Title: The symplectic approach of gauged linear $σ$-model,
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.