# zbMATH — the first resource for mathematics

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 Documents Indexed: 20 Publications since 1992, including 2 Books
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#### Co-Authors

 10 single-authored 4 Hausel, Tamás 3 Bertram, Aaron 2 Abramovich, Dan 2 Katzarkov, Ludmil 2 Martens, Johan 2 Pandharipande, Rahul 1 Atanasov, Atanas 1 Lopez, Christopher 1 Perry, Alexander R. 1 Proudfoot, Nicholas J.
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#### Serials

 2 Inventiones Mathematicae 2 Journal of the American Mathematical Society 2 Proceedings of Symposia in Pure Mathematics 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Journal of Differential Geometry 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Proceedings of the London Mathematical Society. Third Series 1 Topology 1 IMRN. International Mathematics Research Notices 1 Experimental Mathematics 1 Transformation Groups 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
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#### Fields

 17 Algebraic geometry (14-XX) 7 Several complex variables and analytic spaces (32-XX) 6 Differential geometry (53-XX) 3 Manifolds and cell complexes (57-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 General and overarching topics; collections (00-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Algebraic topology (55-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Convex and discrete geometry (52-XX)

#### Citations contained in zbMATH Open

18 Publications have been cited 354 times in 312 Documents Cited by Year
Geometric invariant theory and flips. Zbl 0874.14042
1996
Stable pairs, linear systems and the Verlinde formula. Zbl 0882.14003
1994
Mirror symmetry, Langlands duality, and the Hitchin system. Zbl 1043.14011
2003
Conformal field theory and the cohomology of the moduli space of stable bundles. Zbl 0772.53013
1992
Complete collineations revisited. Zbl 0986.14030
1999
Variation of moduli of parabolic Higgs bundles. Zbl 0995.14011
2002
Generators for the cohomology ring of the moduli space of rank 2 Higgs bundles. Zbl 1060.14048
2004
On the quantum cohomology of a symmetric product of an algebraic curve. Zbl 1050.14052
2001
Mirror symmetry, Langlands duality, and commuting elements of Lie groups. Zbl 1074.14511
2001
Compactifications of reductive groups as moduli stacks of bundles. Zbl 1390.14043
2016
Relations in the cohomology ring of the moduli space of rank 2 Higgs bundles. Zbl 1015.14018
2003
Resolving toric varieties with Nash blowups. Zbl 1266.14039
Atanasov, Atanas; Lopez, Christopher; Perry, Alexander; Proudfoot, Nicholas; Thaddeus, Michael
2011
A perfect Morse function on the moduli space of flat connections. Zbl 0953.58010
2000
An introduction to the topology of the moduli space of stable bundles on a Riemann surface. Zbl 0869.58006
1997
Floer cohomology with gerbes. Zbl 1158.53069
2008
Examples of mirror partners arising from integrable systems. Zbl 1009.14005
2001
Toric quotients and flips. Zbl 0887.14028
1994
On non-Abelian symplectic cutting. Zbl 1260.53129
2012
Compactifications of reductive groups as moduli stacks of bundles. Zbl 1390.14043
2016
On non-Abelian symplectic cutting. Zbl 1260.53129
2012
Resolving toric varieties with Nash blowups. Zbl 1266.14039
Atanasov, Atanas; Lopez, Christopher; Perry, Alexander; Proudfoot, Nicholas; Thaddeus, Michael
2011
Floer cohomology with gerbes. Zbl 1158.53069
2008
Generators for the cohomology ring of the moduli space of rank 2 Higgs bundles. Zbl 1060.14048
2004
Mirror symmetry, Langlands duality, and the Hitchin system. Zbl 1043.14011
2003
Relations in the cohomology ring of the moduli space of rank 2 Higgs bundles. Zbl 1015.14018
2003
Variation of moduli of parabolic Higgs bundles. Zbl 0995.14011
2002
On the quantum cohomology of a symmetric product of an algebraic curve. Zbl 1050.14052
2001
Mirror symmetry, Langlands duality, and commuting elements of Lie groups. Zbl 1074.14511
2001
Examples of mirror partners arising from integrable systems. Zbl 1009.14005
2001
A perfect Morse function on the moduli space of flat connections. Zbl 0953.58010
2000
Complete collineations revisited. Zbl 0986.14030
1999
An introduction to the topology of the moduli space of stable bundles on a Riemann surface. Zbl 0869.58006
1997
Geometric invariant theory and flips. Zbl 0874.14042
1996
Stable pairs, linear systems and the Verlinde formula. Zbl 0882.14003
1994
Toric quotients and flips. Zbl 0887.14028
1994
Conformal field theory and the cohomology of the moduli space of stable bundles. Zbl 0772.53013
1992
all top 5

#### Cited by 370 Authors

 31 Advances in Mathematics 21 International Journal of Mathematics 14 Communications in Mathematical Physics 13 Journal of Geometry and Physics 11 Inventiones Mathematicae 10 Mathematische Annalen 9 Duke Mathematical Journal 9 Mathematische Zeitschrift 9 Transactions of the American Mathematical Society 8 Compositio Mathematica 8 Journal of Algebra 8 Journal of the American Mathematical Society 8 Journal of High Energy Physics 7 Geometriae Dedicata 6 Journal of Pure and Applied Algebra 6 Journal für die Reine und Angewandte Mathematik 5 Communications in Algebra 5 Nuclear Physics. B 5 Selecta Mathematica. New Series 5 Geometry & Topology 4 Michigan Mathematical Journal 4 Proceedings of the American Mathematical Society 4 Topology and its Applications 4 Transformation Groups 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Letters in Mathematical Physics 3 Annales de l’Institut Fourier 3 Journal of the Mathematical Society of Japan 3 Revista Matemática Complutense 3 Algebraic & Geometric Topology 3 European Journal of Mathematics 2 Journal of Mathematical Physics 2 Glasgow Mathematical Journal 2 Mathematische Nachrichten 2 Tohoku Mathematical Journal. Second Series 2 Annals of Global Analysis and Geometry 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Journal of Algebraic Geometry 2 Representation Theory 2 Annals of Mathematics. Second Series 2 Journal of the European Mathematical Society (JEMS) 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Algebra & Number Theory 2 Kyoto Journal of Mathematics 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Journal of Mathematical Analysis and Applications 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 Beiträge zur Algebra und Geometrie 1 Canadian Journal of Mathematics 1 Functional Analysis and its Applications 1 Publications Mathématiques 1 Journal of the London Mathematical Society. Second Series 1 Manuscripta Mathematica 1 Nagoya Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Seminario Matematico della Università di Padova 1 Advances in Applied Mathematics 1 Chinese Annals of Mathematics. Series B 1 International Journal of Algebra and Computation 1 Differential Geometry and its Applications 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Experimental Mathematics 1 Bulletin des Sciences Mathématiques 1 Electronic Research Announcements of the American Mathematical Society 1 Acta Mathematica Sinica. English Series 1 Central European Journal of Mathematics 1 Journal of Algebra and its Applications 1 International Journal of Geometric Methods in Modern Physics 1 Journal of Fixed Point Theory and Applications 1 Journal of Physics A: Mathematical and Theoretical 1 Journal of $$K$$-Theory 1 Japanese Journal of Mathematics. 3rd Series 1 Science China. Mathematics 1 Journal of Singularities 1 Forum of Mathematics, Sigma 1 Journal de l’École Polytechnique – Mathématiques 1 Complex Manifolds 1 SIAM Journal on Applied Algebra and Geometry 1 Algebraic Combinatorics
 252 Algebraic geometry (14-XX) 58 Differential geometry (53-XX) 43 Quantum theory (81-XX) 40 Several complex variables and analytic spaces (32-XX) 25 Manifolds and cell complexes (57-XX) 21 Associative rings and algebras (16-XX) 17 Group theory and generalizations (20-XX) 17 Global analysis, analysis on manifolds (58-XX) 13 Category theory; homological algebra (18-XX) 12 Commutative algebra (13-XX) 11 Topological groups, Lie groups (22-XX) 7 Combinatorics (05-XX) 7 Number theory (11-XX) 7 Convex and discrete geometry (52-XX) 6 Functions of a complex variable (30-XX) 5 Nonassociative rings and algebras (17-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Algebraic topology (55-XX) 2 $$K$$-theory (19-XX) 2 Special functions (33-XX) 2 Mechanics of particles and systems (70-XX) 2 Relativity and gravitational theory (83-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX)