Cubic Extremal Transition and Gromov-Witten Theory

2017/11/29 by Rongxiao Mi, Mi, Rongxiao
Mathematics · #14J32 #14N35 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #FOS: Physical sciences #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.1711.11014

openalex publication_date 2017/11/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article, we study the change of genus zero Gromov-Witten invariants under cubic extremal transitions, following Lee-Lin-Wang [arXiv:1705.04799]. We use the language of quantum D-modules.

Citations

• Quantum Cohomology under Birational Maps and Transitions
• The Crepant Resolution Conjecture for Type A Surface Singularities
• Asymptotic Expansion and the LG/(Fano, General Type) Correspondence
• Towards A + B theory in conifold transitions for Calabi-Yau threefolds

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