Maxim Kontsevich
- Stability structures, motivic Donaldson-Thomas invariants and cluster transformations
2008/11/16 by Maxim Kontsevich, Kontsevich, Maxim, Yan Soibelman +1 · 60 citations
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Category Theory (math.CT) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th)
- Wick rotation and the positivity of energy in quantum field theory
2021/05/21 by Maxim Kontsevich, Graeme Segal, Kontsevich, Maxim +1 · 1 voice · 11 citations
Mathematics · Physics and Astronomy · #46G20 (Secondary) #81T05 (Primary) 81T20 #Complex Variables (math.CV) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #hep-th #math-ph #math.CV
- Enumeration of rational curves via torus actions
1994/05/05 by Maxim Kontsevich, Kontsevich, M. · 8 citations
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Polynomial and algebraic computation
- Homological mirror symmetry and torus fibrations
2000/11/07 by Maxim Kontsevich, Yan Soibelman, Kontsevich, Maxim +1 · 6 citations
Mathematics · Physics and Astronomy · #14J32 #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Symplectic Geometry (math.SG) #hep-th #math-ph #math.AG #math.DG #math.MP #math.QA #math.SG #msc:14J32
- Automorphisms of the Weyl Algebra
2005/11/01 by Alexei Belov-Kanel, Maxim Kontsevich · 6 citations
- Deformations of algebras over operads and Deligne's conjecture
2000/01/26 by Maxim Kontsevich, Kontsevich, Maxim, Yan Soibelman +1 · 8 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #hep-th #math.AG #math.AT #math.CT #math.QA #math.RA #msc:16S80 #msc:18D50 #msc:55P48
- Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants
2010/06/14 by Maxim Kontsevich, Yan Soibelman, Kontsevich, Maxim +1 · 7 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th)
- Affine structures and non-archimedean analytic spaces
2004/06/28 by Maxim Kontsevich, Yan Soibelman, Kontsevich, Maxim +1 · 5 citations
Mathematics · #14G22 #14J32 #37J35 #Advanced Banach Space Theory #Algebraic Geometry (math.AG) #FOS: Mathematics #Symplectic Geometry (math.SG) #math.AG #math.SG #msc:14G22 #msc:14J32 #msc:37J35
- Hodge theoretic aspects of mirror symmetry
2008/05/31 by Ludmil Katzarkov, Maxim Kontsevich, Katzarkov, L. +3 · 5 citations
Mathematics · #Algebraic structures and combinatorial models #Advanced Algebra and Geometry #Homotopy and Cohomology in Algebraic Topology
- Specialization of birational types
2017/08/18 by Maxim Kontsevich, Yuri Tschinkel, Kontsevich, Maxim +1 · 6 citations
Mathematics · Computer Science · #Algebraic Geometry and Number Theory #Polynomial and algebraic computation #Advanced Algebra and Geometry
- Airy structures and symplectic geometry of topological recursion
2017/01/31 by Maxim Kontsevich, Yan Soibelman, Kontsevich, Maxim +1 · 5 citations
Mathematics · #14H70 #Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Mathematics and Applications #Quantum Algebra (math.QA) #Symplectic Geometry (math.SG)
- Wick Rotation and the Positivity of Energy in Quantum Field Theory
2021/05/10 by Maxim Kontsevich, Graeme Segal · 4 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Geometric Analysis and Curvature Flows #Noncommutative and Quantum Gravity Theories
- Holomorphic Floer theory I: exponential integrals in finite and infinite dimensions
2024/02/12 by Maxim Kontsevich, Kontsevich, Maxim, Yan Soibelman +1 · 7 citations
Mathematics · #14 #51 #81 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #FOS: Physical sciences #Geometric and Algebraic Topology #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Quantum Physics (quant-ph) #Symplectic Geometry (math.SG)
- Pre-Calabi-Yau algebras and topological quantum field theories
2021/12/29 by Maxim Kontsevich, Alex Takeda, Kontsevich, Maxim +3 · 4 citations
Mathematics · #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #FOS: Physical sciences #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph)
- On Poly(ana)logs I
2000/08/11 by Philippe Elbaz-Vincent, Philippe Elbaz–Vincent, Herbert Gangl +4 · 1 citation
Computer Science · Mathematics · #11T99 #19F15 #33B99 #Advanced Database Systems and Queries #FOS: Mathematics #K-Theory and Homology (math.KT) #Number Theory (math.NT) #math.KT #math.NT #msc:11T99 #msc:19F15 #msc:33B99
- Wall-crossing structures in Donaldson-Thomas invariants, integrable systems and Mirror Symmetry
2013/03/13 by Maxim Kontsevich, Yan Soibelman, Kontsevich, Maxim +1 · 2 citations
Mathematics · Physics and Astronomy · Chemistry · #Advanced Algebra and Geometry #Nonlinear Waves and Solitons #Molecular spectroscopy and chirality
- Smooth Calabi-Yau structures and the noncommutative Legendre transform
2023/01/04 by Maxim Kontsevich, Alex Takeda, Kontsevich, Maxim +3 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #FOS: Physical sciences #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph)
- Iterated logarithms and gradient flows
2018/02/12 by Fabian Haiden, Haiden, Fabian, Ludmil Katzarkov +5 · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Representation Theory (math.RT)
- Analyticity and resurgence in wall-crossing formulas
2020/05/21 by Maxim Kontsevich, Yan Soibelman, Kontsevich, Maxim +1 · 1 citation
Mathematics · #Advanced Topics in Algebra #Homotopy and Cohomology in Algebraic Topology #Algebraic structures and combinatorial models