The symplectic approach of gauged linear $\sigma$-model

Gang Tian; Guangbo Xu

The symplectic approach of gauged linear $\sigma$-model

Symplectic Geometry 2017-02-07 v1 Mathematical Physics math.MP

Authors: Gang Tian , Guangbo Xu

Abstract

Witten's Gauged Linear $\sigma$ -Model (GLSM) unifies the Gromov-Witten theory and the Landau-Ginzburg theory, and provides a global perspective on mirror symmetry. In this article, we summarize a mathematically rigorous construction of the GLSM in the geometric phase using methods from symplectic geometry.

Keywords

gauged linear $\sigma$-model symplectic geometry gromov-witten theory landau-ginzburg theory mirror symmetry geometric phase rigorous construction

Cite

@article{arxiv.1702.01428,
  title  = {The symplectic approach of gauged linear $\sigma$-model},
  author = {Gang Tian and Guangbo Xu},
  journal= {arXiv preprint arXiv:1702.01428},
  year   = {2017}
}

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Expository article, 25 pages

The symplectic approach of gauged linear $\sigma$-model

Abstract

Keywords

Cite

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