Degree One Contributions and Open Gromov-Witten Invariants
Sarah McConnell
TL;DR
This paper introduces a method to define degree one contributions to open Gromov-Witten invariants by constructing explicit sections of obstruction bundles, extending algebraic techniques to bordered domains.
Contribution
It provides a new approach to compute degree one contributions to open Gromov-Witten invariants using explicit obstruction bundle sections.
Findings
Defined degree one contributions for open Gromov-Witten invariants
Extended algebraic techniques to bordered domains
Constructed explicit sections of obstruction bundles
Abstract
We show that it is possible to define the contribution of degree one covers of a disk to open Gromov-Witten invariants. We build explicit sections of obstruction bundles in order to extend the algebro-geometric techniques of Pandharipande to the case of domains with boundary.
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Taxonomy
TopicsGeometric and Algebraic Topology · Algebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology