Edit Profile (opens in new tab) Schwarz, Albert S. Co-Author Distance Author ID: schwarz.albert-s Published as: Schwarz, Albert; Shvarts, A. S.; Schwarz, A. S.; Schwarz, A.; Schwarz, Albert S. more...less Further Spellings: Schwarz, Albert Solomonovich External Links: MGP · Wikidata · Google Scholar · Math-Net.Ru · GND · IdRef Documents Indexed: 172 Publications since 1953, including 4 Books and 16 Additional arXiv Preprints Co-Authors: 119 Co-Authors with 97 Joint Publications 4,028 Co-Co-Authors all top 5 Co-Authors 71 single-authored 10 Rosly, A. A. 9 Konechny, Anatoly 8 Baranov, M. A. 5 Frolov, I. V. 5 Fuchs, Dmitry Borisovich 5 Kontsevich, Maxim 5 Vologodsky, Vadim 5 Xu, Renjun 4 Fateev, Vladimir A. 4 Liou, Jia-Ming (Frank) 4 Movshev, Michael 4 Movshev, Mikhail V. 4 Shapiro, Ilya Lvovich 3 Astashkevich, Alexander 3 Nekrasov, Nikita Alexandrovich 3 Novikov, Sergeĭ Petrovich 2 Bukhshtaber, Viktor Matveevich 2 Connes, Alain 2 Dolgikh, S. N. 2 Frolov, Igor 2 Khudaverdyan, O. M. 2 Krichever, Igor’ Moiseevich 2 Lando, Sergei K. 2 Luu, Martin T. 2 Manin, Yuriĭ Ivanovich 2 Mikhailov, Andrei Yu. 2 Penkava, Michael 2 Sosinskiĭ, Alekseĭ Bronislavovich 2 Tyupkin, Yu. S. 2 Vasil’ev, Viktor Anatol’evich 2 Voronov, Alexander A. 2 Walcher, Johannes 2 Zaboronsky, Oleg 1 Anagnostopoulos, Konstantinos N. 1 Aptekarev, Alexander Ivanovich 1 Astashov, A. M. 1 Astashova, Irina Viktorovna 1 Atiyah, Michael Francis 1 Baranov, Aleksandr Mikhaĭlovich 1 Bocharov, Alexei V. 1 Borel, Armand 1 Bowick, Mark J. 1 Chaitin, Gregory John 1 Chen, Yujun 1 Chetverikov, Vladimir N. 1 Chirka, Evgeniĭ Mikhaĭlovich 1 Diaz y Diaz, Francisco 1 Dieng, Momar 1 Douglas, Michael R. 1 Efremovich, Vadim A. 1 Feĭgin, Boris L’vovich 1 Friedan, Daniel Harry 1 Friedlander, Leonid 1 Gajduk, A. V. 1 Glimm, James G. 1 Gray, Jeremy 1 Gromov, Mikhael Leonidovich 1 Gukov, Sergei 1 Khelemskiĭ, Aleksandr Yakovlevich 1 Hirsch, Morris W. 1 Il’yashenko, Yuliĭ Sergeevich 1 Kac, Victor 1 Kashin, Boris Sergeevich 1 Kesel’man, V. M. 1 Khor’kova, Nina Grigor’evna 1 Khovanskiĭ, Askold Georgievich 1 Khudaverdian, O. M. 1 Kissina, L. M. 1 Kosmann-Schwarzbach, Yvette 1 Kozlov, Valeriĭ Vasil’evich 1 Krasil’shchik, Iosif Semënovich 1 Krefl, Daniel 1 Krishchenko, Alexander P. 1 Kruzhilin, Nikolai Georgievich 1 La, HoSeong 1 Lychagin, Valentin V. 1 Mac Lane, Leslie Saunders 1 Mandelbrot, Benoit B. 1 Margulis, Grigoriĭ Aleksandrovich 1 Marvan, Michal 1 Maslov, Viktor Pavlovich 1 Mishchenko, Aleksandr Sergeevich 1 Mityagin, Boris Samuilovich 1 Nelson, Philip A. 1 Nemirovskiĭ, Stefan Yur’evich 1 Pioline, Boris 1 Pohst, Michael 1 Pokazeeva, R. S. 1 Polishchuk, Alexander Evgen’evich 1 Ramm, N. S. 1 Reshetnyak, Yuriĭ Grigor’evich 1 Rieffel, Marc A. 1 Roger, Claude 1 Rokhlin, Vladimir Abramovich 1 Rubtsov, Vladimir Nikolaevich 1 Ruelle, David Pierre 1 Samokhin, Alexey V. 1 Sen, Ashoke 1 Shiryaev, Al’bert Nikolaevich 1 Shubin, Mikhail Aleksandrovich ...and 19 more Co-Authors all top 5 Serials 23 Communications in Mathematical Physics 14 Letters in Mathematical Physics 13 Nuclear Physics. B 11 Soviet Mathematics. Doklady 7 Doklady Akademii Nauk SSSR 7 Journal of High Energy Physics 6 Theoretical and Mathematical Physics 4 Physics Letters. B 4 Russian Mathematical Surveys 3 Modern Physics Letters A 3 Uspekhi Matematicheskikh Nauk [N. S.] 3 Mathematical Research Letters 2 International Journal of Modern Physics A 2 Soviet Journal of Nuclear Physics 2 Teoreticheskaya i Matematicheskaya Fizika 2 Journal of Geometry and Physics 2 Functional Analysis and its Applications 2 Matematicheskiĭ Sbornik. Novaya Seriya 2 Soviet Physics. Doklady 2 Grundlehren der Mathematischen Wissenschaften 2 Translations. Series 2. American Mathematical Society 1 Journal of Mathematical Physics 1 Physics Reports 1 Soviet Scientific Reviews. Section C 1 Mathematics of Computation 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Journal of Soviet Mathematics 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Journal of Operator Theory 1 International Journal of Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Selecta Mathematica. New Series 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Doklady Akademii Nauk SSSR. Novaya Seriya 1 Pure and Applied Mathematics Quarterly 1 Journal of Fixed Point Theory and Applications all top 5 Fields 92 Quantum theory (81-XX) 51 Global analysis, analysis on manifolds (58-XX) 35 Differential geometry (53-XX) 18 Algebraic geometry (14-XX) 14 Relativity and gravitational theory (83-XX) 12 Functional analysis (46-XX) 11 Nonassociative rings and algebras (17-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Manifolds and cell complexes (57-XX) 7 Several complex variables and analytic spaces (32-XX) 6 Algebraic topology (55-XX) 5 Category theory; homological algebra (18-XX) 5 Operator theory (47-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Partial differential equations (35-XX) 4 Mechanics of particles and systems (70-XX) 3 Number theory (11-XX) 3 Associative rings and algebras (16-XX) 3 Topological groups, Lie groups (22-XX) 2 Combinatorics (05-XX) 2 Commutative algebra (13-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 \(K\)-theory (19-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 General topology (54-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 130 Publications have been cited 2,486 times in 1,860 Documents Cited by ▼ Year ▼ The geometry of the master equation and topological quantum field theory. Zbl 1073.81655 Alexandrov, M.; Schwarz, A.; Zaboronsky, O.; Kontsevich, M. 285 1997 Noncommutative geometry and matrix theory: Compactification on tori. Zbl 1018.81052 Connes, Alain; Douglas, Michael R.; Schwarz, Albert 230 1998 Instantons on noncommutative \(\mathbb{R}^4\), and \((2,0)\) superconformal six dimensional theory. Zbl 0923.58062 Nekrasov, Nikita; Schwarz, Albert 181 1998 Geometry of Batalin-Vilkovisky quantization. Zbl 0786.58017 Schwarz, Albert 155 1993 The partition function of degenerate quadratic functional and Ray-Singer invariants. Zbl 0383.70017 Schwarz, A. S. 126 1978 Khovanov-Rozansky homology and topological strings. Zbl 1105.57011 Gukov, Sergei; Schwarz, Albert; Vafa, Cumrun 100 2005 The partition function of a degenerate functional. Zbl 0429.58015 Schwarz, A. S. 71 1979 Introduction to M(atrix) theory and noncommutative geometry. Zbl 0985.81126 Konechny, Anatoly; Schwarz, Albert 63 2002 The genus of a fiber space. I, II. Zbl 0178.26202 Shvarts, A. S. 61 1962 A volume invariant of coverings. Zbl 0066.15903 Shvarts, A. S. 53 1955 Morita equivalence and duality. Zbl 1079.81066 Schwarz, Albert 49 1998 Semiclassical approximation in Batalin-Vilkovisky formalism. Zbl 0855.58005 Schwarz, Albert 45 1993 \(A_ \infty\) algebras and the cohomology of moduli spaces. Zbl 0863.17017 Penkava, Michael; Schwarz, Albert 39 1995 Morita equivalence of multidimensional noncommutative tori. Zbl 0968.46060 Rieffel, Marc A.; Schwarz, Albert 38 1999 Supersymmetry and localization. Zbl 0873.58003 Schwarz, Albert; Zaboronsky, Oleg 34 1997 Geometry of superconformal manifolds. Zbl 0675.58010 Rosly, A. A.; Schwarz, A. S.; Voronov, A. A. 34 1988 Categories of holomorphic vector bundles on noncommutative two-tori. Zbl 1033.58009 Polishchuk, A.; Schwarz, Albert 32 2003 On maximally supersymmetric Yang-Mills theories. Zbl 1044.81097 Movshev, Michael; Schwarz, Albert 31 2004 Supersymmetry in a space with auxiliary dimensions. Zbl 0615.58001 Roslij, A. A.; Shvarts, A. S. 28 1986 Supergravity, complex geometry and G-structures. Zbl 0503.53048 Schwarz, A. S. 28 1982 Instantons and fermions in the field of instanton. Zbl 0406.58032 Schwarz, A. S. 26 1979 A superanalog of the Selberg trace formula and multiloop contributions for fermionic strings. Zbl 0624.58033 Baranov, A. M.; Manin, Yu. I.; Frolov, I. V.; Schwarz, A. S. 25 1987 On solutions to the string equation. Zbl 1020.37579 Schwarz, Albert 25 1991 On the homotopy theory of functors in the category of topological spaces. Zbl 0126.18504 Fuks, D. B.; Shvarts, A. S. 25 1962 On symmetric gauge fields. Zbl 0361.53030 Schwarz, A. S. 23 1977 Integrality of instanton numbers and \(p\)-adic B-model. Zbl 1247.14058 Kontsevich, Maxim; Schwarz, Albert; Vologodsky, Vadim 22 2006 Functors in categories of Banach spaces. Zbl 0129.08205 Mityagin, B. S.; Shvarts, A. S. 22 1964 Homology of Lie algebra of supersymmetries and of super Poincaré Lie algebra. Zbl 1229.81117 Movshev, M. V.; Schwarz, A.; Xu, Renjun 22 2012 Sigma-models having supermanifolds as target spaces. Zbl 0859.58004 Schwarz, Albert 21 1996 Quantum field theory and topology. Translated from the Russian by Eugene Yankowsky and Silvio Levy. Zbl 0789.58004 Schwarz, Albert S. 20 1993 Algebraic structure of Yang-Mills theory. Zbl 1229.81281 Movshev, Michael; Schwarz, Albert 20 2006 A table of quintic number fields. Zbl 0822.11087 Schwarz, A.; Pohst, M.; Diaz y Diaz, Francisco 18 1994 On the definition of superspace. Zbl 0575.58005 Shvarts, A. S. 17 1984 Supermoduli spaces. Zbl 0715.32008 Dolgikh, S. N.; Rosly, A. A.; Schwarz, A. S. 17 1990 Refined Chern-Simons versus Vogel universality. Zbl 1283.58018 Krefl, Daniel; Schwarz, Albert 16 2013 Responses to “Theoretical mathematics: Toward a cultural synthesis of mathematics and theoretical physics”, by A. Jaffe and F. Quinn. Zbl 0803.01014 Atiyah, Michael; Borel, Armand; Chaitin, G. J.; Friedan, Daniel; Glimm, James; Gray, Jeremy J.; Hirsch, Morris W.; MacLane, Saunders; Mandelbrot, Benoit B.; Ruelle, David; Schwarz, Albert; Uhlenbeck, Karen; Thom, René; Witten, Edward; Zeeman, Christopher 15 1994 Morita equivalence and \(T\)-duality (or \(B\) versus \(\Theta\)). Zbl 1060.81612 Pioline, Boris; Schwarz, Albert 15 1999 On some algebraic structures arising in string theory. Zbl 0871.17021 Penkava, Michael; Schwarz, Albert 14 1994 Noncommutative instantons: A new approach. Zbl 0989.46040 Schwarz, Albert 14 2001 Supersymmetric deformations of maximally supersymmetric gauge theories. Zbl 1397.81390 Movshev, M. V.; Schwarz, A. 14 2012 On noncommutative Nahm transform. Zbl 1024.81046 Astashkevich, Alexander; Nekrasov, Nikita; Schwarz, Albert 13 2000 Quantum curves. Zbl 1318.81042 Schwarz, Albert 13 2015 Theta functions on noncommutative tori. Zbl 1032.53082 Schwarz, Albert 13 2001 The homotopic topology of Banach spaces. Zbl 0181.39904 Shvarts, A. S. 13 1964 Topological quantum field theories. Zbl 1043.81066 Schwarz, Albert 12 2001 Geometry of superconformal field theories in two dimensions. Zbl 0624.58002 Baranov, M. A.; Frolov, I. V.; Shvarts, A. S. 11 1987 Compactification of M(atrix) theory on noncommutative toroidal orbifolds. Zbl 1042.81580 Konechny, Anatoly; Schwarz, Albert 11 2000 The genus of fiber spaces. Zbl 0085.37703 Shvarts, A. S. 11 1958 Noncommutative supergeometry, duality and deformations. Zbl 1006.81083 Schwarz, Albert 10 2003 Noncommutative supergeometry and duality. Zbl 0967.58004 Schwarz, Albert 9 1999 Topology for physicists. Transl. from the Russian by Silvio Levy. Zbl 0858.55001 Schwarz, Albert S. 8 1994 Superconformal geometry and string theory. Zbl 0667.58008 Rosly, A. A.; Schwarz, A. S.; Voronov, A. A. 8 1989 The solution space of the unitary matrix model string equation and the Sato Grassmannian. Zbl 0753.35073 Anagnostopoulos, Konstantinos N.; Bowick, Mark J.; Schwarz, Albert 7 1992 Virasoro model space. Zbl 0741.58006 La, HoSeong; Nelson, Philip; Shvarts, A. S. 7 1990 BPS states on non-commutative tori and duality. Zbl 0949.58004 Konechny, Anatoly; Schwarz, Albert 7 1999 Matrix Vieta theorem revisited. Zbl 0874.15010 Connes, Alain; Schwarz, Albert 7 1997 Superanalogs of symplectic and contact geometry and their applications to quantum field theory. Zbl 0873.58004 Schwarz, Albert 7 1996 Integral invariants for supercanonical transformations. Zbl 0521.58054 Khudaverdian, O. M.; Schwarz, A. S.; Tyupkin, Yu. S. 7 1981 Geometry of \(N=1\) supergravity. II. Zbl 0644.53078 Rosly, A. A.; Schwarz, A. S. 7 1984 On some mathematical problems of \(2\)D-gravity and \(W_h\)-gravity. Zbl 1020.37578 Schwarz, Albert 7 1991 Symmetries of WDVV equations. Zbl 1276.81096 Chen, Yujun; Kontsevich, Maxim; Schwarz, Albert 7 2005 On quantum fluctuations of instantons. Zbl 0383.70016 Schwarz, A. S. 7 1978 A-model and generalized Chern-Simons theory. Zbl 1247.81441 Schwarz, Albert S. 7 2005 Die Homologien der Spinorgruppe. Zbl 0068.37002 Schwarz, A. S. 7 1955 Integrality theorems in the theory of topological strings. Zbl 1203.81155 Schwarz, Albert; Vologodsky, Vadim 7 2009 Quantum observables, Lie algebra homology and TQFT. Zbl 1029.81064 Schwarz, Albert 6 1999 Matrix Vieta theorem. Zbl 0837.15011 Fuchs, Dmitry; Schwarz, Albert 6 1995 Grassmannian and string theory. Zbl 0921.58078 Schwarz, Albert 6 1998 Integration over surfaces in superspace. Zbl 0513.58015 Gajduk, A. V.; Khudaverdyan, O. M.; Shvarts, A. S. 6 1982 Theory of \((k\oplus l\mid q)\)-dimensional supermanifolds. Zbl 1001.58001 Konechny, Anatoly; Schwarz, Albert 6 2000 Eine neue Definition der uniformen Räume. Die Metrisierung von Nachbarschaftsräumen. Zbl 0050.17001 Efremovich, V. A.; Shvarts, A. S. 6 1953 Generalized Chern-Simons action and maximally supersymmetric gauge theories. Zbl 1356.81200 Movshev, M. V.; Schwarz, A. 6 2015 Integral invariants in flat superspace. Zbl 1323.81093 Xu, Renjun; Movshev, Michael; Schwarz, Albert 5 2014 Supersymmetry algebra and BPS states of super Yang-Mills theories on noncommutative tori. Zbl 1058.58500 Konechny, Anatoly; Schwarz, Albert 5 1999 Moduli spaces of maximally supersymmetric solutions on non-commutative tori and non-commutative orbifolds. Zbl 0989.81623 Konechny, Anatoly; Schwarz, Albert 5 2000 Frobenius transformation, mirror map and instanton numbers. Zbl 1246.14053 Schwarz, Albert; Vologodsky, Vadim 5 2008 Geometrie der Nachbarschaft, uniforme Geometrie und Topologie. Zbl 0050.39101 Ramm, N. S.; Shvarts, A. S. 5 1953 Einige Abschätzungen des Geschlechts eines topologischen Raumes im Sinne von Krasnosel’skij. Zbl 0078.36402 Shvarts, A. S. 5 1957 Projective modules over non-commutative tori: classification of modules with constant curvature connection. Zbl 0996.46031 Astashkevich, Alexander; Schwarz, Albert 5 2001 Symmetry transformations in Batalin-Vilkovisky formalism. Zbl 0802.58027 Schwarz, Albert 4 1994 Gluing theorem, star product and integration in open string field theory in arbitrary background fields. Zbl 0802.53032 Schwarz, A. S.; Sen, Ashoke 4 1991 On \((k\oplus l|g)\)-dimensional supermanifolds. Zbl 0937.58001 Konechny, A.; Schwarz, A. 4 1998 Geometry of \(N=1\) supergravity. Zbl 0644.53077 Rosly, A. A.; Schwarz, A. S. 4 1984 Cohomology of supermanifolds. Zbl 0555.58030 Baranov, M. A.; Shvarts, A. S. 4 1984 Duality of functors. Zbl 0168.26803 Shvarts, A. S. 4 1963 The combinatorial invariance of Pontrjagin classes. Zbl 0078.36803 Rokhlin, V. A.; Shvarts, A. S. 4 1957 Families of gauge conditions in BV formalism. Zbl 1380.81371 Mikhailov, Andrei; Schwarz, Albert 4 2017 Framing the di-logarithm (over \(\mathbb Z\)). Zbl 1356.81196 Schwarz, Albert; Vologodsky, Vadim; Walcher, Johannes 4 2015 Axiomatic conformal theory in dimensions \(>2\) and AdS/CT correspondence. Zbl 1347.81058 Schwarz, Albert 4 2016 Twisted de Rham cohomology, homological definition of the integral and “physics over a ring”. Zbl 1192.81311 Schwarz, Albert S.; Shapiro, Ilya 4 2009 On axiomatic scattering theory. Zbl 0274.47006 Fateev, V. A.; Shvarts, A. S. 3 1974 Quantum field theory and topology. (Kvantovaya teoriya polya i topologiya.) Zbl 0682.58001 Shvarts, A. S. 3 1989 Supergeometry and arithmetic geometry. Zbl 1215.14016 Schwarz, Albert S.; Shapiro, Ilya 3 2006 \(p\) -adic superspaces and Frobenius. Zbl 1202.14017 Schwarz, Albert; Shapiro, Ilya 3 2008 Space and time from translation symmetry. Zbl 1245.81070 Schwarz, Albert S. 3 2010 Moduli spaces and Grassmannian. Zbl 1276.14016 Liou, Jia-Ming (Frank); Schwarz, Albert S. 3 2013 Supergrassmannians, super \(\tau\)-functions and strings. Zbl 0737.58056 Dolgikh, S. N.; Schwarz, A. S. 2 1990 \(1/4\)-BPS states on noncommutative tori. Zbl 0957.81086 Konechny, Anatoly; Schwarz, Albert 2 1999 Elliptic operators in quantum field theory. Zbl 0509.35071 Shvarts, A. S. 2 1983 Functors in the category of vector spaces. Zbl 0249.18012 Kuznetsov, V. V.; Shvarts, A. S. 2 1971 Inclusive scattering matrix and scattering of quasiparticles. Zbl 1484.82027 Schwarz, A. 2 2020 Mathematical foundations of quantum field theory. Zbl 1486.81001 Schwarz, Albert 2 2020 Geometric approach to quantum theory. Zbl 1436.81018 Schwarz, Albert 1 2020 Quantum deformation of planar amplitudes. Zbl 1390.81613 Movshev, M.; Schwarz, A. 1 2018 Families of gauge conditions in BV formalism. Zbl 1380.81371 Mikhailov, Andrei; Schwarz, Albert 4 2017 Weierstrass cycles in moduli spaces and the Krichever map. Zbl 1393.14022 Liou, Jia-Ming (Frank); Schwarz, Albert 2 2017 Axiomatic conformal theory in dimensions \(>2\) and AdS/CT correspondence. Zbl 1347.81058 Schwarz, Albert 4 2016 Fourier duality of quantum curves. Zbl 1354.81040 Luu, Martin T.; Schwarz, Albert 2 2016 Quantum curves. Zbl 1318.81042 Schwarz, Albert 13 2015 Generalized Chern-Simons action and maximally supersymmetric gauge theories. Zbl 1356.81200 Movshev, M. V.; Schwarz, A. 6 2015 Framing the di-logarithm (over \(\mathbb Z\)). Zbl 1356.81196 Schwarz, Albert; Vologodsky, Vadim; Walcher, Johannes 4 2015 Integral invariants in flat superspace. Zbl 1323.81093 Xu, Renjun; Movshev, Michael; Schwarz, Albert 5 2014 Refined Chern-Simons versus Vogel universality. Zbl 1283.58018 Krefl, Daniel; Schwarz, Albert 16 2013 Moduli spaces and Grassmannian. Zbl 1276.14016 Liou, Jia-Ming (Frank); Schwarz, Albert S. 3 2013 Cohomology ring of the brst operator associated to the sum of two pure spinors. Zbl 1279.81052 Mikhailov, Andrei; Schwarz, Albert; Xu, Renjun 2 2013 Homology of Lie algebra of supersymmetries and of super Poincaré Lie algebra. Zbl 1229.81117 Movshev, M. V.; Schwarz, A.; Xu, Renjun 22 2012 Supersymmetric deformations of maximally supersymmetric gauge theories. Zbl 1397.81390 Movshev, M. V.; Schwarz, A. 14 2012 Equivariant cohomology of infinite-dimensional Grassmannian and shifted Schur functions. Zbl 1300.14025 Liou, Jia-Ming (Frank); Schwarz, Albert 1 2012 Space and time from translation symmetry. Zbl 1245.81070 Schwarz, Albert S. 3 2010 Integrality theorems in the theory of topological strings. Zbl 1203.81155 Schwarz, Albert; Vologodsky, Vadim 7 2009 Twisted de Rham cohomology, homological definition of the integral and “physics over a ring”. Zbl 1192.81311 Schwarz, Albert S.; Shapiro, Ilya 4 2009 Frobenius transformation, mirror map and instanton numbers. Zbl 1246.14053 Schwarz, Albert; Vologodsky, Vadim 5 2008 \(p\) -adic superspaces and Frobenius. Zbl 1202.14017 Schwarz, Albert; Shapiro, Ilya 3 2008 Integrality of instanton numbers and \(p\)-adic B-model. Zbl 1247.14058 Kontsevich, Maxim; Schwarz, Albert; Vologodsky, Vadim 22 2006 Algebraic structure of Yang-Mills theory. Zbl 1229.81281 Movshev, Michael; Schwarz, Albert 20 2006 Supergeometry and arithmetic geometry. Zbl 1215.14016 Schwarz, Albert S.; Shapiro, Ilya 3 2006 Khovanov-Rozansky homology and topological strings. Zbl 1105.57011 Gukov, Sergei; Schwarz, Albert; Vafa, Cumrun 100 2005 Symmetries of WDVV equations. Zbl 1276.81096 Chen, Yujun; Kontsevich, Maxim; Schwarz, Albert 7 2005 A-model and generalized Chern-Simons theory. Zbl 1247.81441 Schwarz, Albert S. 7 2005 Some remarks on Gopakumar-Vafa invariants. Zbl 1130.14300 Schwarz, Albert S.; Shapiro, Ilya 2 2005 Foreword [to the Memorial volume for F. A. Berezin]. Zbl 1146.00304 Kontsevich, Maxim; Nekrasov, Nikita; Schwarz, Albert; Shubin, Mikhail; Sternheimer, Daniel 1 2005 On maximally supersymmetric Yang-Mills theories. Zbl 1044.81097 Movshev, Michael; Schwarz, Albert 31 2004 Categories of holomorphic vector bundles on noncommutative two-tori. Zbl 1033.58009 Polishchuk, A.; Schwarz, Albert 32 2003 Noncommutative supergeometry, duality and deformations. Zbl 1006.81083 Schwarz, Albert 10 2003 Introduction to M(atrix) theory and noncommutative geometry. Zbl 0985.81126 Konechny, Anatoly; Schwarz, Albert 63 2002 Gauge theories on noncommutative Euclidean spaces. Zbl 1026.81062 Schwarz, Albert 1 2002 Noncommutative instantons: A new approach. Zbl 0989.46040 Schwarz, Albert 14 2001 Theta functions on noncommutative tori. Zbl 1032.53082 Schwarz, Albert 13 2001 Topological quantum field theories. Zbl 1043.81066 Schwarz, Albert 12 2001 Projective modules over non-commutative tori: classification of modules with constant curvature connection. Zbl 0996.46031 Astashkevich, Alexander; Schwarz, Albert 5 2001 Gauge theories on noncommutative spaces. Zbl 1031.81064 Schwarz, Albert 1 2001 On noncommutative Nahm transform. Zbl 1024.81046 Astashkevich, Alexander; Nekrasov, Nikita; Schwarz, Albert 13 2000 Compactification of M(atrix) theory on noncommutative toroidal orbifolds. Zbl 1042.81580 Konechny, Anatoly; Schwarz, Albert 11 2000 Theory of \((k\oplus l\mid q)\)-dimensional supermanifolds. Zbl 1001.58001 Konechny, Anatoly; Schwarz, Albert 6 2000 Moduli spaces of maximally supersymmetric solutions on non-commutative tori and non-commutative orbifolds. Zbl 0989.81623 Konechny, Anatoly; Schwarz, Albert 5 2000 Noncommutative algebraic equations and the noncommutative eigenvalue problem. Zbl 0972.15001 Schwarz, Albert 2 2000 Morita equivalence of multidimensional noncommutative tori. Zbl 0968.46060 Rieffel, Marc A.; Schwarz, Albert 38 1999 Morita equivalence and \(T\)-duality (or \(B\) versus \(\Theta\)). Zbl 1060.81612 Pioline, Boris; Schwarz, Albert 15 1999 Noncommutative supergeometry and duality. Zbl 0967.58004 Schwarz, Albert 9 1999 BPS states on non-commutative tori and duality. Zbl 0949.58004 Konechny, Anatoly; Schwarz, Albert 7 1999 Quantum observables, Lie algebra homology and TQFT. Zbl 1029.81064 Schwarz, Albert 6 1999 Supersymmetry algebra and BPS states of super Yang-Mills theories on noncommutative tori. Zbl 1058.58500 Konechny, Anatoly; Schwarz, Albert 5 1999 \(1/4\)-BPS states on noncommutative tori. Zbl 0957.81086 Konechny, Anatoly; Schwarz, Albert 2 1999 Appendix: Personal notes. Zbl 0960.01012 Schwarz, Albert; Sossinsky, Alexei; Roger, Claude; Feigin, Boris; Tabachnikov, Sergei; Astashkevich, Alexander 1 1999 Discrete Lagrangian systems on graphs. Symplectic-topological properties. Zbl 0952.37011 Novikov, S. P.; Shvarts, A. S. 1 1999 Noncommutative geometry and matrix theory: Compactification on tori. Zbl 1018.81052 Connes, Alain; Douglas, Michael R.; Schwarz, Albert 230 1998 Instantons on noncommutative \(\mathbb{R}^4\), and \((2,0)\) superconformal six dimensional theory. Zbl 0923.58062 Nekrasov, Nikita; Schwarz, Albert 181 1998 Morita equivalence and duality. Zbl 1079.81066 Schwarz, Albert 49 1998 Grassmannian and string theory. Zbl 0921.58078 Schwarz, Albert 6 1998 On \((k\oplus l|g)\)-dimensional supermanifolds. Zbl 0937.58001 Konechny, A.; Schwarz, A. 4 1998 The geometry of the master equation and topological quantum field theory. Zbl 1073.81655 Alexandrov, M.; Schwarz, A.; Zaboronsky, O.; Kontsevich, M. 285 1997 Supersymmetry and localization. Zbl 0873.58003 Schwarz, Albert; Zaboronsky, Oleg 34 1997 Matrix Vieta theorem revisited. Zbl 0874.15010 Connes, Alain; Schwarz, Albert 7 1997 Sigma-models having supermanifolds as target spaces. Zbl 0859.58004 Schwarz, Albert 21 1996 Superanalogs of symplectic and contact geometry and their applications to quantum field theory. Zbl 0873.58004 Schwarz, Albert 7 1996 \(A_ \infty\) algebras and the cohomology of moduli spaces. Zbl 0863.17017 Penkava, Michael; Schwarz, Albert 39 1995 Matrix Vieta theorem. Zbl 0837.15011 Fuchs, Dmitry; Schwarz, Albert 6 1995 A table of quintic number fields. Zbl 0822.11087 Schwarz, A.; Pohst, M.; Diaz y Diaz, Francisco 18 1994 Responses to “Theoretical mathematics: Toward a cultural synthesis of mathematics and theoretical physics”, by A. Jaffe and F. Quinn. Zbl 0803.01014 Atiyah, Michael; Borel, Armand; Chaitin, G. J.; Friedan, Daniel; Glimm, James; Gray, Jeremy J.; Hirsch, Morris W.; MacLane, Saunders; Mandelbrot, Benoit B.; Ruelle, David; Schwarz, Albert; Uhlenbeck, Karen; Thom, René; Witten, Edward; Zeeman, Christopher 15 1994 On some algebraic structures arising in string theory. Zbl 0871.17021 Penkava, Michael; Schwarz, Albert 14 1994 Topology for physicists. Transl. from the Russian by Silvio Levy. Zbl 0858.55001 Schwarz, Albert S. 8 1994 Symmetry transformations in Batalin-Vilkovisky formalism. Zbl 0802.58027 Schwarz, Albert 4 1994 Geometry of Batalin-Vilkovisky quantization. Zbl 0786.58017 Schwarz, Albert 155 1993 Semiclassical approximation in Batalin-Vilkovisky formalism. Zbl 0855.58005 Schwarz, Albert 45 1993 Quantum field theory and topology. Translated from the Russian by Eugene Yankowsky and Silvio Levy. Zbl 0789.58004 Schwarz, Albert S. 20 1993 The solution space of the unitary matrix model string equation and the Sato Grassmannian. Zbl 0753.35073 Anagnostopoulos, Konstantinos N.; Bowick, Mark J.; Schwarz, Albert 7 1992 On solutions to the string equation. Zbl 1020.37579 Schwarz, Albert 25 1991 On some mathematical problems of \(2\)D-gravity and \(W_h\)-gravity. Zbl 1020.37578 Schwarz, Albert 7 1991 Gluing theorem, star product and integration in open string field theory in arbitrary background fields. Zbl 0802.53032 Schwarz, A. S.; Sen, Ashoke 4 1991 Geometry of fermionic string. Zbl 0751.53024 Schwarz, Albert 1 1991 Supermoduli spaces. Zbl 0715.32008 Dolgikh, S. N.; Rosly, A. A.; Schwarz, A. S. 17 1990 Virasoro model space. Zbl 0741.58006 La, HoSeong; Nelson, Philip; Shvarts, A. S. 7 1990 Supergrassmannians, super \(\tau\)-functions and strings. Zbl 0737.58056 Dolgikh, S. N.; Schwarz, A. S. 2 1990 Superconformal geometry and string theory. Zbl 0667.58008 Rosly, A. A.; Schwarz, A. S.; Voronov, A. A. 8 1989 Quantum field theory and topology. (Kvantovaya teoriya polya i topologiya.) Zbl 0682.58001 Shvarts, A. S. 3 1989 Geometry of the superconformal moduli space. Zbl 0694.53060 Baranov, M. A.; Frolov, I. V.; Shvarts, A. S. 1 1989 Geometry of superconformal manifolds. Zbl 0675.58010 Rosly, A. A.; Schwarz, A. S.; Voronov, A. A. 34 1988 A superanalog of the Selberg trace formula and multiloop contributions for fermionic strings. Zbl 0624.58033 Baranov, A. M.; Manin, Yu. I.; Frolov, I. V.; Schwarz, A. S. 25 1987 Geometry of superconformal field theories in two dimensions. Zbl 0624.58002 Baranov, M. A.; Frolov, I. V.; Shvarts, A. S. 11 1987 Supersymmetry in a space with auxiliary dimensions. Zbl 0615.58001 Roslij, A. A.; Shvarts, A. S. 28 1986 On the definition of superspace. Zbl 0575.58005 Shvarts, A. S. 17 1984 Geometry of \(N=1\) supergravity. II. Zbl 0644.53078 Rosly, A. A.; Schwarz, A. S. 7 1984 Geometry of \(N=1\) supergravity. Zbl 0644.53077 Rosly, A. A.; Schwarz, A. S. 4 1984 Cohomology of supermanifolds. Zbl 0555.58030 Baranov, M. A.; Shvarts, A. S. 4 1984 Characteristic classes of supergauge fields. Zbl 0573.53020 Baranov, M. A.; Shvarts, A. S. 1 1984 Elliptic operators in quantum field theory. Zbl 0509.35071 Shvarts, A. S. 2 1983 Supergravity, complex geometry and G-structures. Zbl 0503.53048 Schwarz, A. S. 28 1982 Integration over surfaces in superspace. Zbl 0513.58015 Gajduk, A. V.; Khudaverdyan, O. M.; Shvarts, A. S. 6 1982 Integral invariants for supercanonical transformations. Zbl 0521.58054 Khudaverdian, O. M.; Schwarz, A. S.; Tyupkin, Yu. S. 7 1981 Quantum fluctuations of instantons. Zbl 0535.58026 Fateev, V. A.; Frolov, I. V.; Schwarz, A. S.; Tyupkin, Yu. S. 1 1981 ...and 30 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,005 Authors 49 Schwarz, Albert S. 29 Cattaneo, Alberto Sergio 24 Morozov, Alexei Yurievich 23 Szabo, Richard J. 18 Sharapov, Alexey A. 17 Grigoriev, Maxim 15 Gukov, Sergei 15 Witten, Edward 14 Nekrasov, Nikita Alexandrovich 14 Skvortsov, Evgeny D. 13 Mnëv, Pavel 13 Sämann, Christian 12 Bruce, Andrew James 12 Ikeda, Noriaki 12 Mironov, Andrei D. 12 Sundell, Per Anders 12 Zucchini, Roberto 11 Howe, Paul S. 11 Jurčo, Branislav 11 Kuzenko, Sergei M. 11 Lechtenfeld, Olaf 11 Mkrtchyan, Ruben L. 11 Sen, Ashoke 11 Voronov, Theodore 11 Yang, Hyun Seok 10 Batalin, Igor A. 10 Sako, Akifumi 9 Ivanova, Tatiana A. 9 Kajiura, Hiroshige 9 Kim, Hoil 9 Latrémolière, Frédéric 9 Malik, Rudra Prakash 9 Morozov, Andreĭ Alekseevich 9 Moshayedi, Nima 9 Popov, Alexander D. 9 Saberi, Ingmar A. 9 Wernli, Konstantin 9 Zabzine, Maxim 8 Chatzistavrakidis, Athanasios 8 Dimofte, Tudor Dan 8 Mikhailov, Andrei Yu. 8 Nakajima, Hiroaki 8 Schiavina, Michele 8 Sułkowski, Piotr 8 Zwiebach, Barton 7 Alexandrov, Alexander Sergeevich 7 Bonechi, Francesco 7 Cederwall, Martin 7 Ganor, Ori J. 7 Grant, Mark 7 Jonke, Larisa 7 Kitazawa, Yoshihisa 7 Lindström, Ulf 7 Oprea, John F. 7 Pestov, Vladimir G. 7 Strobl, Thomas 7 Thuillier, Frank 7 Vafa, Cumrun 7 Wolf, Martin 6 Aschieri, Paolo 6 Barnich, Glenn 6 Blau, Matthias 6 García-Compeán, Hugo 6 Grabowski, Janusz 6 Grassi, Pietro Antonio 6 Hamilton, Alastair 6 Konechny, Anatoly 6 Krefl, Daniel 6 Lavrov, Petr M. 6 Luu, Martin T. 6 Lyakhovich, Simon L. 6 Manabe, Masahide 6 Morariu, Bogdan 6 Noja, Simone 6 Polishchuk, Alexander Evgen’evich 6 Rabin, Jeffrey M. 6 Ramadevi, Pichai 6 Rivasseau, Vincent 6 Rosly, A. A. 6 Száz, Árpád 6 Vandembroucq, Lucile 6 Voronov, Alexander A. 6 Watamura, Satoshi 6 Xu, Ping 6 Zeitlin, Anton M. 5 Avetisyan, Maneh Y. 5 Bering, Klaus 5 Bonezzi, Roberto 5 Bruzzo, Ugo 5 Bytsenko, Andrei A. 5 Cherkis, Sergey A. 5 Chu, Chongsun 5 Elliott, Chris 5 Farber, Michael S. 5 García del Moral, María Pilar 5 Guadagnini, Enore 5 Hamanaka, Masashi 5 Hohm, Olaf 5 Itoyama, Hiroshi 5 Jaskólski, Zbigniew ...and 1,905 more Authors all top 5 Cited in 215 Serials 295 Journal of High Energy Physics 208 Nuclear Physics. B 152 Communications in Mathematical Physics 107 Journal of Mathematical Physics 103 Journal of Geometry and Physics 83 Physics Letters. 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New Series ...and 115 more Serials all top 5 Cited in 58 Fields 1,163 Quantum theory (81-XX) 406 Global analysis, analysis on manifolds (58-XX) 351 Differential geometry (53-XX) 277 Relativity and gravitational theory (83-XX) 253 Algebraic geometry (14-XX) 195 Manifolds and cell complexes (57-XX) 173 Nonassociative rings and algebras (17-XX) 131 Functional analysis (46-XX) 127 Algebraic topology (55-XX) 88 Dynamical systems and ergodic theory (37-XX) 80 Several complex variables and analytic spaces (32-XX) 77 Associative rings and algebras (16-XX) 76 Category theory; homological algebra (18-XX) 66 Group theory and generalizations (20-XX) 63 Mechanics of particles and systems (70-XX) 61 Partial differential equations (35-XX) 50 Number theory (11-XX) 42 Topological groups, Lie groups (22-XX) 35 Operator theory (47-XX) 31 Statistical mechanics, structure of matter (82-XX) 26 General topology (54-XX) 22 Combinatorics (05-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 20 Computer science (68-XX) 18 General and overarching topics; collections (00-XX) 17 Functions of a complex variable (30-XX) 12 Ordinary differential equations (34-XX) 11 Commutative algebra (13-XX) 11 Special functions (33-XX) 10 \(K\)-theory (19-XX) 10 Convex and discrete geometry (52-XX) 10 Probability theory and stochastic processes (60-XX) 9 History and biography (01-XX) 8 Geometry (51-XX) 6 Mathematical logic and foundations (03-XX) 6 Measure and integration (28-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Optics, electromagnetic theory (78-XX) 4 Potential theory (31-XX) 4 Difference and functional equations (39-XX) 4 Abstract harmonic analysis (43-XX) 4 Statistics (62-XX) 4 Numerical analysis (65-XX) 4 Astronomy and astrophysics (85-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 General algebraic systems (08-XX) 3 Field theory and polynomials (12-XX) 3 Information and communication theory, circuits (94-XX) 2 Real functions (26-XX) 2 Sequences, series, summability (40-XX) 2 Approximations and expansions (41-XX) 2 Fluid mechanics (76-XX) 1 Integral transforms, operational calculus (44-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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