Edit Profile (opens in new tab) Kapranov, Mikhail M. Co-Author Distance Author ID: kapranov.mikhail-m Published as: Kapranov, M. M.; Kapranov, Mikhail; Kapranov, M.; Kapranov, Mikhail M. more...less Homepage: http://users.math.yale.edu/~mk486/ External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 124 Publications since 1983, including 3 Books and 17 Additional arXiv Preprints 2 Contributions as Editor · 1 Further Contribution Co-Authors: 39 Co-Authors with 86 Joint Publications 1,441 Co-Co-Authors all top 5 Co-Authors 38 single-authored 16 Zelevinskiĭ, Andreĭ V. 15 Gel’fand, Israil’ Moiseevich 14 Schechtman, Vadim 13 Vasserot, Eric 6 Dyckerhoff, Tobias 6 Voevodskiĭ, Vladimir Aleksandrovich 5 Bondal, Alexey I. 5 Ginzburg, Victor 4 Manin, Yuriĭ Ivanovich 4 Soibelman, Yan S. 3 Ciocan-Fontanine, Ionuţ 3 Getzler, Ezra 3 Sturmfels, Bernd 2 Dolgachev, Igor’ Vladimirovich 2 Finkelberg, Michael Vladlenovich 2 Ganter, Nora 2 Hennion, Benjamin 2 Kolyada, Sergiǐ Fedorovych 2 Moree, Pieter 2 Potyagailo, Leonid 2 Schiffmann, Olivier G. 1 Arkhipov, Sergey M. 1 Beilinson, Alexander A. 1 Berenstein, Arkady 1 Bernstein, Joseph 1 Bezrukavnikov, Roman 1 Billera, Louis J. 1 Bressler, Paul 1 Einsiedler, Manfred Leopold 1 Etingof, Pavel Il’ich 1 Faonte, Giovanni 1 Feĭgin, Boris L’vovich 1 Fomin, Sergey Vladimirovich 1 Franecki, J. 1 Kazhdan, David 1 Kontsevich, Maxim 1 Lind, Douglas A. 1 Merkur’ev, Aleksandr Sergeevich 1 Orlov, Dmitri O. 1 Panin, Ivan A. 1 Penner, Robert C. 1 Quillen, Daniel Gray 1 Routis, Evangelos 1 Saito, Masahico 1 Shabat, Georgiĭ Borisovich 1 Soukhanov, Lev 1 Suslin, Andreĭ Aleksandrovich 1 Tsygan, Boris 1 Tyurin, Nikolaĭ Andreevich 1 Vishik, Alexander 1 Weyman, Jerzy M. all top 5 Serials 10 Advances in Mathematics 9 Functional Analysis and its Applications 5 Duke Mathematical Journal 4 Mathematische Annalen 4 Mathematics of the USSR. Izvestiya 4 Soviet Mathematics. Doklady 3 Russian Mathematical Surveys 3 Journal of Pure and Applied Algebra 3 Journal of the American Mathematical Society 3 Selecta Mathematica. New Series 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Cahiers de Topologie et Géométrie Différentielle Catégoriques 2 Compositio Mathematica 2 Journal für die Reine und Angewandte Mathematik 2 Transformation Groups 2 Journal of the European Mathematical Society (JEMS) 2 Pure and Applied Mathematics Quarterly 2 Lecture Notes in Mathematics 1 American Journal of Mathematics 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Journal of Algebra 1 Journal of Number Theory 1 Proceedings of the American Mathematical Society 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Leningrad Mathematical Journal 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Mathematics of the USSR, Sbornik 1 Matematicheskiĭ Sbornik 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Algebraic Geometry 1 Journal of Mathematical Sciences (New York) 1 Mathematical Research Letters 1 Documenta Mathematica 1 Geometry & Topology 1 Annals of Mathematics. Second Series 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Contemporary Mathematics 1 Progress in Mathematics 1 Journal of Noncommutative Geometry 1 Japanese Journal of Mathematics. 3rd Series 1 Forum of Mathematics, Sigma 1 Modern Birkhäuser Classics all top 5 Fields 75 Algebraic geometry (14-XX) 39 Category theory; homological algebra (18-XX) 21 Nonassociative rings and algebras (17-XX) 17 Several complex variables and analytic spaces (32-XX) 14 Algebraic topology (55-XX) 11 Group theory and generalizations (20-XX) 9 Number theory (11-XX) 9 Associative rings and algebras (16-XX) 9 \(K\)-theory (19-XX) 9 Convex and discrete geometry (52-XX) 8 Topological groups, Lie groups (22-XX) 8 Special functions (33-XX) 8 Global analysis, analysis on manifolds (58-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Quantum theory (81-XX) 5 Differential geometry (53-XX) 5 Manifolds and cell complexes (57-XX) 4 History and biography (01-XX) 4 Commutative algebra (13-XX) 3 Combinatorics (05-XX) 3 Abstract harmonic analysis (43-XX) 2 General and overarching topics; collections (00-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 General algebraic systems (08-XX) 2 Partial differential equations (35-XX) 1 Field theory and polynomials (12-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 99 Publications have been cited 4,016 times in 3,237 Documents Cited by ▼ Year ▼ Discriminants, resultants, and multidimensional determinants. Zbl 0827.14036 Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 868 1994 Koszul duality for operads. Zbl 0855.18006 Ginzburg, Victor; Kapranov, Mikhail 299 1994 Representable functors, Serre functors, and mutations. Zbl 0703.14011 Bondal, A. I.; Kapranov, M. M. 169 1990 Discriminants, resultants, and multidimensional determinants. Reprint of the 1994 edition. Zbl 1138.14001 Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 155 2008 On the derived categories of coherent sheaves on some homogeneous spaces. Zbl 0651.18008 Kapranov, M. M. 130 1988 Chow quotients of Grassmannians. I. Zbl 0811.14043 Kapranov, M. M. 121 1993 Non-archimedean amoebas and tropical varieties. Zbl 1115.14051 Einsiedler, Manfred; Kapranov, Mikhail; Lind, Douglas 116 2006 Generalized Euler integrals and \(A\)-hypergeometric functions. Zbl 0741.33011 Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 114 1990 2-categories and Zamolodchikov tetrahedra equations. Zbl 0809.18006 Kapranov, M. M.; Voevodsky, V. A. 114 1994 Hypergeometric functions and toric varieties. (Hypergeometric functions and toral manifolds.) Zbl 0721.33006 Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 100 1989 Enhanced triangulated categories. Zbl 0729.18008 Bondal, A. I.; Kapranov, M. M. 98 1991 Modular operads. Zbl 0894.18005 Getzler, E.; Kapranov, M. M. 94 1998 Cyclic operads and cyclic homology. Zbl 0883.18013 Getzler, E.; Kapranov, M. M. 85 1995 Rozansky-Witten invariants via Atiyah classes. Zbl 0993.53026 Kapranov, M. 73 1999 Langlands reciprocity for algebraic surfaces. Zbl 0914.11040 Ginzburg, Victor; Kapranov, Mikhail; Vasserot, Eric 66 1995 Kleinian singularities, derived categories and Hall algebras. Zbl 0997.14001 Kapranov, M.; Vasserot, E. 60 2000 Veronese curves and Grothendieck-Knudsen moduli space \(\overline{M_{0,n}}\). Zbl 0790.14020 Kapranov, M. M. 59 1993 The permutoassociahedron, Mac Lane’s coherence theorem and asymptotic zones for the KZ equation. Zbl 0812.18003 Kapranov, Mikhail M. 55 1993 Higher Segal spaces. Zbl 1459.18001 Dyckerhoff, Tobias; Kapranov, Mikhail 52 2019 Equipped triangulated categories. Zbl 0719.18005 Bondal, A. I.; Kapranov, M. M. 51 1990 Eisenstein series and quantum affine algebras. Zbl 0929.11015 Kapranov, M. M. 50 1997 Chow polytopes and general resultants. Zbl 0780.14027 Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V. 50 1992 Derived Quot schemes. Zbl 1050.14042 Ciocan-Fontanine, Ionuţ; Kapranov, Mikhail 43 2001 Arrangements of hyperplanes and vector bundles on \(\mathbb{P}^ n\). Zbl 0804.14007 Dolgachev, I.; Kapranov, M. 42 1993 Virtual fundamental classes via dg-manifolds. Zbl 1159.14002 Ciocan-Fontanine, Ionuţ; Kapranov, Mikhail 39 2009 Braided monoidal 2-categories and Manin-Schechtman higher braid groups. Zbl 0791.18010 Kapranov, M.; Voevodsky, V. 37 1994 A characterization of A-discriminantal hypersurfaces in terms of logarithmic Gauss map. Zbl 0714.14031 Kapranov, M. M. 36 1991 Heisenberg doubles and derived categories. Zbl 0910.18005 Kapranov, M. 35 1998 Quotients of toric varieties. Zbl 0762.14023 Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V. 35 1991 Cellular strings on polytopes. Zbl 0812.52007 Billera, Louis J.; Kapranov, M. M.; Sturmfels, Bernd 35 1994 Representation and character theory in 2-categories. Zbl 1136.18001 Ganter, Nora; Kapranov, Mikhail 33 2008 Combinatorial-geometric aspects of polycategory theory: Pasting schemes and higher Bruhat orders (list of results). Zbl 0748.18010 Kapranov, M. M.; Voevodskij, V. A. 32 1991 Modules and Morita theorem for operads. Zbl 1001.18004 Kapranov, M.; Manin, Yu. 31 2001 Perverse schobers and birational geometry. Zbl 1436.14037 Bondal, Alexey; Kapranov, Mikhail; Schechtman, Vadim 29 2018 On the derived category of coherent sheaves on Grassmann manifolds. Zbl 0564.14023 Kapranov, M. M. 28 1985 Noncommutative geometry based on conductor expansions. Zbl 0918.14001 Kapranov, M. 28 1998 Hyperdeterminants. Zbl 0774.15002 Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 28 1992 Vertex algebras and the formal loop space. Zbl 1106.17038 Kapranov, Mikhail; Vasserot, Eric 25 2004 Triangulated surfaces in triangulated categories. Zbl 1403.18011 Dyckerhoff, Tobias; Kapranov, Mikhail 25 2018 Free \(n\)-category generated by a cube, oriented matroids, and higher Bruhat orders. Zbl 0766.20005 Voevodskij, V. A.; Kapranov, M. M. 24 1991 The Gauss map and a noncompact Riemann-Roch formula for constructible sheaves on semiabelian varieties. Zbl 1021.14016 Franecki, J.; Kapranov, M. 23 2000 Perverse sheaves over real hyperplane arrangements. Zbl 1360.14062 Kapranov, Mikhail; Schechtman, Vadim 22 2016 Free Lie algebroids and the space of paths. Zbl 1149.14003 Kapranov, Mikhail 21 2007 Derived Hilbert schemes. Zbl 1074.14003 Ciocan-Fontanine, Ionut; Kapranov, Mikhail M. 20 2002 Newton polytopes of the classical resultant and discriminant. Zbl 0721.33002 Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 18 1990 Discriminants of polynomials in several variables and triangulations of Newton polyhedra. Zbl 0741.14033 Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 17 1990 Residue construction of Hecke algebras. Zbl 0884.22010 Ginzburg, Victor; Kapranov, Mikhail; Vasserot, Eric 17 1997 Crossed simplicial groups and structured surfaces. Zbl 1373.18015 Dyckerhoff, T.; Kapranov, M. 16 2015 Equations of hypergeometric type and Newton polyhedra. Zbl 0667.33010 Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 14 1988 Analogies between the Langlands correspondence and topological quantum field theory. Zbl 0858.11062 Kapranov, M. M. 14 1995 Double affine Hecke algebras and \(2\)-dimensional local fields. Zbl 0958.20005 Kapranov, M. 14 2001 Formal loops. II: A local Riemann-Roch theorem for determinantal gerbes. Zbl 1129.14022 Kapranov, Mikhail; Vasserot, Éric 13 2007 Discriminants of polynomials in several variables. Zbl 0719.15003 Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 13 1990 \(\infty\)-groupoids and homotopy types. Zbl 0754.18008 Kapranov, M. M.; Voevodskij, V. A. 13 1991 A correction to the paper “Hypergeometric functions and toric varieties”. Zbl 0994.33501 Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 13 1993 The derived category of coherent sheaves on a quadric. Zbl 0607.18004 Kapranov, M. M. 12 1986 Homogeneous bundles. Zbl 0742.14011 Bondal, A. I.; Kapranov, M. M. 12 1990 On DG-modules over the De Rham complex and the vanishing cycles functor. Zbl 0757.14010 Kapranov, M. M. 11 1991 Newton polyhedra of principal \(A\)-determinants. Zbl 0742.14042 Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 10 1989 Symmetric and exterior powers of categories. Zbl 1307.18007 Ganter, Nora; Kapranov, Mikhail 9 2014 Microlocal sheaves and quiver varieties. Zbl 1370.14026 Bezrukavnikov, Roman; Kapranov, Mikhail 9 2016 Higher Kac-Moody algebras and moduli spaces of \(G\)-bundles. Zbl 1409.14027 Faonte, Giovanni; Hennion, Benjamin; Kapranov, Mikhail 9 2019 On the derived category and K-functor of coherent sheaves on intersections of quadrics. Zbl 0679.14005 Kapranov, M. M. 8 1989 Erratum to “Koszul duality for operads”. Zbl 0855.18007 Ginzburg, V.; Kapranov, M. 8 1995 Injective resolutions of \(BG\) and derived moduli spaces of local systems. Zbl 0972.18012 Kapranov, M. 8 2001 The Hall algebra of a curve. Zbl 1366.16026 Kapranov, Mikhail; Schiffmann, Olivier; Vasserot, Eric 8 2017 On cuspidal divisors on the modular varieties of elliptic modules. Zbl 0664.14025 Kapranov, M. M. 7 1988 Formal loops. III. Additive functions and the Radon transform. Zbl 1154.14007 Kapranov, M.; Vasserot, E. 6 2008 Supersymmetry and the formal loop space. Zbl 1219.14026 Kapranov, Mikhail; Vasserot, Eric 5 2011 Derived varieties of complexes and Kostant’s theorem for \(\mathfrak{gl}(m|n)\). Zbl 1433.17025 Kapranov, M.; Pimenov, S. 5 2017 A-discriminants and Cayley-Koszul complexes. Zbl 0716.13016 Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 5 1990 Algebra of the infrared and secondary polytopes. Zbl 1348.81424 Kapranov, M.; Kontsevich, M.; Soibelman, Y. 5 2016 Supergeometry in mathematics and physics. Zbl 1487.58038 Kapranov, Mikhail 5 2021 Shuffle algebras and perverse sheaves. Zbl 1464.14022 Kapranov, Mikhail; Schechtman, Vadim 5 2020 Noncommutative geometry and path integrals. Zbl 1204.58008 Kapranov, Mikhail 5 2009 Hypergeometric functions on reductive groups. Zbl 0987.33008 Kapranov, Mikhail 4 1998 Derived category of coherent sheaves on Grassmann varieties. Zbl 0571.14007 Kapranov, M. M. 4 1983 Real mixed Hodge structures. Zbl 1276.14013 Kapranov, Mikhail 4 2012 Riemann-Roch for real varieties. Zbl 1230.14010 Bressler, Paul; Kapranov, Mikhail; Tsygan, Boris; Vasserot, Eric 4 2009 Parabolic divisors on modular varieties of elliptic modules. Zbl 0627.14032 Kapranov, M. M. 3 1987 Hypergeometric functions, toric varieties and Newton polyhedra. Zbl 0785.33008 Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 3 1991 Hidden Stasheff polytopes in algebraic K-theory and in the space of Morse functions. Zbl 0932.19002 Kapranov, Mikhail M.; Saito, Masahico 3 1999 Toric arc schemes and quantum cohomology of toric varieties. Zbl 1097.14043 Arkhipov, Sergey; Kapranov, Mikhail 3 2006 Projectively dual varieties and hyperdeterminants. Zbl 0715.14042 Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 3 1989 On the dimension and degree of the projective dual variety: A \(q\)-analog of the Katz-Kleiman formula. Zbl 0828.14037 Gelfand, I. M.; Kapranov, M. M. 3 1993 Schur quadrics, cubic surfaces and rank 2 vector bundles over the projective plane. Zbl 0809.14011 Dolgachev, I.; Kapranov, M. 3 1993 Gel’fand-Fuchs cohomology in algebraic geometry and factorization algebras. Zbl 1515.14031 Hennion, Benjamin; Kapranov, Mikhail 3 2023 Harmonic analysis on algebraic groups over two-dimensional local fields of equal characteristic. Zbl 1008.20006 Kapranov, Mikhail 2 2000 A higher-dimensional generalization of the Goss zeta function. Zbl 0819.11055 Kapranov, M. 2 1995 The twistor transformation and algebraic-geometric constructions of solutions of the equations of field theory. Zbl 0614.32025 Kapranov, M. M.; Manin, Yu. I. 2 1986 \(\infty\)-groupoids as a model for a homotopy category. Zbl 0721.55015 Voevodskij, V. A.; Kapranov, M. M. 2 1990 Mutations and Serre functors on constructive bundles. Zbl 0744.55003 Kapranov, M. M. 2 1990 Contingency tables with variable margins (with an appendix by Pavel Etingof). Zbl 1454.05012 Kapranov, Mikhail; Schechtman, Vadim 2 2020 Preface [to the International Conference “Geometry and Dynamics of Groups and Spaces. In Memory of Alexander Reznikov”]. Zbl 1134.01313 Kapranov, Mikhail; Kolyada, Sergiy; Manin, Yuri; Moree, Pieter; Potyagailo, Leonid 1 2008 Operads and algebraic geometry. Zbl 0928.18003 Kapranov, M. 1 1998 Spherical Hall algebra of \(\overline{\text{Spec}(\mathbb Z)}\). Zbl 1357.11054 Kapranov, M.; Schiffmann, O.; Vasserot, E. 1 2014 The cohomological Hall algebra of a surface and factorization cohomology. Zbl 07774907 Kapranov, Mikhail; Vasserot, Eric 1 2023 Infinite-dimensional (dg) Lie algebras and factorization algebras in algebraic geometry. Zbl 1467.14007 Kapranov, Mikhail 1 2021 Topology and \(K\)-theory. Lectures by Daniel Quillen. With a contribution by Mikhail Kapranov. Zbl 1434.19001 Penner, Robert 1 2020 Gel’fand-Fuchs cohomology in algebraic geometry and factorization algebras. Zbl 1515.14031 Hennion, Benjamin; Kapranov, Mikhail 3 2023 The cohomological Hall algebra of a surface and factorization cohomology. Zbl 07774907 Kapranov, Mikhail; Vasserot, Eric 1 2023 Supergeometry in mathematics and physics. Zbl 1487.58038 Kapranov, Mikhail 5 2021 Infinite-dimensional (dg) Lie algebras and factorization algebras in algebraic geometry. Zbl 1467.14007 Kapranov, Mikhail 1 2021 Shuffle algebras and perverse sheaves. Zbl 1464.14022 Kapranov, Mikhail; Schechtman, Vadim 5 2020 Contingency tables with variable margins (with an appendix by Pavel Etingof). Zbl 1454.05012 Kapranov, Mikhail; Schechtman, Vadim 2 2020 Topology and \(K\)-theory. Lectures by Daniel Quillen. With a contribution by Mikhail Kapranov. Zbl 1434.19001 Penner, Robert 1 2020 Higher Segal spaces. Zbl 1459.18001 Dyckerhoff, Tobias; Kapranov, Mikhail 52 2019 Higher Kac-Moody algebras and moduli spaces of \(G\)-bundles. Zbl 1409.14027 Faonte, Giovanni; Hennion, Benjamin; Kapranov, Mikhail 9 2019 Perverse schobers and birational geometry. Zbl 1436.14037 Bondal, Alexey; Kapranov, Mikhail; Schechtman, Vadim 29 2018 Triangulated surfaces in triangulated categories. Zbl 1403.18011 Dyckerhoff, Tobias; Kapranov, Mikhail 25 2018 The Hall algebra of a curve. Zbl 1366.16026 Kapranov, Mikhail; Schiffmann, Olivier; Vasserot, Eric 8 2017 Derived varieties of complexes and Kostant’s theorem for \(\mathfrak{gl}(m|n)\). Zbl 1433.17025 Kapranov, M.; Pimenov, S. 5 2017 Perverse sheaves over real hyperplane arrangements. Zbl 1360.14062 Kapranov, Mikhail; Schechtman, Vadim 22 2016 Microlocal sheaves and quiver varieties. Zbl 1370.14026 Bezrukavnikov, Roman; Kapranov, Mikhail 9 2016 Algebra of the infrared and secondary polytopes. Zbl 1348.81424 Kapranov, M.; Kontsevich, M.; Soibelman, Y. 5 2016 Crossed simplicial groups and structured surfaces. Zbl 1373.18015 Dyckerhoff, T.; Kapranov, M. 16 2015 Symmetric and exterior powers of categories. Zbl 1307.18007 Ganter, Nora; Kapranov, Mikhail 9 2014 Spherical Hall algebra of \(\overline{\text{Spec}(\mathbb Z)}\). Zbl 1357.11054 Kapranov, M.; Schiffmann, O.; Vasserot, E. 1 2014 Real mixed Hodge structures. Zbl 1276.14013 Kapranov, Mikhail 4 2012 Supersymmetry and the formal loop space. Zbl 1219.14026 Kapranov, Mikhail; Vasserot, Eric 5 2011 Virtual fundamental classes via dg-manifolds. Zbl 1159.14002 Ciocan-Fontanine, Ionuţ; Kapranov, Mikhail 39 2009 Noncommutative geometry and path integrals. Zbl 1204.58008 Kapranov, Mikhail 5 2009 Riemann-Roch for real varieties. Zbl 1230.14010 Bressler, Paul; Kapranov, Mikhail; Tsygan, Boris; Vasserot, Eric 4 2009 Discriminants, resultants, and multidimensional determinants. Reprint of the 1994 edition. Zbl 1138.14001 Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 155 2008 Representation and character theory in 2-categories. Zbl 1136.18001 Ganter, Nora; Kapranov, Mikhail 33 2008 Formal loops. III. Additive functions and the Radon transform. Zbl 1154.14007 Kapranov, M.; Vasserot, E. 6 2008 Preface [to the International Conference “Geometry and Dynamics of Groups and Spaces. In Memory of Alexander Reznikov”]. Zbl 1134.01313 Kapranov, Mikhail; Kolyada, Sergiy; Manin, Yuri; Moree, Pieter; Potyagailo, Leonid 1 2008 Free Lie algebroids and the space of paths. Zbl 1149.14003 Kapranov, Mikhail 21 2007 Formal loops. II: A local Riemann-Roch theorem for determinantal gerbes. Zbl 1129.14022 Kapranov, Mikhail; Vasserot, Éric 13 2007 Non-archimedean amoebas and tropical varieties. Zbl 1115.14051 Einsiedler, Manfred; Kapranov, Mikhail; Lind, Douglas 116 2006 Toric arc schemes and quantum cohomology of toric varieties. Zbl 1097.14043 Arkhipov, Sergey; Kapranov, Mikhail 3 2006 Vertex algebras and the formal loop space. Zbl 1106.17038 Kapranov, Mikhail; Vasserot, Eric 25 2004 Derived Hilbert schemes. Zbl 1074.14003 Ciocan-Fontanine, Ionut; Kapranov, Mikhail M. 20 2002 Derived Quot schemes. Zbl 1050.14042 Ciocan-Fontanine, Ionuţ; Kapranov, Mikhail 43 2001 Modules and Morita theorem for operads. Zbl 1001.18004 Kapranov, M.; Manin, Yu. 31 2001 Double affine Hecke algebras and \(2\)-dimensional local fields. Zbl 0958.20005 Kapranov, M. 14 2001 Injective resolutions of \(BG\) and derived moduli spaces of local systems. Zbl 0972.18012 Kapranov, M. 8 2001 Kleinian singularities, derived categories and Hall algebras. Zbl 0997.14001 Kapranov, M.; Vasserot, E. 60 2000 The Gauss map and a noncompact Riemann-Roch formula for constructible sheaves on semiabelian varieties. Zbl 1021.14016 Franecki, J.; Kapranov, M. 23 2000 Harmonic analysis on algebraic groups over two-dimensional local fields of equal characteristic. Zbl 1008.20006 Kapranov, Mikhail 2 2000 Rozansky-Witten invariants via Atiyah classes. Zbl 0993.53026 Kapranov, M. 73 1999 Hidden Stasheff polytopes in algebraic K-theory and in the space of Morse functions. Zbl 0932.19002 Kapranov, Mikhail M.; Saito, Masahico 3 1999 Modular operads. Zbl 0894.18005 Getzler, E.; Kapranov, M. M. 94 1998 Heisenberg doubles and derived categories. Zbl 0910.18005 Kapranov, M. 35 1998 Noncommutative geometry based on conductor expansions. Zbl 0918.14001 Kapranov, M. 28 1998 Hypergeometric functions on reductive groups. Zbl 0987.33008 Kapranov, Mikhail 4 1998 Operads and algebraic geometry. Zbl 0928.18003 Kapranov, M. 1 1998 Eisenstein series and quantum affine algebras. Zbl 0929.11015 Kapranov, M. M. 50 1997 Residue construction of Hecke algebras. Zbl 0884.22010 Ginzburg, Victor; Kapranov, Mikhail; Vasserot, Eric 17 1997 Cyclic operads and cyclic homology. Zbl 0883.18013 Getzler, E.; Kapranov, M. M. 85 1995 Langlands reciprocity for algebraic surfaces. Zbl 0914.11040 Ginzburg, Victor; Kapranov, Mikhail; Vasserot, Eric 66 1995 Analogies between the Langlands correspondence and topological quantum field theory. Zbl 0858.11062 Kapranov, M. M. 14 1995 Erratum to “Koszul duality for operads”. Zbl 0855.18007 Ginzburg, V.; Kapranov, M. 8 1995 A higher-dimensional generalization of the Goss zeta function. Zbl 0819.11055 Kapranov, M. 2 1995 Discriminants, resultants, and multidimensional determinants. Zbl 0827.14036 Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 868 1994 Koszul duality for operads. Zbl 0855.18006 Ginzburg, Victor; Kapranov, Mikhail 299 1994 2-categories and Zamolodchikov tetrahedra equations. Zbl 0809.18006 Kapranov, M. M.; Voevodsky, V. A. 114 1994 Braided monoidal 2-categories and Manin-Schechtman higher braid groups. Zbl 0791.18010 Kapranov, M.; Voevodsky, V. 37 1994 Cellular strings on polytopes. Zbl 0812.52007 Billera, Louis J.; Kapranov, M. M.; Sturmfels, Bernd 35 1994 Chow quotients of Grassmannians. I. Zbl 0811.14043 Kapranov, M. M. 121 1993 Veronese curves and Grothendieck-Knudsen moduli space \(\overline{M_{0,n}}\). Zbl 0790.14020 Kapranov, M. M. 59 1993 The permutoassociahedron, Mac Lane’s coherence theorem and asymptotic zones for the KZ equation. Zbl 0812.18003 Kapranov, Mikhail M. 55 1993 Arrangements of hyperplanes and vector bundles on \(\mathbb{P}^ n\). Zbl 0804.14007 Dolgachev, I.; Kapranov, M. 42 1993 A correction to the paper “Hypergeometric functions and toric varieties”. Zbl 0994.33501 Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 13 1993 On the dimension and degree of the projective dual variety: A \(q\)-analog of the Katz-Kleiman formula. Zbl 0828.14037 Gelfand, I. M.; Kapranov, M. M. 3 1993 Schur quadrics, cubic surfaces and rank 2 vector bundles over the projective plane. Zbl 0809.14011 Dolgachev, I.; Kapranov, M. 3 1993 Chow polytopes and general resultants. Zbl 0780.14027 Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V. 50 1992 Hyperdeterminants. Zbl 0774.15002 Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 28 1992 Enhanced triangulated categories. Zbl 0729.18008 Bondal, A. I.; Kapranov, M. M. 98 1991 A characterization of A-discriminantal hypersurfaces in terms of logarithmic Gauss map. Zbl 0714.14031 Kapranov, M. M. 36 1991 Quotients of toric varieties. Zbl 0762.14023 Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V. 35 1991 Combinatorial-geometric aspects of polycategory theory: Pasting schemes and higher Bruhat orders (list of results). Zbl 0748.18010 Kapranov, M. M.; Voevodskij, V. A. 32 1991 Free \(n\)-category generated by a cube, oriented matroids, and higher Bruhat orders. Zbl 0766.20005 Voevodskij, V. A.; Kapranov, M. M. 24 1991 \(\infty\)-groupoids and homotopy types. Zbl 0754.18008 Kapranov, M. M.; Voevodskij, V. A. 13 1991 On DG-modules over the De Rham complex and the vanishing cycles functor. Zbl 0757.14010 Kapranov, M. M. 11 1991 Hypergeometric functions, toric varieties and Newton polyhedra. Zbl 0785.33008 Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 3 1991 Representable functors, Serre functors, and mutations. Zbl 0703.14011 Bondal, A. I.; Kapranov, M. M. 169 1990 Generalized Euler integrals and \(A\)-hypergeometric functions. Zbl 0741.33011 Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 114 1990 Equipped triangulated categories. Zbl 0719.18005 Bondal, A. I.; Kapranov, M. M. 51 1990 Newton polytopes of the classical resultant and discriminant. Zbl 0721.33002 Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 18 1990 Discriminants of polynomials in several variables and triangulations of Newton polyhedra. Zbl 0741.14033 Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 17 1990 Discriminants of polynomials in several variables. Zbl 0719.15003 Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 13 1990 Homogeneous bundles. Zbl 0742.14011 Bondal, A. I.; Kapranov, M. M. 12 1990 A-discriminants and Cayley-Koszul complexes. Zbl 0716.13016 Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 5 1990 \(\infty\)-groupoids as a model for a homotopy category. Zbl 0721.55015 Voevodskij, V. A.; Kapranov, M. M. 2 1990 Mutations and Serre functors on constructive bundles. Zbl 0744.55003 Kapranov, M. M. 2 1990 Hypergeometric functions and toric varieties. (Hypergeometric functions and toral manifolds.) Zbl 0721.33006 Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 100 1989 Newton polyhedra of principal \(A\)-determinants. Zbl 0742.14042 Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 10 1989 On the derived category and K-functor of coherent sheaves on intersections of quadrics. Zbl 0679.14005 Kapranov, M. M. 8 1989 Projectively dual varieties and hyperdeterminants. Zbl 0715.14042 Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 3 1989 On the derived categories of coherent sheaves on some homogeneous spaces. Zbl 0651.18008 Kapranov, M. M. 130 1988 Equations of hypergeometric type and Newton polyhedra. Zbl 0667.33010 Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 14 1988 On cuspidal divisors on the modular varieties of elliptic modules. Zbl 0664.14025 Kapranov, M. M. 7 1988 Parabolic divisors on modular varieties of elliptic modules. Zbl 0627.14032 Kapranov, M. M. 3 1987 The derived category of coherent sheaves on a quadric. Zbl 0607.18004 Kapranov, M. M. 12 1986 The twistor transformation and algebraic-geometric constructions of solutions of the equations of field theory. Zbl 0614.32025 Kapranov, M. M.; Manin, Yu. I. 2 1986 On the derived category of coherent sheaves on Grassmann manifolds. Zbl 0564.14023 Kapranov, M. M. 28 1985 Derived category of coherent sheaves on Grassmann varieties. Zbl 0571.14007 Kapranov, M. M. 4 1983 all cited Publications top 5 cited Publications all top 5 Cited by 3,191 Authors 45 Kapranov, Mikhail M. 36 Sturmfels, Bernd 27 Dickenstein, Alicia M. 20 Katzarkov, Ludmil 19 Mirò-Roig, Rosa Maria 19 Tabuada, Gonçalo 18 Markl, Martin 18 Van den Bergh, Michel 16 Jing, Naihuan 16 Tsikh, Avgust Karlovich 14 Busé, Laurent 14 Ottaviani, Giorgio Maria 14 Polishchuk, Alexander Evgen’evich 13 Emiris, Ioannis Z. 13 Morozov, Alexei Yurievich 13 Santos, Francisco 12 Bremner, Murray R. 12 Forsgård, Jens 12 Manivel, Laurent 12 Orlov, Dmitri O. 12 Pilaud, Vincent 12 Rojas, J. Maurice 12 Vasserot, Eric 12 Willwacher, Thomas Hans 11 Costa, Laura 11 D’Andrea, Carlos 11 Dotsenko, Vladimir Viktorovich 11 Faenzi, Daniele 11 Gaubert, Stéphane 11 Matusevich, Laura Felicia 11 Mikhalkin, Evgeniĭ N. 11 Schiffmann, Olivier G. 11 Takayama, Nobuki 11 Vallette, Bruno 11 Xu, Ping 11 Zhang, Weinian 10 Joswig, Michael 10 Kock, Joachim 10 Kolesnikov, Pavel Sergeevich 10 Kuznetsov, Aleksandr Gennad’evich 10 Lunts, Valery A. 10 Mikhalkin, Grigory B. 10 Walther, Uli 10 Ziegler, Günter Matthias 9 de Wolff, Timo 9 Favero, David 9 Fernández-Fernández, María-Cruz 9 Hosono, Shinobu 9 Jeronimo, Gabriela 9 Lazarev, Andrey 9 Sadykov, Timur Mradovich 9 Stiénon, Mathieu 9 Takeuchi, Kiyoshi 9 Theobald, Thorsten 9 Ward, Benjamin C. 9 Zelevinskiĭ, Andreĭ V. 9 Zhang, Haicheng 8 Ballico, Edoardo 8 Berkesch Zamaere, Christine 8 Calaque, Damien 8 Cattani, Eduardo H. 8 De Loera, Jesús A. 8 Di Rocco, Sandra 8 Fresse, Benoit 8 Giansiracusa, Noah 8 Giraudo, Samuele 8 Kuniba, Atsuo 8 Moon, Han-Bom 8 Mourrain, Bernard 8 Nisse, Mounir 8 Pournin, Lionel 8 Pridham, Jonathan Paul 8 Reiner, Victor 8 Remm, Elisabeth 8 Schechtman, Vadim 8 Sibilla, Nicolò 8 Toën, Bertrand 8 Vallès, Jean 8 Yau, Donald Y. 8 Young, Matthew B. 7 Ballard, Matthew Robert 7 Berest, Yuri Yu. 7 Bolognesi, Michele 7 Chan, Kwokwai 7 Dyckerhoff, Tobias 7 Esterov, Alexander I. 7 Francis, John 7 Gao, Xiaoshan 7 Hackney, Philip 7 Hausen, Jürgen 7 Holweck, Frédéric 7 Huh, Sukmoon 7 Iritani, Hiroshi 7 Isaev, Alexander 7 Katz, Eric 7 Kaufmann, Ralph M. 7 Leung, Naichung Conan 7 Li, Wei 7 Lu, Ming 7 Manin, Yuriĭ Ivanovich ...and 3,091 more Authors all top 5 Cited in 380 Serials 273 Advances in Mathematics 151 Journal of Algebra 112 Journal of Pure and Applied Algebra 86 Communications in Mathematical Physics 86 Journal of Symbolic Computation 75 Transactions of the American Mathematical Society 66 Journal of High Energy Physics 65 Selecta Mathematica. New Series 54 Duke Mathematical Journal 53 Mathematische Zeitschrift 51 Mathematische Annalen 51 Proceedings of the American Mathematical Society 47 Communications in Algebra 47 Compositio Mathematica 41 Linear Algebra and its Applications 38 Journal of Mathematical Physics 38 Annales de l’Institut Fourier 38 Algebraic & Geometric Topology 35 Letters in Mathematical Physics 35 Discrete & Computational Geometry 29 Journal of Geometry and Physics 29 Applied Categorical Structures 26 Geometry & Topology 26 Journal of Noncommutative Geometry 25 Algebras and Representation Theory 24 Manuscripta Mathematica 23 Inventiones Mathematicae 23 Journal of Combinatorial Theory. Series A 23 Advances in Applied Mathematics 23 Journal of Algebraic Combinatorics 23 Journal of Algebraic Geometry 23 Comptes Rendus. Mathématique. Académie des Sciences, Paris 22 European Journal of Mathematics 21 Journal of Mathematical Sciences (New York) 21 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 20 Journal of the American Mathematical Society 20 Journal of Homotopy and Related Structures 18 Journal of the London Mathematical Society. Second Series 18 Theory and Applications of Categories 18 Journal of the European Mathematical Society (JEMS) 17 Forum of Mathematics, Sigma 16 Nuclear Physics. B 15 Journal für die Reine und Angewandte Mathematik 15 European Journal of Combinatorics 15 Journal of Algebra and its Applications 14 Bulletin of the London Mathematical Society 14 Functional Analysis and its Applications 14 Journal of Number Theory 14 Michigan Mathematical Journal 14 Journal of Siberian Federal University. Mathematics & Physics 14 SIAM Journal on Applied Algebra and Geometry 13 Israel Journal of Mathematics 13 Linear and Multilinear Algebra 13 Theoretical and Mathematical Physics 13 Mathematics of Computation 13 Collectanea Mathematica 13 Memoirs of the American Mathematical Society 13 Tôhoku Mathematical Journal. Second Series 12 Mathematische Nachrichten 12 Transformation Groups 12 Proceedings of the Steklov Institute of Mathematics 11 International Journal of Mathematics 11 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 11 Journal of the Institute of Mathematics of Jussieu 11 Science China. Mathematics 10 Annali di Matematica Pura ed Applicata. Serie Quarta 10 Nagoya Mathematical Journal 10 Proceedings of the London Mathematical Society. Third Series 10 Annals of Mathematics. Second Series 10 Advances in Geometry 9 Beiträge zur Algebra und Geometrie 9 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 9 Communications in Contemporary Mathematics 9 Foundations of Computational Mathematics 8 Russian Mathematical Surveys 8 Topology and its Applications 8 Differential Geometry and its Applications 8 Documenta Mathematica 8 Séminaire Lotharingien de Combinatoire 8 International Journal of Geometric Methods in Modern Physics 8 Journal of Physics A: Mathematical and Theoretical 8 Research in the Mathematical Sciences 7 Journal of Mathematical Analysis and Applications 7 Cahiers de Topologie et Géométrie Différentielle Catégoriques 7 Journal of Differential Equations 7 Publications of the Research Institute for Mathematical Sciences, Kyoto University 7 Theoretical Computer Science 7 Journal of Complexity 7 Revista Matemática Iberoamericana 7 Finite Fields and their Applications 7 The Electronic Journal of Combinatorics 7 Izvestiya: Mathematics 7 Representation Theory 7 Arnold Mathematical Journal 7 Higher Structures 6 Discrete Mathematics 6 Mathematical Notes 6 Reviews in Mathematical Physics 6 Publications Mathématiques 6 Mathematika ...and 280 more Serials all top 5 Cited in 60 Fields 1,507 Algebraic geometry (14-XX) 760 Category theory; homological algebra (18-XX) 490 Associative rings and algebras (16-XX) 395 Nonassociative rings and algebras (17-XX) 325 Quantum theory (81-XX) 305 Commutative algebra (13-XX) 280 Convex and discrete geometry (52-XX) 274 Several complex variables and analytic spaces (32-XX) 252 Combinatorics (05-XX) 240 Differential geometry (53-XX) 239 Algebraic topology (55-XX) 171 Group theory and generalizations (20-XX) 159 Manifolds and cell complexes (57-XX) 156 Linear and multilinear algebra; matrix theory (15-XX) 150 Computer science (68-XX) 144 Number theory (11-XX) 126 Special functions (33-XX) 104 Field theory and polynomials (12-XX) 96 \(K\)-theory (19-XX) 89 Global analysis, analysis on manifolds (58-XX) 80 Numerical analysis (65-XX) 66 Dynamical systems and ergodic theory (37-XX) 62 Topological groups, Lie groups (22-XX) 53 Ordinary differential equations (34-XX) 47 Order, lattices, ordered algebraic structures (06-XX) 47 Functions of a complex variable (30-XX) 42 Geometry (51-XX) 41 Partial differential equations (35-XX) 41 Difference and functional equations (39-XX) 40 Relativity and gravitational theory (83-XX) 39 Biology and other natural sciences (92-XX) 36 Functional analysis (46-XX) 32 Operations research, mathematical programming (90-XX) 30 Real functions (26-XX) 27 Statistical mechanics, structure of matter (82-XX) 24 Mathematical logic and foundations (03-XX) 22 Operator theory (47-XX) 21 Probability theory and stochastic processes (60-XX) 20 Statistics (62-XX) 14 Mechanics of particles and systems (70-XX) 10 General and overarching topics; collections (00-XX) 10 History and biography (01-XX) 10 Systems theory; control (93-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 General topology (54-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Information and communication theory, circuits (94-XX) 6 General algebraic systems (08-XX) 6 Approximations and expansions (41-XX) 5 Integral transforms, operational calculus (44-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 3 Measure and integration (28-XX) 3 Potential theory (31-XX) 3 Abstract harmonic analysis (43-XX) 2 Integral equations (45-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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