Evidence for the Gromov-Witten/Donaldson-Thomas Correspondence

2005/09/30 by Amin Gholampour, Gholampour, Amin, Yinan Song +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.math/0510006

openalex publication_date 2005/09/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the equivariant Gromov-Witten and Donaldson-Thomas theories of P²-bundles over curves. We show the equivariant GW/DT correspondence holds to first order for certain curve classes

Related

• Gromov-Witten theory and Donaldson-Thomas theory, II
• Gromov-Witten theory and Donaldson-Thomas theory, I
• Equivariant Open Gromov-Witten Theory of ℝℙ^2m \hookrightarrow ℂℙ^2m
• On the equivariant Gromov-Witten Theory of P²-bundles over curves
• Chern classes and Gromov--Witten theory of projective bundles