Symplectic virtual localization of Gromov-Witten invariants

Abstract

We show that moduli spaces of stable maps admits virtual orbifold structure. The symplectic version of virtual localization formula is obtained.

62 pages

References in corpus (4)

• Virtual moduli cycles and Gromov-Witten invariants of general symplectic manifolds
• Higher genus symplectic invariants and sigma model coupled with gravity
• Transformation of algebraic Gromov-Witten invariants of three-folds under flops and small extremal transitions, with an appendix from the stringy and the symplectic viewpoint
• Virtual Manifolds and Localization

Cited by in corpus (6)

• Relative orbifold Gromov-Witten theory and degeneration formula
• Orbifold Gromov--Witten theory of weighted blowups
• Ruan's Conjecture on Singular symplectic flops
• Virtual Manifolds and Localization
• Weighted blowup correspondence of orbifold Gromov--Witten invariants and applications
• A Product Formula for Gromov-Witten Invariants