Relative orbifold Gromov-Witten theory and degeneration formula

2011/10/31 by Bohui Chen, An-Min Li, Chen, Bohui +3
Mathematics · #53D45 #55N32 #57R18 #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.1110.6803

openalex publication_date 2011/10/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Relative orbifold Gromov-Witten theory is set-up and the degeneration formula is given.

Citations

• Multiple covers and the integrality conjecture for rational curves in Calabi-Yau threefolds
• Polyfolds And A General Fredholm Theory
• Symplectic virtual localization of Gromov-Witten invariants
• Virtual neighborhoods and pseudo-holomorphic curves

Related

• Orbifold techniques in degeneration formulas
• Comparison theorems for Gromov-Witten invariants of smooth pairs and of degenerations
• Remark on symplectic relative Gromov-Witten invariants and degeneration formula
• Lecture Notes on Relative Gromov-Witten Invariants
• Orbifold Gromov-Witten Theory