具有相容边界条件的规范LG模型的几何
Geometry of gauged LG-model with compatible boundary conditions
摘要：
本文从规范Witten方程出发，介绍了规范Landau-Ginzburg模型的开弦Floer理论的几何结构。给定Hamilton空间上的$G$不变Morse-Bott全纯函数$W$，利用$(M,ω,G),$临界集的真拉格朗日子流形构造了Lefschetz环，研究了道路空间上的能量泛函，其梯度流方程对应于带端时间规范的规范Witten方程，其临界点是$W.$约化临界空间中的Lagrange交
英文摘要：
This paper introduces the geometry of the open string Floer theory of gauged Landau-Ginzburg model via gauged Witten equations. Given a $G$-invariant Morse-Bott holomorphic function $W$ on a Hamiltonian space $(M,ω,G),$ Lefschetz thimbles are constructed from proper Lagrangian submanifolds of critical set of $W.$ We study an energy functional on path space whose gradient flow equation corresponds to the gauged Witten equations with temporal gauge on a strip end, and whose critical points are Lagrangian intersections in the reduced critical space of $W.$
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