On Gromov-Witten theory of projective bundles

2016/07/04 by Honglu Fan, Fan, Honglu, Yuan-Pin Lee +1
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1607.00740

openalex publication_date 2016/07/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Gromov-Witten invariants for varieties with C* action
• Invariance of Quantum Rings under Ordinary Flops II: A quantum Leray--Hirsch theorem

Related

• Chern classes and Gromov--Witten theory of projective bundles
• Gromov--Witten theory beyond maximal contacts
• Equivariant Gromov-Witten Theory of GKM Orbifolds
• Evidence for the Gromov-Witten/Donaldson-Thomas Correspondence
• Computations in equivariant Gromov-Witten theory of GKM spaces