Edit Profile Kapranov, Mikhail M. Compute Distance To: Compute Author ID: kapranov.mikhail-m Published as: Kapranov, M.; Kapranov, M. M.; Kapranov, Mikhail; Kapranov, Mikhail M. Homepage: http://users.math.yale.edu/~mk486/ External Links: MGP · Wikidata · GND Documents Indexed: 102 Publications since 1983, including 5 Books all top 5 Co-Authors 30 single-authored 16 Zelevinskiĭ, Andreĭ V. 15 Gel’fand, Israil’ Moiseevich 10 Vasserot, Eric 6 Voevodskiĭ, Vladimir Aleksandrovich 5 Bondal, Alexey I. 4 Ginzburg, Victor 4 Manin, Yuri Ivanovich 4 Schechtman, Vadim 3 Ciocan-Fontanine, Ionuţ 3 Dyckerhoff, Tobias 3 Getzler, Ezra 3 Sturmfels, Bernd 2 Dolgachev, Igor’ Vladimirovich 2 Ganter, Nora 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 Faonte, Giovanni 1 Feĭgin, Boris L’vovich 1 Fomin, Sergey Vladimirovich 1 Franecki, J. 1 Hennion, Benjamin 1 Kazhdan, David A. 1 Lind, Douglas A. 1 Merkur’ev, Aleksandr Sergeevich 1 Orlov, Dmitri O. 1 Panin, Ivan A. 1 Routis, Evangelos 1 Saito, Masahico 1 Shabat, George B. 1 Suslin, Andreĭ Aleksandrovich 1 Tsygan, Boris 1 Tyurin, Nikolaĭ Andreevich 1 Vishik, A. S. 1 Weyman, Jerzy M. all top 5 Serials 9 Functional Analysis and its Applications 8 Advances in Mathematics 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 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 Journal of the American Mathematical Society 2 Transformation Groups 2 Pure and Applied Mathematics Quarterly 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 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 Journal of the European Mathematical Society (JEMS) 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Contemporary Mathematics 1 Lecture Notes in Mathematics 1 Progress in Mathematics 1 Journal of Noncommutative Geometry 1 Japanese Journal of Mathematics. 3rd Series 1 Modern Birkhäuser Classics all top 5 Fields 68 Algebraic geometry (14-XX) 37 Category theory; homological algebra (18-XX) 17 Nonassociative rings and algebras (17-XX) 12 Several complex variables and analytic spaces (32-XX) 12 Algebraic topology (55-XX) 10 Group theory and generalizations (20-XX) 9 Number theory (11-XX) 9 Associative rings and algebras (16-XX) 9 Convex and discrete geometry (52-XX) 8 \(K\)-theory (19-XX) 8 Topological groups, Lie groups (22-XX) 8 Special functions (33-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Differential geometry (53-XX) 5 Manifolds and cell complexes (57-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Quantum theory (81-XX) 4 Commutative algebra (13-XX) 3 History and biography (01-XX) 3 Combinatorics (05-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) 2 Abstract harmonic analysis (43-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 92 Publications have been cited 3,061 times in 2,480 Documents Cited by ▼ Year ▼ Discriminants, resultants, and multidimensional determinants. Zbl 0827.14036Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 682 1994 Koszul duality for operads. Zbl 0855.18006Ginzburg, Victor; Kapranov, Mikhail 239 1994 Representable functors, Serre functors, and mutations. Zbl 0703.14011Bondal, A. I.; Kapranov, M. M. 144 1990 On the derived categories of coherent sheaves on some homogeneous spaces. Zbl 0651.18008Kapranov, M. M. 110 1988 Discriminants, resultants, and multidimensional determinants. Reprint of the 1994 edition. Zbl 1138.14001Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 102 2008 Non-archimedean amoebas and tropical varieties. Zbl 1115.14051Einsiedler, Manfred; Kapranov, Mikhail; Lind, Douglas 99 2006 Chow quotients of Grassmannians. I. Zbl 0811.14043Kapranov, M. M. 96 1993 2-categories and Zamolodchikov tetrahedra equations. Zbl 0809.18006Kapranov, M. M.; Voevodsky, V. A. 88 1994 Generalized Euler integrals and \(A\)-hypergeometric functions. Zbl 0741.33011Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 82 1990 Enhanced triangulated categories. Zbl 0729.18008Bondal, A. I.; Kapranov, M. M. 78 1991 Hypergeometric functions and toric varieties. Zbl 0721.33006Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 77 1989 Modular operads. Zbl 0894.18005Getzler, E.; Kapranov, M. M. 68 1998 Cyclic operads and cyclic homology. Zbl 0883.18013Getzler, E.; Kapranov, M. M. 66 1995 Rozansky-Witten invariants via Atiyah classes. Zbl 0993.53026Kapranov, M. 50 1999 Veronese curves and Grothendieck-Knudsen moduli space \(\overline{M_{0,n}}\). Zbl 0790.14020Kapranov, M. M. 49 1993 Langlands reciprocity for algebraic surfaces. Zbl 0914.11040Ginzburg, Victor; Kapranov, Mikhail; Vasserot, Eric 48 1995 Kleinian singularities, derived categories and Hall algebras. Zbl 0997.14001Kapranov, M.; Vasserot, E. 46 2000 The permutoassociahedron, Mac Lane’s coherence theorem and asymptotic zones for the KZ equation. Zbl 0812.18003Kapranov, Mikhail M. 45 1993 Chow polytopes and general resultants. Zbl 0780.14027Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V. 44 1992 Equipped triangulated categories. Zbl 0719.18005Bondal, A. I.; Kapranov, M. M. 44 1990 Eisenstein series and quantum affine algebras. Zbl 0929.11015Kapranov, M. M. 39 1997 Derived Quot schemes. Zbl 1050.14042Ciocan-Fontanine, Ionuţ; Kapranov, Mikhail 35 2001 Heisenberg doubles and derived categories. Zbl 0910.18005Kapranov, M. 33 1998 Arrangements of hyperplanes and vector bundles on \(\mathbb{P}^ n\). Zbl 0804.14007Dolgachev, I.; Kapranov, M. 31 1993 Modules and Morita theorem for operads. Zbl 1001.18004Kapranov, M.; Manin, Yu. 28 2001 Quotients of toric varieties. Zbl 0762.14023Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V. 27 1991 Braided monoidal 2-categories and Manin-Schechtman higher braid groups. Zbl 0791.18010Kapranov, M.; Voevodsky, V. 26 1994 On the derived category of coherent sheaves on Grassmann manifolds. Zbl 0564.14023Kapranov, M. M. 25 1985 Representation and character theory in 2-categories. Zbl 1136.18001Ganter, Nora; Kapranov, Mikhail 24 2008 Noncommutative geometry based on conductor expansions. Zbl 0918.14001Kapranov, M. 24 1998 Hyperdeterminants. Zbl 0774.15002Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 24 1992 Virtual fundamental classes via dg-manifolds. Zbl 1159.14002Ciocan-Fontanine, Ionuţ; Kapranov, Mikhail 23 2009 Cellular strings on polytopes. Zbl 0812.52007Billera, Louis J.; Kapranov, M. M.; Sturmfels, Bernd 23 1994 A characterization of A-discriminantal hypersurfaces in terms of logarithmic Gauss map. Zbl 0714.14031Kapranov, M. M. 23 1991 Vertex algebras and the formal loop space. Zbl 1106.17038Kapranov, Mikhail; Vasserot, Eric 20 2004 Derived Hilbert schemes. Zbl 1074.14003Ciocan-Fontanine, Ionut; Kapranov, Mikhail M. 18 2002 Combinatorial-geometric aspects of polycategory theory: Pasting schemes and higher Bruhat orders (list of results). Zbl 0748.18010Kapranov, M. M.; Voevodskij, V. A. 18 1991 Free \(n\)-category generated by a cube, oriented matroids, and higher Bruhat orders. Zbl 0766.20005Voevodskij, V. A.; Kapranov, M. M. 18 1991 Discriminants of polynomials in several variables and triangulations of Newton polyhedra. Zbl 0741.14033Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 18 1990 Newton polytopes of the classical resultant and discriminant. Zbl 0721.33002Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 17 1990 Free Lie algebroids and the space of paths. Zbl 1149.14003Kapranov, Mikhail 16 2007 Residue construction of Hecke algebras. Zbl 0884.22010Ginzburg, Victor; Kapranov, Mikhail; Vasserot, Eric 15 1997 Triangulated surfaces in triangulated categories. Zbl 1403.18011Dyckerhoff, Tobias; Kapranov, Mikhail 13 2018 Double affine Hecke algebras and \(2\)-dimensional local fields. Zbl 0958.20005Kapranov, M. 13 2001 The Gauss map and a noncompact Riemann-Roch formula for constructible sheaves on semiabelian varieties. Zbl 1021.14016Franecki, J.; Kapranov, M. 12 2000 Analogies between the Langlands correspondence and topological quantum field theory. Zbl 0858.11062Kapranov, M. M. 12 1995 A correction to the paper “Hypergeometric functions and toric varieties”. Zbl 0994.33501Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 12 1993 Higher Segal spaces. Zbl 1459.18001Dyckerhoff, Tobias; Kapranov, Mikhail 11 2019 Discriminants of polynomials in several variables. Zbl 0719.15003Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 11 1990 Equations of hypergeometric type and Newton polyhedra. Zbl 0667.33010Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 11 1988 The derived category of coherent sheaves on a quadric. Zbl 0607.18004Kapranov, M. M. 11 1986 Formal loops. II: A local Riemann-Roch theorem for determinantal gerbes. Zbl 1129.14022Kapranov, Mikhail; Vasserot, Éric 10 2007 Homogeneous bundles. Zbl 0742.14011Bondal, A. I.; Kapranov, M. M. 10 1990 Crossed simplicial groups and structured surfaces. Zbl 1373.18015Dyckerhoff, T.; Kapranov, M. 9 2015 \(\infty\)-groupoids and homotopy types. Zbl 0754.18008Kapranov, M. M.; Voevodskij, V. A. 9 1991 On DG-modules over the De Rham complex and the vanishing cycles functor. Zbl 0757.14010Kapranov, M. M. 8 1991 Perverse schobers and birational geometry. Zbl 1436.14037Bondal, Alexey; Kapranov, Mikhail; Schechtman, Vadim 7 2018 Perverse sheaves over real hyperplane arrangements. Zbl 1360.14062Kapranov, Mikhail; Schechtman, Vadim 7 2016 Symmetric and exterior powers of categories. Zbl 1307.18007Ganter, Nora; Kapranov, Mikhail 7 2014 Erratum to “Koszul duality for operads”. Zbl 0855.18007Ginzburg, V.; Kapranov, M. 7 1995 On the derived category and K-functor of coherent sheaves on intersections of quadrics. Zbl 0679.14005Kapranov, M. M. 7 1989 Newton polyhedra of principal \(A\)-determinants. Zbl 0742.14042Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 7 1989 Injective resolutions of \(BG\) and derived moduli spaces of local systems. Zbl 0972.18012Kapranov, M. 6 2001 Higher Kac-Moody algebras and moduli spaces of \(G\)-bundles. Zbl 1409.14027Faonte, Giovanni; Hennion, Benjamin; Kapranov, Mikhail 5 2019 Derived varieties of complexes and Kostant’s theorem for \(\mathfrak{gl}(m|n)\). Zbl 1433.17025Kapranov, M.; Pimenov, S. 5 2017 Formal loops. III. Additive functions and the Radon transform. Zbl 1154.14007Kapranov, M.; Vasserot, E. 5 2008 On cuspidal divisors on the modular varieties of elliptic modules. Zbl 0664.14025Kapranov, M. M. 5 1988 The Hall algebra of a curve. Zbl 1366.16026Kapranov, Mikhail; Schiffmann, Olivier; Vasserot, Eric 4 2017 Real mixed Hodge structures. Zbl 1276.14013Kapranov, Mikhail 4 2012 Noncommutative geometry and path integrals. Zbl 1204.58008Kapranov, Mikhail 4 2009 Hypergeometric functions on reductive groups. Zbl 0987.33008Kapranov, Mikhail 4 1998 A-discriminants and Cayley-Koszul complexes. Zbl 0716.13016Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 4 1990 Projectively dual varieties and hyperdeterminants. Zbl 0715.14042Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 4 1989 Algebra of the infrared and secondary polytopes. Zbl 1348.81424Kapranov, M.; Kontsevich, M.; Soibelman, Y. 3 2016 Hidden Stasheff polytopes in algebraic K-theory and in the space of Morse functions. Zbl 0932.19002Kapranov, Mikhail M.; Saito, Masahico 3 1999 Derived category of coherent sheaves on Grassmann varieties. Zbl 0571.14007Kapranov, M. M. 3 1983 Microlocal sheaves and quiver varieties. Zbl 1370.14026Bezrukavnikov, Roman; Kapranov, Mikhail 2 2016 Supersymmetry and the formal loop space. Zbl 1219.14026Kapranov, Mikhail; Vasserot, Eric 2 2011 Riemann-Roch for real varieties. Zbl 1230.14010Bressler, Paul; Kapranov, Mikhail; Tsygan, Boris; Vasserot, Eric 2 2009 Toric arc schemes and quantum cohomology of toric varieties. Zbl 1097.14043Arkhipov, Sergey; Kapranov, Mikhail 2 2006 Harmonic analysis on algebraic groups over two-dimensional local fields of equal characteristic. Zbl 1008.20006Kapranov, Mikhail 2 2000 A higher-dimensional generalization of the Goss zeta function. Zbl 0819.11055Kapranov, M. 2 1995 Schur quadrics, cubic surfaces and rank 2 vector bundles over the projective plane. Zbl 0809.14011Dolgachev, I.; Kapranov, M. 2 1993 On the dimension and degree of the projective dual variety: A \(q\)-analog of the Katz-Kleiman formula. Zbl 0828.14037Gelfand, I. M.; Kapranov, M. M. 2 1993 Parabolic divisors on modular varieties of elliptic modules. Zbl 0627.14032Kapranov, M. M. 2 1987 The twistor transformation and algebraic-geometric constructions of solutions of the equations of field theory. Zbl 0614.32025Kapranov, M. M.; Manin, Yu. I. 2 1986 Spherical Hall algebra of \(\overline{\text{Spec}(\mathbb Z)}\). Zbl 1357.11054Kapranov, M.; Schiffmann, O.; Vasserot, E. 1 2014 Preface [to the International Conference “Geometry and Dynamics of Groups and Spaces. In Memory of Alexander Reznikov”]. Zbl 1134.01313Kapranov, Mikhail; Kolyada, Sergiy; Manin, Yuri; Moree, Pieter; Potyagailo, Leonid 1 2008 Operads and algebraic geometry. Zbl 0928.18003Kapranov, M. 1 1998 Hypergeometric functions, toric varieties and Newton polyhedra. Zbl 0785.33008Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 1 1991 \(\infty\)-groupoids as a model for a homotopy category. Zbl 0721.55015Voevodskij, V. A.; Kapranov, M. M. 1 1990 Mutations and Serre functors on constructive bundles. Zbl 0744.55003Kapranov, M. M. 1 1990 Higher Segal spaces. Zbl 1459.18001Dyckerhoff, Tobias; Kapranov, Mikhail 11 2019 Higher Kac-Moody algebras and moduli spaces of \(G\)-bundles. Zbl 1409.14027Faonte, Giovanni; Hennion, Benjamin; Kapranov, Mikhail 5 2019 Triangulated surfaces in triangulated categories. Zbl 1403.18011Dyckerhoff, Tobias; Kapranov, Mikhail 13 2018 Perverse schobers and birational geometry. Zbl 1436.14037Bondal, Alexey; Kapranov, Mikhail; Schechtman, Vadim 7 2018 Derived varieties of complexes and Kostant’s theorem for \(\mathfrak{gl}(m|n)\). Zbl 1433.17025Kapranov, M.; Pimenov, S. 5 2017 The Hall algebra of a curve. Zbl 1366.16026Kapranov, Mikhail; Schiffmann, Olivier; Vasserot, Eric 4 2017 Perverse sheaves over real hyperplane arrangements. Zbl 1360.14062Kapranov, Mikhail; Schechtman, Vadim 7 2016 Algebra of the infrared and secondary polytopes. Zbl 1348.81424Kapranov, M.; Kontsevich, M.; Soibelman, Y. 3 2016 Microlocal sheaves and quiver varieties. Zbl 1370.14026Bezrukavnikov, Roman; Kapranov, Mikhail 2 2016 Crossed simplicial groups and structured surfaces. Zbl 1373.18015Dyckerhoff, T.; Kapranov, M. 9 2015 Symmetric and exterior powers of categories. Zbl 1307.18007Ganter, Nora; Kapranov, Mikhail 7 2014 Spherical Hall algebra of \(\overline{\text{Spec}(\mathbb Z)}\). Zbl 1357.11054Kapranov, M.; Schiffmann, O.; Vasserot, E. 1 2014 Real mixed Hodge structures. Zbl 1276.14013Kapranov, Mikhail 4 2012 Supersymmetry and the formal loop space. Zbl 1219.14026Kapranov, Mikhail; Vasserot, Eric 2 2011 Virtual fundamental classes via dg-manifolds. Zbl 1159.14002Ciocan-Fontanine, Ionuţ; Kapranov, Mikhail 23 2009 Noncommutative geometry and path integrals. Zbl 1204.58008Kapranov, Mikhail 4 2009 Riemann-Roch for real varieties. Zbl 1230.14010Bressler, Paul; Kapranov, Mikhail; Tsygan, Boris; Vasserot, Eric 2 2009 Discriminants, resultants, and multidimensional determinants. Reprint of the 1994 edition. Zbl 1138.14001Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 102 2008 Representation and character theory in 2-categories. Zbl 1136.18001Ganter, Nora; Kapranov, Mikhail 24 2008 Formal loops. III. Additive functions and the Radon transform. Zbl 1154.14007Kapranov, M.; Vasserot, E. 5 2008 Preface [to the International Conference “Geometry and Dynamics of Groups and Spaces. In Memory of Alexander Reznikov”]. Zbl 1134.01313Kapranov, Mikhail; Kolyada, Sergiy; Manin, Yuri; Moree, Pieter; Potyagailo, Leonid 1 2008 Free Lie algebroids and the space of paths. Zbl 1149.14003Kapranov, Mikhail 16 2007 Formal loops. II: A local Riemann-Roch theorem for determinantal gerbes. Zbl 1129.14022Kapranov, Mikhail; Vasserot, Éric 10 2007 Non-archimedean amoebas and tropical varieties. Zbl 1115.14051Einsiedler, Manfred; Kapranov, Mikhail; Lind, Douglas 99 2006 Toric arc schemes and quantum cohomology of toric varieties. Zbl 1097.14043Arkhipov, Sergey; Kapranov, Mikhail 2 2006 Vertex algebras and the formal loop space. Zbl 1106.17038Kapranov, Mikhail; Vasserot, Eric 20 2004 Derived Hilbert schemes. Zbl 1074.14003Ciocan-Fontanine, Ionut; Kapranov, Mikhail M. 18 2002 Derived Quot schemes. Zbl 1050.14042Ciocan-Fontanine, Ionuţ; Kapranov, Mikhail 35 2001 Modules and Morita theorem for operads. Zbl 1001.18004Kapranov, M.; Manin, Yu. 28 2001 Double affine Hecke algebras and \(2\)-dimensional local fields. Zbl 0958.20005Kapranov, M. 13 2001 Injective resolutions of \(BG\) and derived moduli spaces of local systems. Zbl 0972.18012Kapranov, M. 6 2001 Kleinian singularities, derived categories and Hall algebras. Zbl 0997.14001Kapranov, M.; Vasserot, E. 46 2000 The Gauss map and a noncompact Riemann-Roch formula for constructible sheaves on semiabelian varieties. Zbl 1021.14016Franecki, J.; Kapranov, M. 12 2000 Harmonic analysis on algebraic groups over two-dimensional local fields of equal characteristic. Zbl 1008.20006Kapranov, Mikhail 2 2000 Rozansky-Witten invariants via Atiyah classes. Zbl 0993.53026Kapranov, M. 50 1999 Hidden Stasheff polytopes in algebraic K-theory and in the space of Morse functions. Zbl 0932.19002Kapranov, Mikhail M.; Saito, Masahico 3 1999 Modular operads. Zbl 0894.18005Getzler, E.; Kapranov, M. M. 68 1998 Heisenberg doubles and derived categories. Zbl 0910.18005Kapranov, M. 33 1998 Noncommutative geometry based on conductor expansions. Zbl 0918.14001Kapranov, M. 24 1998 Hypergeometric functions on reductive groups. Zbl 0987.33008Kapranov, Mikhail 4 1998 Operads and algebraic geometry. Zbl 0928.18003Kapranov, M. 1 1998 Eisenstein series and quantum affine algebras. Zbl 0929.11015Kapranov, M. M. 39 1997 Residue construction of Hecke algebras. Zbl 0884.22010Ginzburg, Victor; Kapranov, Mikhail; Vasserot, Eric 15 1997 Cyclic operads and cyclic homology. Zbl 0883.18013Getzler, E.; Kapranov, M. M. 66 1995 Langlands reciprocity for algebraic surfaces. Zbl 0914.11040Ginzburg, Victor; Kapranov, Mikhail; Vasserot, Eric 48 1995 Analogies between the Langlands correspondence and topological quantum field theory. Zbl 0858.11062Kapranov, M. M. 12 1995 Erratum to “Koszul duality for operads”. Zbl 0855.18007Ginzburg, V.; Kapranov, M. 7 1995 A higher-dimensional generalization of the Goss zeta function. Zbl 0819.11055Kapranov, M. 2 1995 Discriminants, resultants, and multidimensional determinants. Zbl 0827.14036Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 682 1994 Koszul duality for operads. Zbl 0855.18006Ginzburg, Victor; Kapranov, Mikhail 239 1994 2-categories and Zamolodchikov tetrahedra equations. Zbl 0809.18006Kapranov, M. M.; Voevodsky, V. A. 88 1994 Braided monoidal 2-categories and Manin-Schechtman higher braid groups. Zbl 0791.18010Kapranov, M.; Voevodsky, V. 26 1994 Cellular strings on polytopes. Zbl 0812.52007Billera, Louis J.; Kapranov, M. M.; Sturmfels, Bernd 23 1994 Chow quotients of Grassmannians. I. Zbl 0811.14043Kapranov, M. M. 96 1993 Veronese curves and Grothendieck-Knudsen moduli space \(\overline{M_{0,n}}\). Zbl 0790.14020Kapranov, M. M. 49 1993 The permutoassociahedron, Mac Lane’s coherence theorem and asymptotic zones for the KZ equation. Zbl 0812.18003Kapranov, Mikhail M. 45 1993 Arrangements of hyperplanes and vector bundles on \(\mathbb{P}^ n\). Zbl 0804.14007Dolgachev, I.; Kapranov, M. 31 1993 A correction to the paper “Hypergeometric functions and toric varieties”. Zbl 0994.33501Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 12 1993 Schur quadrics, cubic surfaces and rank 2 vector bundles over the projective plane. Zbl 0809.14011Dolgachev, I.; Kapranov, M. 2 1993 On the dimension and degree of the projective dual variety: A \(q\)-analog of the Katz-Kleiman formula. Zbl 0828.14037Gelfand, I. M.; Kapranov, M. M. 2 1993 Chow polytopes and general resultants. Zbl 0780.14027Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V. 44 1992 Hyperdeterminants. Zbl 0774.15002Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 24 1992 Enhanced triangulated categories. Zbl 0729.18008Bondal, A. I.; Kapranov, M. M. 78 1991 Quotients of toric varieties. Zbl 0762.14023Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V. 27 1991 A characterization of A-discriminantal hypersurfaces in terms of logarithmic Gauss map. Zbl 0714.14031Kapranov, M. M. 23 1991 Combinatorial-geometric aspects of polycategory theory: Pasting schemes and higher Bruhat orders (list of results). Zbl 0748.18010Kapranov, M. M.; Voevodskij, V. A. 18 1991 Free \(n\)-category generated by a cube, oriented matroids, and higher Bruhat orders. Zbl 0766.20005Voevodskij, V. A.; Kapranov, M. M. 18 1991 \(\infty\)-groupoids and homotopy types. Zbl 0754.18008Kapranov, M. M.; Voevodskij, V. A. 9 1991 On DG-modules over the De Rham complex and the vanishing cycles functor. Zbl 0757.14010Kapranov, M. M. 8 1991 Hypergeometric functions, toric varieties and Newton polyhedra. Zbl 0785.33008Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 1 1991 Representable functors, Serre functors, and mutations. Zbl 0703.14011Bondal, A. I.; Kapranov, M. M. 144 1990 Generalized Euler integrals and \(A\)-hypergeometric functions. Zbl 0741.33011Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 82 1990 Equipped triangulated categories. Zbl 0719.18005Bondal, A. I.; Kapranov, M. M. 44 1990 Discriminants of polynomials in several variables and triangulations of Newton polyhedra. Zbl 0741.14033Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 18 1990 Newton polytopes of the classical resultant and discriminant. Zbl 0721.33002Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 17 1990 Discriminants of polynomials in several variables. Zbl 0719.15003Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 11 1990 Homogeneous bundles. Zbl 0742.14011Bondal, A. I.; Kapranov, M. M. 10 1990 A-discriminants and Cayley-Koszul complexes. Zbl 0716.13016Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 4 1990 \(\infty\)-groupoids as a model for a homotopy category. Zbl 0721.55015Voevodskij, V. A.; Kapranov, M. M. 1 1990 Mutations and Serre functors on constructive bundles. Zbl 0744.55003Kapranov, M. M. 1 1990 Hypergeometric functions and toric varieties. Zbl 0721.33006Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 77 1989 On the derived category and K-functor of coherent sheaves on intersections of quadrics. Zbl 0679.14005Kapranov, M. M. 7 1989 Newton polyhedra of principal \(A\)-determinants. Zbl 0742.14042Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 7 1989 Projectively dual varieties and hyperdeterminants. Zbl 0715.14042Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 4 1989 On the derived categories of coherent sheaves on some homogeneous spaces. Zbl 0651.18008Kapranov, M. M. 110 1988 Equations of hypergeometric type and Newton polyhedra. Zbl 0667.33010Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 11 1988 On cuspidal divisors on the modular varieties of elliptic modules. Zbl 0664.14025Kapranov, M. M. 5 1988 Parabolic divisors on modular varieties of elliptic modules. Zbl 0627.14032Kapranov, M. M. 2 1987 The derived category of coherent sheaves on a quadric. Zbl 0607.18004Kapranov, M. M. 11 1986 The twistor transformation and algebraic-geometric constructions of solutions of the equations of field theory. Zbl 0614.32025Kapranov, M. M.; Manin, Yu. I. 2 1986 On the derived category of coherent sheaves on Grassmann manifolds. Zbl 0564.14023Kapranov, M. M. 25 1985 Derived category of coherent sheaves on Grassmann varieties. Zbl 0571.14007Kapranov, M. M. 3 1983 all cited Publications top 5 cited Publications all top 5 Cited by 2,547 Authors 39 Kapranov, Mikhail M. 33 Sturmfels, Bernd 24 Dickenstein, Alicia M. 17 Katzarkov, Ludmil 17 Markl, Martin 16 Van den Bergh, Michel 15 Tabuada, Gonçalo 14 Mirò-Roig, Rosa Maria 13 Emiris, Ioannis Z. 13 Orlov, Dmitri O. 12 Morozov, Alexei Yurievich 12 Ottaviani, Giorgio Maria 11 Bremner, Murray R. 11 Jing, Naihuan 11 Manivel, Laurent 11 Polishchuk, Alexander Evgen’evich 11 Rojas, J. Maurice 11 Schiffmann, Olivier G. 11 Tsikh, Avgust Karlovich 11 Willwacher, Thomas Hans 11 Zhang, Weinian 10 Busé, Laurent 10 Costa, Laura 10 D’Andrea, Carlos 10 Joswig, Michael 10 Matusevich, Laura Felicia 10 Vallette, Bruno 9 Faenzi, Daniele 9 Kuznetsov, Aleksandr Gennad’evich 9 Lunts, Valery A. 9 Takeuchi, Kiyoshi 9 Vasserot, Eric 9 Zelevinskiĭ, Andreĭ V. 8 Ballard, Matthew Robert 8 Dotsenko, Vladimir Viktorovich 8 Favero, David 8 Forsgård, Jens 8 Fresse, Benoit 8 Gaubert, Stéphane 8 Isaev, Alexander 8 Jeronimo, Gabriela 8 Kock, Joachim 8 Moon, Han-Bom 8 Nisse, Mounir 8 Passare, Mikael 8 Reiner, Victor 8 Remm, Elisabeth 8 Sadykov, Timur Mradovich 8 Santos, Francisco 8 Walther, Uli 8 Yau, Donald Y. 8 Zhang, Haicheng 7 Calaque, Damien 7 Cattani, Eduardo H. 7 Esterov, Alexander I. 7 Francis, John 7 Gao, Xiaoshan 7 Giansiracusa, Noah 7 Hausen, Jürgen 7 Hosono, Shinobu 7 Iyama, Osamu 7 Katz, Eric 7 Kuniba, Atsuo 7 Lazarev, Andrey 7 Li, Wei 7 Merkulov, Sergei A. 7 Mikhalkin, Grigory B. 7 Mourrain, Bernard 7 Pournin, Lionel 7 Shustin, Eugenii Isaakovich 7 Sibilla, Nicolò 7 Takayama, Nobuki 7 Toën, Bertrand 7 Ueda, Kazushi 7 Vallès, Jean 7 Xu, Fan 7 Xu, Ping 7 Yuan, Chunming 6 Aspinwall, Paul S. 6 Berest, Yuri Yu. 6 Berkesch Zamaere, Christine 6 Bernardara, Marcello 6 Billera, Louis J. 6 Craw, Alastair 6 de Wolff, Timo 6 Dyckerhoff, Tobias 6 Elgueta, Josep 6 Eshaghi Gordji, Madjid 6 Fernández-Fernández, María-Cruz 6 Huh, Sukmoon 6 Kajiura, Hiroshige 6 Kerr, Gabriel 6 Kolesnikov, Pavel Sergeevich 6 Markwig, Hannah 6 Pilaud, Vincent 6 Pridham, Jonathan Paul 6 Ramadoss, Ajay C. 6 Scherotzke, Sarah 6 Soares, Helena 6 Tabera, Luis Felipe ...and 2,447 more Authors all top 5 Cited in 314 Serials 236 Advances in Mathematics 135 Journal of Algebra 94 Journal of Pure and Applied Algebra 80 Journal of Symbolic Computation 63 Communications in Mathematical Physics 61 Transactions of the American Mathematical Society 54 Duke Mathematical Journal 45 Selecta Mathematica. New Series 44 Journal of High Energy Physics 42 Proceedings of the American Mathematical Society 41 Compositio Mathematica 38 Communications in Algebra 38 Mathematische Annalen 35 Journal of Mathematical Physics 33 Annales de l’Institut Fourier 33 Linear Algebra and its Applications 32 Mathematische Zeitschrift 29 Algebraic & Geometric Topology 28 Discrete & Computational Geometry 26 Letters in Mathematical Physics 24 Journal of Geometry and Physics 22 Journal of Combinatorial Theory. Series A 22 Applied Categorical Structures 22 Geometry & Topology 21 Manuscripta Mathematica 21 Advances in Applied Mathematics 21 Comptes Rendus. Mathématique. Académie des Sciences, Paris 20 Inventiones Mathematicae 20 Journal of Algebraic Combinatorics 20 Journal of Mathematical Sciences (New York) 19 Journal of Algebraic Geometry 18 Journal of Noncommutative Geometry 17 Nuclear Physics. B 16 Journal of Homotopy and Related Structures 15 Journal of the American Mathematical Society 15 Algebras and Representation Theory 15 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 14 Functional Analysis and its Applications 14 Journal für die Reine und Angewandte Mathematik 14 Michigan Mathematical Journal 14 Journal of the European Mathematical Society (JEMS) 13 Tohoku Mathematical Journal. Second Series 13 European Journal of Mathematics 12 Theoretical and Mathematical Physics 12 Collectanea Mathematica 11 Journal of Number Theory 11 European Journal of Combinatorics 11 International Journal of Mathematics 11 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 11 Theory and Applications of Categories 11 Forum of Mathematics, Sigma 10 Linear and Multilinear Algebra 10 Mathematics of Computation 10 Annals of Mathematics. Second Series 10 Journal of Algebra and its Applications 10 Proceedings of the Steklov Institute of Mathematics 10 Journal of Siberian Federal University. Mathematics & Physics 9 Israel Journal of Mathematics 9 Mathematische Nachrichten 9 Transformation Groups 8 Beiträge zur Algebra und Geometrie 8 Memoirs of the American Mathematical Society 8 International Journal of Geometric Methods in Modern Physics 8 Research in the Mathematical Sciences 7 Journal of Mathematical Analysis and Applications 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Cahiers de Topologie et Géométrie Différentielle Catégoriques 7 Journal of the London Mathematical Society. Second Series 7 Nagoya Mathematical Journal 7 Theoretical Computer Science 7 Topology and its Applications 7 Foundations of Computational Mathematics 7 Journal of the Institute of Mathematics of Jussieu 7 SIAM Journal on Applied Algebra and Geometry 6 Mathematical Notes 6 Russian Mathematical Surveys 6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 6 Publications Mathématiques 6 Journal of Complexity 6 \(K\)-Theory 6 Revista Matemática Iberoamericana 6 Communications in Contemporary Mathematics 6 Advances in Geometry 6 Central European Journal of Mathematics 6 Science China. Mathematics 5 International Journal of Mathematics and Mathematical Sciences 5 Journal of Differential Equations 5 Mathematika 5 Differential Geometry and its Applications 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Indagationes Mathematicae. New Series 5 St. Petersburg Mathematical Journal 5 Annales Mathématiques Blaise Pascal 5 Advances in Applied Clifford Algebras 5 Sbornik: Mathematics 5 Documenta Mathematica 5 Representation Theory 5 Mathematics in Computer Science 5 Arnold Mathematical Journal 5 Journal de l’École Polytechnique – Mathématiques ...and 214 more Serials all top 5 Cited in 61 Fields 1,161 Algebraic geometry (14-XX) 600 Category theory; homological algebra (18-XX) 390 Associative rings and algebras (16-XX) 295 Nonassociative rings and algebras (17-XX) 248 Quantum theory (81-XX) 235 Commutative algebra (13-XX) 208 Convex and discrete geometry (52-XX) 207 Several complex variables and analytic spaces (32-XX) 183 Differential geometry (53-XX) 178 Combinatorics (05-XX) 177 Algebraic topology (55-XX) 136 Group theory and generalizations (20-XX) 120 Computer science (68-XX) 116 Manifolds and cell complexes (57-XX) 114 Linear and multilinear algebra; matrix theory (15-XX) 99 Number theory (11-XX) 96 Special functions (33-XX) 84 Field theory and polynomials (12-XX) 76 \(K\)-theory (19-XX) 65 Numerical analysis (65-XX) 63 Global analysis, analysis on manifolds (58-XX) 50 Topological groups, Lie groups (22-XX) 48 Dynamical systems and ergodic theory (37-XX) 38 Ordinary differential equations (34-XX) 37 Partial differential equations (35-XX) 36 Functions of a complex variable (30-XX) 35 Relativity and gravitational theory (83-XX) 32 Difference and functional equations (39-XX) 32 Functional analysis (46-XX) 32 Geometry (51-XX) 30 Order, lattices, ordered algebraic structures (06-XX) 27 Biology and other natural sciences (92-XX) 24 Real functions (26-XX) 20 Statistical mechanics, structure of matter (82-XX) 20 Operations research, mathematical programming (90-XX) 16 Mathematical logic and foundations (03-XX) 16 Operator theory (47-XX) 16 Probability theory and stochastic processes (60-XX) 13 Statistics (62-XX) 9 Mechanics of particles and systems (70-XX) 7 General and overarching topics; collections (00-XX) 7 General topology (54-XX) 6 History and biography (01-XX) 6 General algebraic systems (08-XX) 6 Systems theory; control (93-XX) 5 Approximations and expansions (41-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Information and communication theory, circuits (94-XX) 3 Measure and integration (28-XX) 3 Integral transforms, operational calculus (44-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral equations (45-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-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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