On Gromov-Witten theory of projective bundles

Abstract

Given two equivariant vector bundles over an algebraic GKM manifold with the same equivariant Chern classes, we show that the genus zero equivariant Gromov--Witten theory of their projective bundles are naturally isomorphic.

19 pages, 4 sections. To appear in Mich. Math. J

References in corpus (3)

• Virasoro Constraints for Toric Bundles
• Gromov-- Witten Invariants of Toric Fibrations
• Gromov-Witten invariants for varieties with C* action

Cited by in corpus (2)

• Towards a quantum Lefschetz hyperplane theorem in all genera
• A quantum splitting principle and an application