhshtaber, V. M.; Panov, T. E. 4 2004 The \(w\)-function of the KdV hierarchy. Zbl 1075.37024 Buchstaber, V. M.; Shorina, S. Yu. 3 2004 Rings of continuous functions, symmetric products, and Frobenius algebras. Zbl 1065.54007 Bukhshtaber, V. M.; Rees, E. G. 11 2003 On the properties of a differential equation describing the dynamics of a strongly shunted Josephson junction. Zbl 1113.34302 Bukhshtaber, V. M.; Karpov, O. V.; Tertychnyi, S. I. 9 2003 Egorov hydrodynamic chains, the Chazy equation, and the group \(SL(2,\mathbb C)\). Zbl 1075.37527 Bukhshtaber, V. M.; Lejkin, D. V.; Pavlov, M. V. 3 2003 Generalized Kramers-Wannier duality for spin systems with non-commutative symmetry. Zbl 1057.81063 Buchstaber, Victor M.; Monastyrsky, Michael I. 3 2003 Third-order commuting multidimensional differential operators that specify the KdV hierarchy. Zbl 1056.37509 Bukhshtaber, V. M.; Shorina, S. Yu. 1 2003 The \(w\)-function of a solution of the \(g\)th stationary KdV equation. Zbl 1060.37054 Bukhshtaber, V. M.; Shorina, S. Yu. 1 2003 Torus actions and their applications in topology and combinatorics. Zbl 1012.52021 Buchstaber, Victor M.; Panov, Taras E. 175 2002 Polynomial Lie algebras. Zbl 1027.17020 Bukhshtaber, V. M.; Leĭkin, D. V. 14 2002 The Gelfand map and symmetric products. Zbl 1015.05092 Buchstaber, V. M.; Rees, E. G. 9 2002 Multidimensional Schrödinger equations with abelian potentials. Zbl 1059.81036 Buchstaber, V. M.; Eilbeck, J. C.; Enolskii, V. Z.; Leykin, D. V.; Salerno, M. 1 2002 Tangential structures on toric manifolds, and connected sums of polytopes. Zbl 0996.52013 Buchstaber, Victor M.; Ray, Nigel 22 2001 A constructive proof of the generalized Gelfand isomorphism. Zbl 0993.54018 Buchstaber, V. M.; Rees, E. G. 2 2001 ...and 69 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 644 Authors 63 Bukhshtaber, Viktor Matveevich 19 Panov, Taras E. 16 Masuda, Mikiya 15 Bunkova, Elena Yur’evna 14 Matsutani, Shigeki 13 Aĭzenberg, Anton Andreevich 13 Enolskiĭ, Viktor Zelikovich 12 Limonchenko, Ivan Yur’evich 12 Lü, Zhi 11 Choi, Suyoung 11 Grbić, Jelena 11 Previato, Emma 11 Sarkar, Soumen 11 Tertychnyĭ, Sergeĭ Ivanovich 10 Erokhovets, Nikolaĭ Yur’evich 9 Bahri, Anthony P. 9 Bendersky, Martin 9 Dragović, Vladimir 9 Gitler Hammer, Samuel Carlos 8 Bakuradze, Malkhaz 8 Cohen, Frederick Ronald 8 Illarionov, Andrei A. 8 Kuroki, Shintarô 8 Leĭkin, Dmitriĭ Viktorovich 8 Millionshchikov, Dmitriĭ Vladimirovich 8 Nakayashiki, Atsushi 7 Geng, Xianguo 7 Gugnin, Dmitriĭ V. 6 Ayano, Takanori 6 Baralić, Đorđe 6 Glutsyuk, Alexey A. 6 Grinevich, Pëtr Georgievich 6 Kishimoto, Daisuke 6 Konstantinou-Rizos, Sotiris 6 López de Medrano, Santiago 6 Song, Jongbaek 6 Suh, Dong Youp 6 Theriault, Stephen D. 6 Veselov, Alexander Petrovich 6 Wiemeler, Michael 6 Živaljević, Rade T. 5 Bernatska, Julia 5 Eilbeck, John Chris 5 Fan, Feifei 5 Grujić, Vladimir N. 5 Kozlowski, Andrzej 5 Lämmerzahl, Claus 5 Park, Seonjeong 5 Ray, Nigel 5 Solomadin, Grigory D. 5 Tempesta, Piergiulio 5 Vershik, Anatoliĭ Moiseevich 5 Yamaguchi, Kohhei 4 Abenda, Simonetta 4 Gaifullin, Alexander A. 4 Hackmann, Eva 4 Iriye, Kouyemon 4 Komeda, Jiryo 4 La Luz, José 4 Notbohm, Dietrich 4 Poddar, Mainak 4 Sati, Hisham 4 Wang, Xiangjun 4 Zhai, Yunyun 4 Zotov, Andrei V. 3 Beben, Piotr 3 Braden, Harry W. 3 Chen, Liman 3 Chernykh, G. S. 3 Civan, Yusuf 3 Goertsches, Oliver 3 Hazewinkel, Michiel 3 Higashitani, Akihiro 3 Hikami, Kazuhiro 3 Igonin, Sergeĭ Aleksandrovich 3 Jojić, Duško 3 Komori, Yasushi 3 Kouloukas, Theodoros E. 3 Kukić, Katarina 3 Kunz, Jutta 3 Lee, Eunjeong 3 Liu, Dengpin 3 Mamaev, Ivan Sergeevich 3 Matsumura, Tomoo 3 Mikhailov, Alexander Vasil’evich 3 Mironov, Andreĭ Evgen’evich 3 Netay, Igor V. 3 Oganesyan, Vardan S. 3 Ônishi, Yoshihiro 3 Park, Hanchul 3 Popkov, Alexey Yu. 3 Rees, Elmer Gethin 3 Saramago, Rui Miguel 3 Stokman, Jasper V. 3 Uma, Vikraman 3 Ustinov, Alekseĭ Vladimirovich 3 Ustinovskiy, Yury M. 3 Vershinin, Vladimir V. 3 Vesnin, Andrei Yu. 3 Wu, Jie ...and 544 more Authors all top 5 Cited in 177 Serials 67 Proceedings of the Steklov Institute of Mathematics 30 Functional Analysis and its Applications 24 Advances in Mathematics 21 Algebraic & Geometric Topology 20 Russian Mathematical Surveys 19 Mathematical Notes 19 Topology and its Applications 16 Journal of Mathematical Physics 15 Osaka Journal of Mathematics 14 Theoretical and Mathematical Physics 12 Journal of Pure and Applied Algebra 11 Journal of Algebra 10 Communications in Mathematical Physics 10 Transactions of the Moscow Mathematical Society 10 Chinese Annals of Mathematics. 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