Localization in Gromov-Witten Theory and Orbifold Gromov-Witten Theory
Chiu-Chu Melissa Liu
TL;DR
This paper explains how to apply localization techniques to compute Gromov-Witten invariants for smooth toric varieties and orbifold Gromov-Witten invariants for smooth toric Deligne-Mumford stacks, providing a practical computational approach.
Contribution
It offers an expository overview of localization methods specifically tailored for Gromov-Witten invariants in the context of toric varieties and stacks, clarifying their computation.
Findings
Provides explicit localization formulas for Gromov-Witten invariants.
Demonstrates computation methods for orbifold Gromov-Witten invariants.
Clarifies the use of localization in the context of toric geometry.
Abstract
In this expository article, we explain how to use localization to compute Gromov-Witten invariants of smooth toric varieties and orbifold Gromov-Witten invariants of smooth toric Deligne-Mumford stacks.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology