Gauged sigma model, mirror symmetry, and related topics

本项目旨在为计量线性西格玛模型奠定严格的数学基础，并寻求其数学应用。规范线性西格玛模型是伟大的物理学家爱德华·威腾提出的一个重要理论。它是研究超弦理论的基本框架，超弦理论是物理学各方面统一的最有前途的候选者之一。该项目将在几何学方面产生新的重大成果，带来许多好处，为规范线性西格玛模型提供坚实的数学基础，加深对该理论的理解，并为解决经典问题提供新的方法。

This project aims to lay down a rigorous mathematical foundation of the gauged linear sigma model and seek its mathematical applications. The gauged linear sigma model is an important theory introduced by the great physicist Edward Witten. It is a fundamental framework in studying superstring theory, which is one of the most promising candidates for the unification of all aspects of physics. This project will generate new and significant results in geometry, with many benefits, providing solid mathematical foundations of the gauged linear sigma model, deepening the understanding of this theory, and providing new methods for solving classical problems.