Equivariant Gromov-Witten invariants of algebraic GKM manifolds
CCM Liu, A Sheshmani - SIGMA. Symmetry, Integrability and Geometry …, 2017 - emis.de
CCM Liu, A Sheshmani
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications, 2017•emis.deAn 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.
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.
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.
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