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The symplectic approach of gauged linear $σ$-model

Published 5 Feb 2017 in math.SG, math-ph, and math.MP | (1702.01428v1)

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.

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