Equivariant Gromov–Witten Invariants of Algebraic GKM Manifolds

Chiu-Chu Melissa Liu ; Artan Sheshmani

Symmetry, integrability and geometry: methods and applications, Tome 13 (2017)

Résumé

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.

Détail

Keywords: Gromov–Witten theory; GKM manifold; moduli space; equivariant cohomology; localization.

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