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Keyword

enumerative geometry

Description: A branch of algebraic geometry that studies counting problems involving geometric objects satisfying specified conditions.
Wikidata ID: wiki/Q2429676
OpenAlex ID: keywords/enumerative-geometry
Intersection theory on the moduli space of curves and the matrix airy function
1992 · Maxim Kontsevich · Communications in Mathematical Physics · 1,472
Two-dimensional gravity and intersection theory on moduli space
1990 · E. Witten · Surveys in Differential Geometry · 1,290
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Gromov-Witten classes, quantum cohomology, and enumerative geometry
1994 · Kontsevich, M., Manin, Yu. · 809
Invariants of algebraic curves and topological expansion
2007 · B. Eynard, N. Orantin · Communications in Number Theory and Physics · 744
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Localization of virtual classes
1999 · T. Graber, R. Pandharipande · Inventiones mathematicae · 678
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The Euler characteristic of the moduli space of curves
1986 · J. Harer, D. Zagier · Inventiones mathematicae · 670
Towards an Enumerative Geometry of the Moduli Space of Curves
1983 · David Mumford · Birkhäuser Boston eBooks · 661
Notes on stable maps and quantum cohomology
1997 · W. Fulton, R. Pandharipande · Proceedings of symposia in pure mathematics · 601
Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties
1998 · Jun Li, Gang Tian · Journal of the American Mathematical Society · 547
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Untitled
1996 · Alexander Givental · International Mathematics Research Notices · 534
Frobenius Manifolds, Quantum Cohomology, and Moduli Spaces
1999 · Yuri Manin · Colloquium Publications - American Mathematical Society/Colloquium Publications · 522
Enumeration of Rational Curves Via Torus Actions
1995 · Maxim Kontsevich · Birkhäuser Boston eBooks · 518
Hodge integrals and Gromov-Witten theory
2000 · C. Faber, R. Pandharipande · Inventiones mathematicae · 500
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Gromov-Witten classes, quantum cohomology, and enumerative geometry
1994 · M. Kontsevich, Yu. Manin · Communications in Mathematical Physics · 486
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A mathematical theory of quantum cohomology
1995 · Yongbin Ruan, Gang Tian · Journal of Differential Geometry · 467
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Gromov–Witten theory and Donaldson–Thomas theory, I
2006 · D. Maulik, N. Nekrasov, et al. · Compositio Mathematica · 464
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Gromov-Witten theory of Deligne-Mumford stacks
2008 · Dan Abramovich, Tom Graber, et al. · American Journal of Mathematics · 390
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Gromov-Witten invariants in algebraic geometry
1997 · K. Behrend · Inventiones mathematicae · 384
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Symplectic surgery and Gromov-Witten invariants of Calabi-Yau 3-folds
2001 · An-Min Li, Yongbin Ruan · Inventiones mathematicae · 367
The Betti numbers of the Hilbert scheme of points on a smooth projective surface
1990 · Lothar Göttsche · Mathematische Annalen · 360
Gromov–Witten theory, Hurwitz theory, and completed cycles
2006 · Andrei Okounkov, Rahul Pandharipande · Annals of Mathematics · 357
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A theory of generalized Donaldson–Thomas invariants
2011 · Dominic Joyce, Yinan Song · Memoirs of the American Mathematical Society · 348
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3264 and All That
2016 · David Eisenbud, Joe Harris · Cambridge University Press eBooks · 337
Orbifold Gromov-Witten theory
2002 · Weimin Chen, Yongbin Ruan · Contemporary mathematics - American Mathematical Society · 325
Combinatorial geometries, convex polyhedra, and schubert cells
1987 · I.M Gelfand, R.M Goresky, et al. · Advances in Mathematics · 325
Works count: 4,578
Citation count: 53,670
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