Edit Profile (opens in new tab) Bukhshtaber, Viktor Matveevich Compute Distance To: Compute 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: 250 Publications since 1966, including 5 Books 10 Contributions as Editor · 11 Further Contributions Biographic References: 3 Publications Co-Authors: 312 Co-Authors with 208 Joint Publications 7,157 Co-Co-Authors all top 5 Co-Authors 46 single-authored 34 Novikov, Sergeĭ Petrovich 21 Leĭkin, Dmitriĭ Viktorovich 16 Panov, Taras E. 12 Tertychnyĭ, Sergeĭ Ivanovich 11 Enolskiĭ, Viktor Zelikovich 10 Bunkova, Elena Yur’evna 10 Kozlov, Valeriĭ Vasil’evich 10 Rees, Elmer Gethin 9 Krichever, Igor’ Moiseevich 9 Mal’tsev, Arkadiĭ Anatol’evich 9 Mishchenko, Aleksandr Sergeevich 8 Sinaĭ, Yakov Grigor’evich 7 Erokhovets, Nikolaĭ Yur’evich 7 Kholodov, Alexander Nickolaevich 7 Parshin, Alexei N. 7 Ray, Nigel 7 Veselov, Alexander Petrovich 6 Terzić, Svjetlana 5 Ayano, Takanori 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 Mikhailov, Alexander Vasil’evich 4 Ol’shanskiĭ, Aleksandr Yur’evich 4 Treshchev, Dmitriĭ Valer’evich 4 Vasil’ev, Viktor Anatol’evich 4 Vershik, Anatoliĭ Moiseevich 3 Adyan, Sergeĭ Ivanovich 3 Aĭzenberg, Anton Andreevich 3 Beklemishev, Lev D. 3 Braden, Harry W. 3 Chernavskiĭ, Alekseĭ Viktorovich 3 Ibragimov, Il’dar Abdullovich 3 Lysenok, Igor’ Geront’evich 3 Margulis, Grigoriĭ Aleksandrovich 3 Maslov, Viktor Pavlovich 3 Reshetnyak, Yuriĭ Grigor’evich 3 Sadovnichiĭ, Viktor Antonovich 3 Semënov, Alekseĭ L’vovich 3 Shchepin, Evgenij V. 3 Sheĭnman, Oleg Karlovich 3 Shiryaev, Al’bert Nikolaevich 3 Shkalikov, Andreĭ Andreevich 3 Shorina, Svetlana Yu. 3 Sosinskiĭ, Alekseĭ Bronislavovich 3 Stëpin, Anatoliĭ Mikhaĭlovich 3 Taimanov, Iskander Asanovich 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 Benyash-Krivets, Valeriĭ Vatslavovich 2 Chernousov, Vladimir I. 2 Chirka, Evgeni M. 2 Dolbilin, Nikolaĭ Petrovich 2 Dubrovin, Boris Anatol’evich 2 Eilbeck, John Chris 2 Enyukov, I. S. 2 Ershov, Yuriĭ Leonidovich 2 Fedorchuk, Vitaly Vitalievich 2 Fel’dman, Konstantin Èduardovich 2 Fomenko, Anatoliĭ Timofeevich 2 Fuchs, Dmitry Borisovich 2 Gaifullin, Alexander A. 2 Grines, Vyacheslav Zigmundovich 2 Grinevich, Pëtr Georgievich 2 Helemskii, Alexander Ya. 2 Ilyashenko, Yulij Sergeevich 2 Kaimanovich, Vadim A. 2 Kazaryan, Maxim Eduardovich 2 Kislyakov, Sergeĭ Vital’evich 2 Kuchment, Peter A. 2 Kulikov, Viktor Stepanovich 2 Kuz’min, Leonid Viktorovich 2 Mikhalëv, Aleksandr Vasil’evich 2 Monastyrskiĭ, Mikhail Il’ich 2 Morozova, Elena Aleksandrovna 2 Nesterenko, Yuriĭ Valentinovich 2 Okun’kov, Andreĭ Yur’evich 2 Osipov, Yuriĭ Sergeevich 2 Piontkovskij, D. I. 2 Ponomarev, Vladimir Ivanovich 2 Prasad, Gopal 2 Prokhorov, Yuriĭ Gennad’evich 2 Rapinchuk, Andrei S. 2 Razborov, Aleksandr Aleksandrovich 2 Sabitov, Idzhad Khakovich 2 Sataev, Evgueni A. 2 Schwarz, Albert S. 2 Sergeev, Armen Glebovich 2 Shokurov, A. V. 2 Suetin, Sergeĭ Pavlovich ...and 214 more Co-Authors all top 5 Serials 82 Russian Mathematical Surveys 22 Functional Analysis and its Applications 10 Proceedings of the Steklov Institute of Mathematics 7 Mathematics of the USSR. Izvestiya 6 IMRN. International Mathematics Research Notices 6 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 6 Moscow Mathematical Journal 6 Chebyshevskiĭ Sbornik 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 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 Topology and its Applications 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 Springer Proceedings in Mathematics & Statistics 1 Arnold Mathematical Journal all top 5 Fields 80 Algebraic geometry (14-XX) 64 Manifolds and cell complexes (57-XX) 51 Algebraic topology (55-XX) 48 History and biography (01-XX) 30 Dynamical systems and ergodic theory (37-XX) 29 Convex and discrete geometry (52-XX) 23 Partial differential equations (35-XX) 21 Special functions (33-XX) 19 Associative rings and algebras (16-XX) 16 Nonassociative rings and algebras (17-XX) 14 Group theory and generalizations (20-XX) 14 Ordinary differential equations (34-XX) 13 Combinatorics (05-XX) 13 Commutative algebra (13-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 Statistical mechanics, structure of matter (82-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Topological groups, Lie groups (22-XX) 5 Functional analysis (46-XX) 5 General topology (54-XX) 5 Biology and other natural sciences (92-XX) 4 Number theory (11-XX) 4 Functions of a complex variable (30-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 \(K\)-theory (19-XX) 3 Numerical analysis (65-XX) 2 Category theory; homological algebra (18-XX) 2 Computer science (68-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 156 Publications have been cited 1,223 times in 610 Documents Cited by ▼ Year ▼ Torus actions and their applications in topology and combinatorics. Zbl 1012.52021Buchstaber, Victor M.; Panov, Taras E. 163 2002 Toric topology. Zbl 1375.14001Buchstaber, Victor M.; Panov, Taras E. 73 2015 Kleinian functions, hyperelliptic Jacobians and applications. Zbl 0911.14019Buchstaber, V. M.; Enolskii, V. Z.; Leykin, D. V. 50 1997 Rational analogues of Abelian functions. Zbl 1056.14049Bukhshtaber, V. M.; Ènol’skiĭ, V. Z.; Leĭkin, D. V. 26 1999 Elliptic Dunkl operators, root systems, and functional equations. Zbl 0842.35128Buchstaber, V. M.; Felder, G.; Veselov, A. P. 25 1994 Torus actions, combinatorial topology, and homological algebra. Zbl 1010.52011Buchstaber, Victor M.; Panov, Taras E. 25 2000 Cohomological rigidity of manifolds defined by 3-dimensional polytopes. Zbl 1383.57038Buchstaber, V. M.; Erokhovets, N. Yu.; Masuda, M.; Panov, T. E.; Park, S. 23 2017 Algebras of cellular cochains, and torus actions. Zbl 1068.52020Baskakov, I. V.; Bukhshtaber, V. M.; Panov, T. E. 22 2004 Tangential structures on toric manifolds, and connected sums of polytopes. Zbl 0996.52013Buchstaber, Victor M.; Ray, Nigel 22 2001 Spaces of polytopes and cobordism of quasitoric manifolds. Zbl 1176.55004Buchstaber, Victor M.; Panov, Taras E.; Ray, Nigel 20 2007 Functional equations associated with addition theorems for elliptic functions and two-valued algebraic groups. Zbl 0724.39005Bukhshtaber, V. M. 20 1990 Uniformization of Jacobi varieties of trigonal curves and nonlinear differential equations. Zbl 0978.58012Bukhshtaber, V. M.; Ènol’skiĭ, V. Z.; Leĭkin, D. V. 20 2000 Torus actions and combinatorics of polytopes. Zbl 0996.52012Buchstaber, V. M.; Panov, T. E. 20 1999 Formal groups, power systems and Adams operators. Zbl 0222.55008Bukhshtaber, V. M.; Novikov, S. P. 18 1971 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 0719.62070Ajvazyan, S. A.; Bukhshtaber, V. M.; Enyukov, I. S.; Meshalkin, L. D. 16 1989 \(n\)-valued groups: theory and applications. Zbl 1129.20045Buchstaber, Victor M. 16 2006 Polynomial dynamical systems and the Korteweg-de Vries equation. Zbl 1360.14093Buchstaber, V. M. 14 2016 Rotation number quantization effect. Zbl 1196.81132Buchstaber, V. M.; Karpov, O. V.; Tertychniy, S. I. 13 2010 Toric genera. Zbl 1206.57039Buchstaber, Victor; Panov, Taras; Ray, Nigel 13 2010 Hyperelliptic Kleinian functions and applications. Zbl 0911.14020Bukhshtaber, V. M.; Ènol’skiĭ, V. Z.; Leĭkin, D. V. 13 1997 Integrable correspondences and algebraic representations of multivalued groups. Zbl 0885.58018Buchstaber, V. M.; Veselov, A. P. 12 1996 Solution of the problem of differentiation of abelian functions over parameters for families of \((n, s)\)-curves. Zbl 1156.14315Bukhshtaber, V. M.; Leĭkin, D. V. 12 2008 Polynomial Lie algebras. Zbl 1027.17020Bukhshtaber, V. M.; Leĭkin, D. V. 12 2002 Holomorphic solutions of the double confluent Heun equation associated with the RSJ model of the Josephson junction. Zbl 1326.82028Buchstaber, V. M.; Tertychnyi, S. I. 12 2015 Multivalued groups, their representations and Hopf algebras. Zbl 0891.20044Buchstaber, V. M.; Rees, E. G. 12 1997 Krichever formal groups. Zbl 1271.55005Buchstaber, V. M.; Bunkova, E. Yu. 12 2011 Addition laws on Jacobian varieties of plane algebraic curves. Zbl 1132.14024Bukhshtaber, V. M.; Leĭkin, D. V. 11 2005 Landweber-Novikov algebra and formal vector fields on the line. Zbl 0402.55008Bukhshtaber, V. M.; Shokurov, A. V. 11 1978 Explicit solution family for the equation of the resistively shunted Josephson junction model. Zbl 1291.34002Buchstaber, V. M.; Tertychniy, S. I. 11 2013 Automorphisms of the solution spaces of special double-confluent Heun equations. Zbl 1360.34176Buchstaber, V. M.; Tertychnyi, S. I. 11 2016 Dieudonné modules and \(p\)-divisible groups associated with Morava \(kK\)-theory of Eilenberg-Mac Lane spaces. Zbl 1134.55004Buchstaber, Victor; Lazarev, Andrey 10 2007 Ring of simple polytopes and differential equations. Zbl 1184.52012Buchstaber, V. M. 10 2008 Complex cobordism and formal groups. Zbl 1275.55004Buchstaber, V. M. 10 2012 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 1376.57041Buchstaber, Victor M.; Terzić, Svjetlana 10 2016 Toric manifolds and complex cobordisms. Zbl 0967.57030Bukhshtaber, V. M.; Ray, N. 10 1998 Truncations of simple polytopes and applications. Zbl 1351.51019Buchstaber, V. M.; Erokhovets, N. Yu. 9 2015 Formal groups, functional equations and generalized cohomology theories. Zbl 0694.55008Bukhshtaber, V. M.; Kholodov, A. N. 9 1990 An invitation to toric topology: vertex four of a remarkable tetrahedron. Zbl 1155.57300Buchstaber, Victor M.; Ray, Nigel 9 2008 Rings of continuous functions, symmetric products, and Frobenius algebras. Zbl 1065.54007Bukhshtaber, V. M.; Rees, E. G. 9 2003 A system on a torus modelling the dynamics of a Josephson junction. Zbl 1248.34062Buchstaber, V. M.; Karpov, O. V.; Tertychnyj, S. I. 9 2012 The Chern-Dold character in cobordisms. I. Zbl 0219.57027Bukhshtaber, V. M. 9 1971 Constructions of families of three-dimensional polytopes, characteristic patches of fullerenes, and Pogorelov polytopes. Zbl 1378.05196Buchstaber, Victor M.; Erokhovets, Nikolai Yu. 9 2017 Integrable equations, addition theorems, and the Riemann-Schottky problem. Zbl 1134.14306Bukhshtaber, V. M.; Krichever, I. M. 8 2006 Fullerenes, polytopes and toric topology. Zbl 1414.52006Buchstaber, Victor M.; Erokhovets, Nikolay Yu. 8 2018 Sharp upper and lower bounds for nestohedra. Zbl 1237.52006Buchstaber, V. M.; Volodin, V. D. 8 2011 \(\sigma\)-functions of \((n,s)\)-curves. Zbl 1081.14519Bukhshtaber, V. M.; Leĭkin, D. V.; Ènol’skiĭ, V. Z. 8 1999 The Gelfand map and symmetric products. Zbl 1015.05092Buchstaber, V. M.; Rees, E. G. 8 2002 Combinatorial 2-truncated cubes and applications. Zbl 1271.52011Buchstaber, Victor M.; Volodin, Vadim D. 8 2012 Formal groups and their role in the apparatus of algebraic topology. Zbl 0224.57006Bukhshtaber, V. M.; Mishchenko, A. S.; Novikov, S. P. 8 1971 Nerve complexes and moment-angle spaces of convex polytopes. Zbl 1298.52017Ayzenberg, A. A.; Buchstaber, V. M. 8 2011 On determinants of modified Bessel functions and entire solutions of double confluent Heun equations. Zbl 1356.33004Buchstaber, V. M.; Glutsyuk, A. A. 8 2016 Coefficient rings of formal group laws. Zbl 1362.14047Buchstaber, V. M.; Ustinov, A. V. 8 2015 Combinatorial algebras and multivalued involutive groups. Zbl 0878.05082Buchstaber, V. M.; Evdokimov, S. A.; Ponomarenko, I. N.; Vershik, A. M. 8 1996 Vector addition theorems and Baker-Akhiezer functions. Zbl 0803.39006Bukhshtaber, V. M.; Krichever, I. M. 8 1993 On manifolds defined by 4-colourings of simple 3-polytopes. Zbl 1365.57040Buchstaber, V. M.; Panov, T. E. 7 2016 Heat equations in a nonholomic frame. Zbl 1069.47019Bukhshtaber, V. M.; Leĭkin, D. V. 7 2004 The general analytic solution of a functional equation of addition type. Zbl 0873.39010Braden, H. W.; Buchstaber, V. M. 7 1997 Torus actions in topology and combinatorics. (Торические действия в топологии и комбинаторике.) Zbl 1107.52010Bukhshtaber, V. M.; Panov, T. E. 6 2004 On the properties of a differential equation describing the dynamics of a strongly shunted Josephson junction. Zbl 1113.34302Bukhshtaber, V. M.; Karpov, O. V.; Tertychnyi, S. I. 6 2003 On monodromy eigenfunctions of Heun equations and boundaries of phase-lock areas in a model of overdamped Josephson effect. Zbl 1377.34108Buchstaber, V. M.; Glutsyuk, A. A. 6 2017 Formal groups and their role in the apparatus of algebraic topology. Zbl 0226.55007Bukhshtaber, V. M.; Mishchenko, A. S.; Novikov, S. P. 6 1972 Multivalued groups and Hopf \(n\)-algebras. Zbl 0879.20042Bukhshtaber, V. M.; Rees, E. G. 6 1996 Manifolds of solutions for Hirzebruch functional equations. Zbl 1331.32014Buchstaber, V. M.; Bunkova, E. Yu. 6 2015 Trilinear functional equations. Zbl 1093.14049Bukhshtaber, V. M.; Lejkin, D. V. 5 2005 On a remarkable sequence of Bessel matrices. Zbl 1345.15008Bukhshtaber, V. M.; Tertychnyi, S. I. 5 2015 The Landweber-Novikov algebra and formal vector fields on the line. Zbl 0409.55004Bukhshtaber, V. M.; Shokurov, A. V. 5 1979 Formal groups, power systems and Adams operators. Zbl 0239.55005Bukhshtaber, V. M.; Novikov, S. P. 5 1971 Massey products, toric topology and combinatorics of polytopes. Zbl 1430.13034Buchstaber, Viktor M.; Limonchenko, Ivan Yu. 5 2019 Multivalued groups, \(n\)-Hopf algebras and \(n\)-ring homomorphisms. Zbl 0903.20039Buchstaber, V. M.; Rees, E. G. 5 1998 K-theory on the category of finite cell complexes. Zbl 0182.25803Bukhshtaber, V. M.; Mishchenko, A. S. 5 1969 Infinite-dimensional Lie algebras determined by the space of symmetric squares of hyperelliptic curves. Zbl 1425.17031Bukhshtaber, V. M.; Mikhaĭlov, A. V. 5 2017 Coefficient rings of Tate formal groups determining Krichever genera. Zbl 1348.14111Bunkova, E. Yu.; Buchstaber, V. M.; Ustinov, A. V. 5 2016 On a remarkable functional equation in the theory of generalized Dunkl operators and transformations of elliptic genera. Zbl 0870.39009Buchstaber, V. M.; Veselov, A. P. 5 1996 \( \mathbb{C}P(2)\)-multiplicative Hirzebruch genera and elliptic cohomology. Zbl 1367.57019Buchstaber, V. M.; Netay, E. Yu 5 2014 Frobenius \(n\)-homomorphisms, transfers and branched coverings. Zbl 1152.46017Buchstaber, V. M.; Rees, E. G. 4 2008 Topological applications of the theory of two-valued formal groups. Zbl 0402.57032Bukhshtaber, V. M. 4 1978 Combinatorics of simplicial cell complexes and torus actions. Zbl 1098.52003Bukhshtaber, V. M.; Panov, T. E. 4 2004 Total positivity, Grassmannian and modified Bessel functions. Zbl 1427.14102Buchstaber, V. M.; Glutsyuk, A. A. 4 2019 Polytopes, Fibonacci numbers, Hopf algebras, and quasi-symmetric functions. Zbl 1239.52006Bukhshtaber, V. M.; Erokhovets, N. Yu 4 2011 Flag manifolds and the Landweber-Novikov algebra. Zbl 0907.57025Buchstaber, Victor M.; Ray, Nigel 4 1998 The Yang-Baxter transformation. Zbl 1015.17012Bukhshtaber, V. M. 4 1998 Multidimensional vector addition theorems and the Riemann theta functions. Zbl 1061.14502Buchstaber, V.; Krichever, I. 4 1996 Dunkl operators, functional equations, and transformations of the elliptic genera. Zbl 0832.33012Bukhshtaber, V. M.; Veselov, A. P. 3 1994 Cobordisms in problems of algebraic topology. Zbl 0398.57041Bukhshtaber, V. M. 3 1975 Hirzebruch functional equation and elliptic functions of level \(d\). Zbl 1336.33037Buchstaber, V. M.; Netay, I. V. 3 2015 Characteristic cobordism classes and topological applications of the theories of one-valued and two-valued formal groups. Zbl 0428.55002Bukhshtaber, V. M. 3 1979 Semigroups of maps into groups, operator doubles, and complex cobordisms. Zbl 0846.57023Buchstaber, V. M. 3 1995 Zweiwertige formale Gruppen. Algebraische Theorie und Anwendung auf Cobordismen. I. Zbl 0324.14010Bukhshtaber, V. M. 3 1975 Two-valued formal groups. Algebraic theory and applications to cobordism. I. Zbl 0339.14032Bukhshtaber, V. M. 3 1977 Ultraelliptic integrals and two-dimensional sigma functions. Zbl 1444.32011Ayano, T.; Buchstaber, V. M. 3 2019 The foundations of \((2n,k)\)-manifolds. Zbl 1427.57021Buchstaber, V. M.; Terzić, S. 3 2019 Groups of polynomial transformations of a line, non-formal symplectic manifolds, and the Landweber-Novikov algebra. Zbl 1050.53069Bukhshtaber, V. M. 3 1999 Generalized Kramers-Wannier duality for spin systems with non-commutative symmetry. Zbl 1057.81063Buchstaber, Victor M.; Monastyrsky, Michael I. 3 2003 Integrable systems with pairwise interactions and functional equations. Zbl 0894.35109Braden, H. W.; Buchstaber, V. M. 3 1997 A recursive family of differential polynomials generated by the Sylvester identity, and addition theorems for hyperelliptic Kleinian functions. Zbl 1126.33301Bukhshtaber, V. M.; Leĭkin, D. V.; Ènol’skiĭ, V. Z. 3 1997 Egorov hydrodynamic chains, the Chazy equation, and the group \(SL(2,\mathbb C)\). Zbl 1075.37527Bukhshtaber, V. M.; Lejkin, D. V.; Pavlov, M. V. 3 2003 Addition theorems, formal group laws and integrable systems. Zbl 1253.37071Buchstaber, V. M.; Bunkova, E. Yu. 3 2010 Der Chern-Doldsche Charakter in Kobordismen. I. Zbl 0204.23503Bukhshtaber, V. M. 3 1970 Modules of differentials of the Atiyah-Hirzebruch spectral sequence. II. Zbl 0222.57029Bukhshtaber, V. M. 3 1971 Representations of the Klein group determined by quadruples of polynomials associated with the double confluent Heun equation. Zbl 1395.34086Buchstaber, V. M.; Tertychnyi, S. I. 3 2018 Lie algebras of heat operators in a nonholonomic frame. Zbl 1450.37064Buchstaber, V. M.; Bunkova, E. Yu. 2 2020 Victor Enolski (1945–2019). Zbl 1454.01051Previato, Emma; Buchstaber, V. M.; Matveev, Vladimir B.; Eilbeck, J. C.; Braden, Harry; Kunz, Jutta; Lämmerzahl, Claus 1 2020 Analytical and number-theoretical properties of the two-dimensional sigma function. Zbl 1455.11037Ayano, Takanori; Bukhshtaber, Viktor Matveevich 1 2020 Partially framed manifolds and loop spaces on the group \(\operatorname{SU}(2)\). Zbl 1453.57021Buchstaber, V. M. 1 2020 Sigma functions and Lie algebras of Schrödinger operators. Zbl 1471.35104Buchstaber, V. M.; Bunkova, E. Yu. 1 2020 \(\sigma\)-functions: old and new results. Zbl 1473.14057Buchstaber, V. M.; Enolski, V. Z.; Leykin, D. V. 1 2020 Massey products, toric topology and combinatorics of polytopes. Zbl 1430.13034Buchstaber, Viktor M.; Limonchenko, Ivan Yu. 5 2019 Total positivity, Grassmannian and modified Bessel functions. Zbl 1427.14102Buchstaber, V. M.; Glutsyuk, A. A. 4 2019 Ultraelliptic integrals and two-dimensional sigma functions. Zbl 1444.32011Ayano, T.; Buchstaber, V. M. 3 2019 The foundations of \((2n,k)\)-manifolds. Zbl 1427.57021Buchstaber, V. M.; Terzić, S. 3 2019 Toric topology of the complex Grassmann manifolds. Zbl 1469.57035Buchstaber, V. M.; Terzić, S. 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 1420.14104Ayano, Takanori; Buchstaber, Victor M. 2 2019 Fullerenes, polytopes and toric topology. Zbl 1414.52006Buchstaber, Victor M.; Erokhovets, Nikolay Yu. 8 2018 Representations of the Klein group determined by quadruples of polynomials associated with the double confluent Heun equation. Zbl 1395.34086Buchstaber, V. M.; Tertychnyi, S. I. 3 2018 Two-valued groups, Kummer varieties, and integrable billiards. Zbl 1403.14062Buchstaber, V. M.; Dragović, Vladimir 2 2018 Cobordisms, manifolds with torus action, and functional equations. Zbl 1431.57033Buchstaber, V. M. 2 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 1383.57038Buchstaber, V. M.; Erokhovets, N. Yu.; Masuda, M.; Panov, T. E.; Park, S. 23 2017 Constructions of families of three-dimensional polytopes, characteristic patches of fullerenes, and Pogorelov polytopes. Zbl 1378.05196Buchstaber, Victor M.; Erokhovets, Nikolai Yu. 9 2017 On monodromy eigenfunctions of Heun equations and boundaries of phase-lock areas in a model of overdamped Josephson effect. Zbl 1377.34108Buchstaber, V. M.; Glutsyuk, A. A. 6 2017 Infinite-dimensional Lie algebras determined by the space of symmetric squares of hyperelliptic curves. Zbl 1425.17031Bukhshtaber, V. M.; Mikhaĭlov, A. V. 5 2017 Polynomial Lie algebras and the Zelmanov-Shalev theorem. Zbl 1435.17009Buchstaber, Victor M. 3 2017 Polynomial dynamical systems and the Korteweg-de Vries equation. Zbl 1360.14093Buchstaber, V. M. 14 2016 Automorphisms of the solution spaces of special double-confluent Heun equations. Zbl 1360.34176Buchstaber, V. M.; Tertychnyi, S. I. 11 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 1376.57041Buchstaber, Victor M.; Terzić, Svjetlana 10 2016 On determinants of modified Bessel functions and entire solutions of double confluent Heun equations. Zbl 1356.33004Buchstaber, V. M.; Glutsyuk, A. A. 8 2016 On manifolds defined by 4-colourings of simple 3-polytopes. Zbl 1365.57040Buchstaber, V. M.; Panov, T. E. 7 2016 Coefficient rings of Tate formal groups determining Krichever genera. Zbl 1348.14111Bunkova, E. Yu.; Buchstaber, V. M.; Ustinov, A. V. 5 2016 Toric topology. Zbl 1375.14001Buchstaber, Victor M.; Panov, Taras E. 73 2015 Holomorphic solutions of the double confluent Heun equation associated with the RSJ model of the Josephson junction. Zbl 1326.82028Buchstaber, V. M.; Tertychnyi, S. I. 12 2015 Truncations of simple polytopes and applications. Zbl 1351.51019Buchstaber, V. M.; Erokhovets, N. Yu. 9 2015 Coefficient rings of formal group laws. Zbl 1362.14047Buchstaber, V. M.; Ustinov, A. V. 8 2015 Manifolds of solutions for Hirzebruch functional equations. Zbl 1331.32014Buchstaber, V. M.; Bunkova, E. Yu. 6 2015 On a remarkable sequence of Bessel matrices. Zbl 1345.15008Bukhshtaber, V. M.; Tertychnyi, S. I. 5 2015 Hirzebruch functional equation and elliptic functions of level \(d\). Zbl 1336.33037Buchstaber, V. M.; Netay, I. V. 3 2015 The universal formal group that defines the elliptic function of level 3. Zbl 1441.55003Bukhshtaber, V. M.; Bunkova, E. Yu. 2 2015 \( \mathbb{C}P(2)\)-multiplicative Hirzebruch genera and elliptic cohomology. Zbl 1367.57019Buchstaber, V. M.; Netay, E. Yu 5 2014 Nikolai Petrovich Dolbilin (on his 70th birthday). Zbl 1291.01031Andreev, 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 Dynamical systems on a torus with identity Poincaré map which are associated with the Josephson effect. Zbl 1300.34102Buchstaber, V. M.; Tertychnyi, S. I. 2 2014 Hopf algebras and homology of loop suspension spaces. Zbl 1360.55017Buchstaber, Victor; Grbić, Jelena 1 2014 Ludvig Dmitrievich Faddeev (on his 80th birthday). Zbl 1311.01030Aref’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 Explicit solution family for the equation of the resistively shunted Josephson junction model. Zbl 1291.34002Buchstaber, V. M.; Tertychniy, S. I. 11 2013 Toric genera of homogeneous spaces and their fibrations. Zbl 1312.14118Buchstaber, Victor M.; Terzić, Svjetlana 1 2013 Complex cobordism and formal groups. Zbl 1275.55004Buchstaber, V. M. 10 2012 A system on a torus modelling the dynamics of a Josephson junction. Zbl 1248.34062Buchstaber, V. M.; Karpov, O. V.; Tertychnyj, S. I. 9 2012 Combinatorial 2-truncated cubes and applications. Zbl 1271.52011Buchstaber, Victor M.; Volodin, Vadim D. 8 2012 Polynomial dynamical systems and ordinary differential equations associated with the heat equation. Zbl 1275.35012Buchstaber, V. M.; Bunkova, E. Yu. 3 2012 Krichever formal groups. Zbl 1271.55005Buchstaber, V. M.; Bunkova, E. Yu. 12 2011 Sharp upper and lower bounds for nestohedra. Zbl 1237.52006Buchstaber, V. M.; Volodin, V. D. 8 2011 Nerve complexes and moment-angle spaces of convex polytopes. Zbl 1298.52017Ayzenberg, A. A.; Buchstaber, V. M. 8 2011 Polytopes, Fibonacci numbers, Hopf algebras, and quasi-symmetric functions. Zbl 1239.52006Bukhshtaber, V. M.; Erokhovets, N. Yu 4 2011 Rotation number quantization effect. Zbl 1196.81132Buchstaber, V. M.; Karpov, O. V.; Tertychniy, S. I. 13 2010 Toric genera. Zbl 1206.57039Buchstaber, Victor; Panov, Taras; Ray, Nigel 13 2010 Addition theorems, formal group laws and integrable systems. Zbl 1253.37071Buchstaber, V. M.; Bunkova, E. Yu. 3 2010 The general Krichever genus. Zbl 1226.55004Buchstaber, V. M. 1 2010 Heat equations and families of two-dimensional sigma functions. Zbl 1185.37148Bunkova, 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 1156.14315Bukhshtaber, V. M.; Leĭkin, D. V. 12 2008 Ring of simple polytopes and differential equations. Zbl 1184.52012Buchstaber, V. M. 10 2008 An invitation to toric topology: vertex four of a remarkable tetrahedron. Zbl 1155.57300Buchstaber, Victor M.; Ray, Nigel 9 2008 Frobenius \(n\)-homomorphisms, transfers and branched coverings. Zbl 1152.46017Buchstaber, V. M.; Rees, E. G. 4 2008 Equivariant complex structures on homogeneous spaces and their cobordism classes. Zbl 1170.57026Buchstaber, Victor M.; Terzić, Svjetlana 2 2008 Face-polynomials of simple polytopes and the two-parameter Todd genus. Zbl 1184.52011Buchstaber, V. M. 1 2008 Mathematical models of the dynamics of an overdamped Josephson junction. Zbl 1180.34043Buchstaber, V. M.; Karpov, O. V.; Tertychnyi, S. I. 1 2008 Spaces of polytopes and cobordism of quasitoric manifolds. Zbl 1176.55004Buchstaber, Victor M.; Panov, Taras E.; Ray, Nigel 20 2007 Dieudonné modules and \(p\)-divisible groups associated with Morava \(kK\)-theory of Eilenberg-Mac Lane spaces. Zbl 1134.55004Buchstaber, Victor; Lazarev, Andrey 10 2007 Differentiation of abelian functions with respect to parameters. Zbl 1152.14044Bukhshtaber, V. M.; Leĭkin, D. V. 2 2007 Quasilinear Burgers-Hopf equation and Stasheff polytopes. Zbl 1157.18006Buchstaber, V. M.; Koritskaya, E. V. 2 2007 The universal equivariant genus and Krichever’s formula. Zbl 1171.55301Buchstaber, V. M.; Ray, N. 2 2007 \(n\)-valued groups: theory and applications. Zbl 1129.20045Buchstaber, Victor M. 16 2006 Integrable equations, addition theorems, and the Riemann-Schottky problem. Zbl 1134.14306Bukhshtaber, V. M.; Krichever, I. M. 8 2006 Representations of \(m\)-valued groups on triangulations of manifolds. Zbl 1123.57013Buchstaber, V. M.; Gaifullin, A. A. 2 2006 Functional equations defining multiplication in a continuous Krichever-Novikov basis. Zbl 1152.47302Bukhshtaber, V. M.; Leĭkin, D. V. 1 2006 Addition laws on Jacobian varieties of plane algebraic curves. Zbl 1132.14024Bukhshtaber, V. M.; Leĭkin, D. V. 11 2005 Trilinear functional equations. Zbl 1093.14049Bukhshtaber, V. M.; Lejkin, D. V. 5 2005 The Gelfand transform in commutative algebra. Zbl 1106.13006Buchstaber, V.; Lazarev, A. 2 2005 Algebras of cellular cochains, and torus actions. Zbl 1068.52020Baskakov, I. V.; Bukhshtaber, V. M.; Panov, T. E. 22 2004 Heat equations in a nonholomic frame. Zbl 1069.47019Bukhshtaber, V. M.; Leĭkin, D. V. 7 2004 Torus actions in topology and combinatorics. (Торические действия в топологии и комбинаторике.) Zbl 1107.52010Bukhshtaber, V. M.; Panov, T. E. 6 2004 Combinatorics of simplicial cell complexes and torus actions. Zbl 1098.52003Bukhshtaber, V. M.; Panov, T. E. 4 2004 The \(w\)-function of the KdV hierarchy. Zbl 1075.37024Buchstaber, V. M.; Shorina, S. Yu. 2 2004 Rings of continuous functions, symmetric products, and Frobenius algebras. Zbl 1065.54007Bukhshtaber, V. M.; Rees, E. G. 9 2003 On the properties of a differential equation describing the dynamics of a strongly shunted Josephson junction. Zbl 1113.34302Bukhshtaber, V. M.; Karpov, O. V.; Tertychnyi, S. I. 6 2003 Generalized Kramers-Wannier duality for spin systems with non-commutative symmetry. Zbl 1057.81063Buchstaber, Victor M.; Monastyrsky, Michael I. 3 2003 Egorov hydrodynamic chains, the Chazy equation, and the group \(SL(2,\mathbb C)\). Zbl 1075.37527Bukhshtaber, V. M.; Lejkin, D. V.; Pavlov, M. V. 3 2003 Torus actions and their applications in topology and combinatorics. Zbl 1012.52021Buchstaber, Victor M.; Panov, Taras E. 163 2002 Polynomial Lie algebras. Zbl 1027.17020Bukhshtaber, V. M.; Leĭkin, D. V. 12 2002 The Gelfand map and symmetric products. Zbl 1015.05092Buchstaber, V. M.; Rees, E. G. 8 2002 Multidimensional Schrödinger equations with abelian potentials. Zbl 1059.81036Buchstaber, 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 0996.52013Buchstaber, Victor M.; Ray, Nigel 22 2001 A constructive proof of the generalized Gelfand isomorphism. Zbl 0993.54018Buchstaber, V. M.; Rees, E. G. 2 2001 Torus actions, combinatorial topology, and homological algebra. Zbl 1010.52011Buchstaber, Victor M.; Panov, Taras E. 25 2000 Uniformization of Jacobi varieties of trigonal curves and nonlinear differential equations. Zbl 0978.58012Bukhshtaber, V. M.; Ènol’skiĭ, V. Z.; Leĭkin, D. V. 20 2000 Torus actions determined by simple polytopes. Zbl 0978.13012Buchstaber, Victor M.; Panov, Taras E. 1 2000 Moment-angle complexes and combinatorics of simplicial manifolds. Zbl 0974.52013Bukhshtaber, V. M.; Panov, T. E. 1 2000 The index of an equivariant vector field and addition theorems for Pontryagin classes. Zbl 0969.55001Bukhshtaber, V. M.; Fel’dman, K. È. 1 2000 Algebraic aspects of the theory of multiplications in complex cobordism theory. Zbl 0971.57038Botvinnik, B. I.; Buchshtaber, V. M.; Novikov, S. P.; Yuzvinskij, S. A. 1 2000 Rational analogues of Abelian functions. Zbl 1056.14049Bukhshtaber, V. M.; Ènol’skiĭ, V. Z.; Leĭkin, D. V. 26 1999 Torus actions and combinatorics of polytopes. Zbl 0996.52012Buchstaber, V. M.; Panov, T. E. 20 1999 \(\sigma\)-functions of \((n,s)\)-curves. Zbl 1081.14519Bukhshtaber, V. M.; Leĭkin, D. V.; Ènol’skiĭ, V. Z. 8 1999 Groups of polynomial transformations of a line, non-formal symplectic manifolds, and the Landweber-Novikov algebra. Zbl 1050.53069Bukhshtaber, V. M. 3 1999 ...and 56 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 561 Authors 58 Bukhshtaber, Viktor Matveevich 16 Panov, Taras E. 14 Bunkova, Elena Yur’evna 14 Masuda, Mikiya 13 Matsutani, Shigeki 11 Aĭzenberg, Anton Andreevich 11 Enolskiĭ, Viktor Zelikovich 11 Grbić, Jelena 11 Limonchenko, Ivan Yur’evich 11 Lü, Zhi 11 Tertychnyĭ, Sergeĭ Ivanovich 10 Choi, Suyoung 10 Previato, Emma 10 Sarkar, Soumen 9 Bahri, Anthony P. 9 Dragović, Vladimir 9 Gitler Hammer, Samuel Carlos 8 Cohen, Frederick Ronald 8 Erokhovets, Nikolaĭ Yur’evich 8 Millionshchikov, Dmitriĭ Vladimirovich 7 Bakuradze, Malkhaz 7 Geng, Xianguo 7 Leĭkin, Dmitriĭ Viktorovich 6 Ayano, Takanori 6 Grinevich, Pëtr Georgievich 6 Illarionov, Andrei A. 6 Kuroki, Shintarô 6 López de Medrano, Santiago 6 Theriault, Stephen D. 6 Wiemeler, Michael 6 Živaljević, Rade T. 5 Baralić, Đorđe 5 Eilbeck, John Chris 5 Fan, Feifei 5 Grujić, Vladimir N. 5 Gugnin, Dmitriĭ V. 5 Nakayashiki, Atsushi 5 Suh, Dong Youp 5 Tempesta, Piergiulio 5 Vershik, Anatoliĭ Moiseevich 5 Veselov, Alexander Petrovich 4 Abenda, Simonetta 4 Gaifullin, Alexander A. 4 Kozlowski, Andrzej 4 La Luz, José 4 Lämmerzahl, Claus 4 Notbohm, Dietrich 4 Park, Seonjeong 4 Poddar, Mainak 4 Ray, Nigel 4 Wang, Xiangjun 4 Yamaguchi, Kohhei 4 Zhai, Yunyun 3 Beben, Piotr 3 Bernatska, Julia 3 Braden, Harry W. 3 Chen, Liman 3 Civan, Yusuf 3 Hackmann, Eva 3 Hazewinkel, Michiel 3 Hikami, Kazuhiro 3 Iriye, Kouyemon 3 Kishimoto, Daisuke 3 Komori, Yasushi 3 Kukić, Katarina 3 Liu, Dengpin 3 Mikhailov, Alexander Vasil’evich 3 Mironov, Andreĭ Evgen’evich 3 Netay, Igor V. 3 Park, Hanchul 3 Popkov, Alexey Yu. 3 Rees, Elmer Gethin 3 Saramago, Rui Miguel 3 Sati, Hisham 3 Solomadin, Grigory D. 3 Song, Jongbaek 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 3 Yu, Li 2 Abramyan, Semyon A. 2 Abusev, R. A. jun. 2 Adiprasito, Karim Alexander 2 Aisbett, Natalie 2 Arroja Neves, André 2 Athorne, Chris 2 Bayeh, Marzieh 2 Borisov, Alekseĭ Vladimirovich 2 Brezhnev, Yurii V. 2 Burban, Igor 2 Cai, Li 2 Cao, Xiangyu 2 Carlson, Magnus 2 Chalykh, Oleg A. 2 Chen, Junda 2 Domokos, Mátyás ...and 461 more Authors all top 5 Cited in 162 Serials 66 Proceedings of the Steklov Institute of Mathematics 27 Functional Analysis and its Applications 23 Advances in Mathematics 19 Russian Mathematical Surveys 18 Topology and its Applications 18 Algebraic & Geometric Topology 17 Mathematical Notes 16 Journal of Mathematical Physics 14 Osaka Journal of Mathematics 13 Theoretical and Mathematical Physics 11 Journal of Pure and Applied Algebra 10 Journal of Algebra 10 Transactions of the Moscow Mathematical Society 9 Journal of Geometry and Physics 9 Proceedings of the American Mathematical Society 9 Transactions of the American Mathematical Society 9 Chinese Annals of Mathematics. 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