Reduced Open Gromov-Witten Invariants on K3 Surfaces and Multiple Cover Formula
Yu-Shen Lin
TL;DR
This paper investigates the wall-crossing behavior of reduced open Gromov-Witten invariants on K3 surfaces with specific boundary conditions and derives a multiple cover formula as a key result.
Contribution
It introduces a new understanding of wall-crossing phenomena and establishes a multiple cover formula for reduced open Gromov-Witten invariants on K3 surfaces.
Findings
Wall-crossing behavior characterized for reduced open Gromov-Witten invariants.
Derived a multiple cover formula for these invariants.
Provides insights into enumerative geometry of K3 surfaces.
Abstract
In the paper, we study the wall-crossing phenomenon of reduced open Gromov-Witten invariants on K3 surfaces with rigid special Lagrangian boundary condition. As a corollary, we derived the multiple cover formula for the reduced open Gromov-Witten invariants.
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Taxonomy
TopicsGeometric and Algebraic Topology · Algebraic Geometry and Number Theory · Finite Group Theory Research