Soibelman, Yan
- Stability structures, motivic Donaldson-Thomas invariants and cluster transformations
2008/11/16 by Maxim Kontsevich, Kontsevich, Maxim, Yan Soibelman +1 · 123 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) #hep-th #math.AG #math.CT
- Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants
2010/06/14 by Maxim Kontsevich, Kontsevich, Maxim, Yan Soibelman +1 · 18 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)
- Deformations of algebras over operads and Deligne's conjecture
2000/01/26 by Maxim Kontsevich, Kontsevich, Maxim, Yan Soibelman +1 · 17 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
- Homological mirror symmetry and torus fibrations
2000/11/07 by Maxim Kontsevich, Kontsevich, Maxim, Yan Soibelman +1 · 7 citations
Mathematics · Physics and Astronomy · #14J32 #Advanced Operator Algebra Research #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #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 Algebra (math.QA) #Symplectic Geometry (math.SG) #hep-th #math-ph #math.AG #math.DG #math.MP #math.QA #math.SG #msc:14J32
- Airy structures and symplectic geometry of topological recursion
2017/01/31 by Maxim Kontsevich, Kontsevich, Maxim, Yan Soibelman +1 · 7 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)
- Affine structures and non-archimedean analytic spaces
2004/06/28 by Maxim Kontsevich, Kontsevich, Maxim, Yan Soibelman +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
- Mirror symmetry and deformation quantization
2002/02/20 by Paul Bressler, Bressler, Paul, Yan Soibelman +1 · 6 citations
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #Symplectic Geometry (math.SG) #hep-th #math.DG #math.QA #math.SG
- Cohomological Hall algebras, semicanonical bases and Donaldson-Thomas invariants for 2-dimensional Calabi-Yau categories (with an appendix by Ben Davison)
2015/08/25 by Jie Ren, Ren, Jie, Yan Soibelman +1 · 3 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Algebra (math.QA) #Representation Theory (math.RT)
- Meromorphic tensor categories
1997/09/19 by Yan Soibelman, Soibelman, Yan · 4 citations
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #math.QA #q-alg
- 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)
- Spherical adjunctions of stable ∞-categories and the relative S-construction
2021/06/05 by Tobias Dyckerhoff, Mikhail Kapranov, Dyckerhoff, Tobias +5 · 3 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
- Cohomological Hall algebras and perverse coherent sheaves on toric Calabi-Yau 3-folds
2020/07/27 by Miroslav Rapčák, Rapcak, Miroslav, Yan Soibelman +5 · 2 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Algebra (math.QA) #Representation Theory (math.RT)
- Wall-crossing structures in Donaldson-Thomas invariants, integrable systems and Mirror Symmetry
2013/03/13 by Maxim Kontsevich, Kontsevich, Maxim, Yan Soibelman +1 · 3 citations
Mathematics · Physics and Astronomy · Chemistry · #Advanced Algebra and Geometry #Nonlinear Waves and Solitons #Molecular spectroscopy and chirality
- Motivic Donaldson-Thomas invariants: summary of results
2009/10/22 by Maxim Kontsevich, Kontsevich, Maxim, Yan Soibelman +1 · 1 citation
Mathematics · Physics and Astronomy · #14J32 #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Rings and Algebras (math.RA) #Symplectic Geometry (math.SG) #hep-th #math.AG #math.CV #math.RA #math.SG #msc:14J32
- Analyticity and resurgence in wall-crossing formulas
2020/05/21 by Maxim Kontsevich, Kontsevich, Maxim, Yan Soibelman +1 · 2 citations
Mathematics · #Advanced Topics in Algebra #Homotopy and Cohomology in Algebraic Topology #Algebraic structures and combinatorial models
- Remarks on Cohomological Hall algebras and their representations
2014/04/06 by Soibelman, Yan · 1 citation
#06B15 #Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Symplectic Geometry (math.SG)
- On 2d-4d motivic wall-crossing formulas
2017/11/10 by Gabriel Kerr, Kerr, Gabriel, Yan Soibelman +1 · 1 citation
Computer Science · Mathematics · #14N35 #18E30 #53D37 #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Polynomial and algebraic computation #Symplectic Geometry (math.SG)
- Motivic classes of irregular Higgs bundles and irregular connections on a curve
2024/04/22 by Fedorov, Roman, Soibelman, Alexander, Soibelman, Yan · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #K-Theory and Homology (math.KT) #Mathematical Physics (math-ph) #Symplectic Geometry (math.SG)
- Algebra of the infrared and secondary polytopes
2014/08/12 by Mikhail Kapranov, Maxim Kontsevich, Kapranov, Mikhail +3 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG)