2006/09/18 by Chien-Hao Liu, Shing-Tung Yau, Liu, Chien-Hao +1
Mathematics · Physics and Astronomy · #14N35 #53D45 #81T30 #Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Symplectic Geometry (math.SG) #hep-th #math.AG #math.SG #msc:14N35 #msc:53D45 #msc:81T30
paper · pdf · doi:10.48550/arxiv.math/0609483
102+2 pages
arxiv created 2006/09/18 · arxiv updated 2009/12/01
We study the degeneration and the gluing of Kuranishi structures in Gromov-Witten theory under a symplectic cut. This leads us to a degeneration axiom and a gluing axiom for open Gromov-Witten invariants. They provide then a route to the construction of virtual fundamental chains via specialization. Comments on the equivalence of the degeneration formula of closed Gromov-Witten invariants by Li-Ruan/Li versus Ionel-Parker are given in the Appendix.