Mikhail Kapranov

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Person:280107

Available identifiers

zbMath Open kapranov.mikhail-mWikidataQ1930300 ScholiaQ1930300MaRDI QIDQ280107

List of research outcomes

PublicationDate of PublicationType
The cohomological Hall algebra of a surface and factorization cohomology2023-12-11Paper
Perverse sheaves on Riemann surfaces as Milnor sheaves2023-10-23Paper
N-spherical functors and categorification of Euler's continuants2023-06-23Paper
Gel′fand-Fuchs cohomology in algebraic geometry and factorization algebras2023-01-23Paper
Perverse sheaves over real hyperplane arrangements. II2022-12-08Paper
Fourier-Sato Transform on Hyperplane Arrangements2022-11-01Paper
PROBs and perverse sheaves II. Ran spaces and 0-cycles with coefficients2022-09-06Paper
Parabolic induction and perverse sheaves on \(W \backslash \mathfrak{h} \)2022-03-04Paper
The Logic of Quantum Mechanics (Revisited)2021-11-12Paper
Spherical adjunctions of stable $\infty$-categories and the relative S-construction2021-06-05Paper
Infinite-dimensional (dg) Lie algebras and factorization algebras in algebraic geometry2021-03-17Paper
PROBs and perverse sheaves I. Symmetric products2021-02-26Paper
Conformal maps in higher dimensions and derived geometry2021-02-23Paper
Shuffle algebras and perverse sheaves2020-12-10Paper
Perverse schobers and the Algebra of the Infrared2020-11-02Paper
Contingency tables with variable margins (with an appendix by Pavel Etingof)2020-08-03Paper
Perverse sheaves over real hyperplane arrangements II2019-10-03Paper
Higher Segal Spaces2019-09-11Paper
Higher Kac-Moody algebras and moduli spaces of \(G\)-bundles2019-03-13Paper
Gelfand-Fuchs cohomology in algebraic geometry and factorization algebras2018-11-12Paper
Complete complexes and spectral sequences2018-10-19Paper
Triangulated surfaces in triangulated categories2018-06-21Paper
Perverse schobers and birational geometry2018-04-10Paper
Fourier transform on hyperplane arrangements2017-12-20Paper
The Hall algebra of a curve2017-02-07Paper
Microlocal sheaves and quiver varieties2016-11-15Paper
Crossed simplicial groups and structured surfaces2016-09-02Paper
Perverse sheaves over real hyperplane arrangements2016-04-29Paper
Perverse sheaves and graphs on surfaces2016-01-08Paper
Spherical Hall Algebra of $$\overline{\text{Spec }(\mathbb{Z})}$$2015-07-23Paper
Membranes and higher groupoids2015-02-21Paper
Perverse Schobers2014-11-11Paper
Symmetric and exterior powers of categories2014-09-18Paper
In memoriam: Andrei Zelevinsky (1953--2013)2014-09-18Paper
Real mixed Hodge structures2012-06-12Paper
Thermodynamics and the moment map2011-08-17Paper
Supersymmetry and the formal loop space2011-06-14Paper
Riemann–Roch for Real Varieties2010-09-24Paper
Noncommutative Geometry and Path Integrals2010-09-02Paper
Virtual fundamental classes via dg-manifolds2009-03-19Paper
Formal loops. III. Additive functions and the Radon transform2008-11-12Paper
https://portal.mardi4nfdi.de/entity/Q54596592008-04-29Paper
Discriminants, resultants, and multidimensional determinants2008-03-12Paper
Free Lie algebroids and the space of paths2008-03-05Paper
Representation and character theory in 2-categories2008-03-05Paper
Formal loops II: A local Riemann–Roch theorem for determinantal gerbes2007-07-11Paper
Non-archimedean amoebas and tropical varieties2007-05-10Paper
Formal loops IV: Chiral differential operators2006-12-13Paper
Toric arc schemes and quantum cohomology of toric varieties2006-08-16Paper
Vertex algebras and the formal loop space2005-03-03Paper
Derived quot schemes2003-08-17Paper
Modules and Morita theorem for operads2002-12-10Paper
Kleinian singularities, derived categories and Hall algebras2002-10-22Paper
Derived Hilbert schemes2002-08-07Paper
Injective resolutions of \(BG\) and derived moduli spaces of local systems2001-11-06Paper
Hypergeometric functions on reductive groups2001-04-01Paper
https://portal.mardi4nfdi.de/entity/Q45247252001-03-07Paper
Invitation to higher local fields, Part II, section 5: Harmonic analysis on algebraic groups over two-dimensional local fields of equal characteristic2000-12-17Paper
Double affine Hecke algebras and 2-dimensional local fields2000-11-21Paper
The Gauss map and a noncompact Riemann-Roch formula for constructible sheaves on semiabelian varieties2000-11-16Paper
https://portal.mardi4nfdi.de/entity/Q42272572000-03-13Paper
Noncommutative geometry based on commutator expansions1999-08-19Paper
Rozansky-Witten invariants via Atiyah classes1999-05-26Paper
Heisenberg doubles and derived categories1999-04-15Paper
Langlands reciprocity for algebraic surfaces1999-04-14Paper
Eisenstein series and quantum affine algebras1999-03-25Paper
Modular operads1998-08-13Paper
Operads and algebraic geometry1998-08-06Paper
Residue construction of Hecke algebras1998-03-19Paper
https://portal.mardi4nfdi.de/entity/Q56888761998-03-08Paper
https://portal.mardi4nfdi.de/entity/Q48727601996-11-27Paper
Koszul duality for operads1996-05-06Paper
Erratum to ``Koszul duality for operads1996-03-04Paper
https://portal.mardi4nfdi.de/entity/Q42797841996-01-08Paper
A higher-dimensional generalization of the Goss zeta function1995-08-31Paper
Chow quotients of Grassmannian I1995-04-17Paper
https://portal.mardi4nfdi.de/entity/Q43082371995-03-28Paper
Schur quadrics, cubic surfaces and rank 2 vector bundles over the projective plane1995-03-23Paper
Arrangements of hyperplanes and vector bundles on \(\mathbb{P}^ n\)1995-01-22Paper
A correction to the paper ``Hypergeometric functions and toric varieties1994-12-05Paper
Cellular Strings on Polytopes1994-11-16Paper
https://portal.mardi4nfdi.de/entity/Q42935101994-05-26Paper
Braided monoidal 2-categories and Manin-Schechtman higher braid groups1994-04-04Paper
https://portal.mardi4nfdi.de/entity/Q42021531993-08-31Paper
Hyperdeterminants1993-06-29Paper
The permutoassociahedron, Mac Lane's coherence theorem and asymptotic zones for the KZ equation1993-06-29Paper
https://portal.mardi4nfdi.de/entity/Q46937841993-06-29Paper
Chow polytopes and general resultants1992-12-14Paper
https://portal.mardi4nfdi.de/entity/Q40120421992-09-27Paper
Quotients of toric varieties1992-06-28Paper
https://portal.mardi4nfdi.de/entity/Q39865391992-06-27Paper
https://portal.mardi4nfdi.de/entity/Q39865401992-06-27Paper
Generalized Euler integrals and \(A\)-hypergeometric functions1992-06-25Paper
Mutations and Serre functors on constructive bundles1992-06-25Paper
Free \(n\)-category generated by a cube, oriented matroids, and higher Bruhat orders1992-06-25Paper
https://portal.mardi4nfdi.de/entity/Q39724711992-06-25Paper
https://portal.mardi4nfdi.de/entity/Q47119421992-06-25Paper
https://portal.mardi4nfdi.de/entity/Q47129081992-06-25Paper
A characterization of A-discriminantal hypersurfaces in terms of logarithmic Gauss map1991-01-01Paper
ENHANCED TRIANGULATED CATEGORIES1991-01-01Paper
∞-Groupoids as a model for a homotopy category1990-01-01Paper
Discriminants of polynomials in several variables1990-01-01Paper
Newton polytopes of the classical resultant and discriminant1990-01-01Paper
https://portal.mardi4nfdi.de/entity/Q32031261990-01-01Paper
REPRESENTABLE FUNCTORS, SERRE FUNCTORS, AND MUTATIONS1990-01-01Paper
https://portal.mardi4nfdi.de/entity/Q57510521990-01-01Paper
Non-holonomic \({\mathcal D}\)-modules and non-constructible perverse sheaves1989-01-01Paper
Hypergeometric functions and toric varieties1989-01-01Paper
https://portal.mardi4nfdi.de/entity/Q32022411989-01-01Paper
ON THE DERIVED CATEGORY ANDK-FUNCTOR OF COHERENT SHEAVES ON INTERSECTIONS OF QUADRICS1989-01-01Paper
On the derived categories of coherent sheaves on some homogeneous spaces1988-01-01Paper
ON CUSPIDAL DIVISORS ON THE MODULAR VARIETIES OF ELLIPTIC MODULES1988-01-01Paper
https://portal.mardi4nfdi.de/entity/Q38193271988-01-01Paper
https://portal.mardi4nfdi.de/entity/Q30309341987-01-01Paper
The derived category of coherent sheaves on a quadric1986-01-01Paper
The twistor transformation and algebraic-geometric constructions of solutions of the equations of field theory1986-01-01Paper
ON THE DERIVED CATEGORY OF COHERENT SHEAVES ON GRASSMANN MANIFOLDS1985-01-01Paper
Derived category of coherent sheaves on Grassmann manifolds1983-01-01Paper
Derived category of coherent sheaves on Grassmann varieties1983-01-01Paper

Research outcomes over time


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