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Symmetry, Integrability and Geometry: Methods and Applications, 2017, Volume 13, 048, 21 pp.
DOI: https://doi.org/10.3842/SIGMA.2017.048 (Mi sigma1248) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Equivariant Gromov–Witten Invariants of Algebraic GKM Manifolds

Chiu-Chu Melissa Liua, Artan Sheshmanibc

a Department of Mathematics, Columbia University, 2990 Broadway, New York, NY 10027, USA
b Aarhus University, Department of Mathematics, QGM, Ny Munkegade 118, 8000 Aarhus, Denmark
c Harvard University, Department of Mathematics (CMSA), 20 Garden Street, Cambridge, MA, 02138, USA
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DOI: https://doi.org/10.3842/SIGMA.2017.048
Abstract: An algebraic GKM manifold is a non-singular algebraic variety equipped with an algebraic action of an algebraic torus, with only finitely many torus fixed points and finitely many 1-dimensional orbits. In this expository article, we use virtual localization to express equivariant Gromov–Witten invariants of any algebraic GKM manifold (which is not necessarily compact) in terms of Hodge integrals over moduli stacks of stable curves and the GKM graph of the GKM manifold.
Keywords: Gromov–Witten theory; GKM manifold; moduli space; equivariant cohomology; localization.
Funding agency Grant number
National Science Foundation DMS-1206667
DMS-1159416
This work is partially supported by NSF DMS-1159416 and NSF DMS-1206667.
Received: January 16, 2017; in final form June 21, 2017; Published online July 1, 2017
Bibliographic databases:
Document Type: Article
MSC: 14C05; 14D20; 14F05; 14J30; 14N10
Language: English
Citation: Chiu-Chu Melissa Liu, Artan Sheshmani, “Equivariant Gromov–Witten Invariants of Algebraic GKM Manifolds”, SIGMA, 13 (2017), 048, 21 pp.
Citation in format AMSBIB
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\by Chiu-Chu~Melissa~Liu, Artan~Sheshmani
\paper Equivariant Gromov--Witten Invariants of Algebraic GKM Manifolds
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\totalpages 21
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    • This publication is cited in the following 2 articles:
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    		Symmetry, Integrability and Geometry: Methods and Applications
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