【摘 要】
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This talk is based on a joint project with Dongning Wang,Sushmita Venugopalan and Chris Woodward.We consider the symplectic vortex equation over the disk wi
【出 处】
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2016年整体镜像对称研讨会(workshop on Global Mirror Symmetry)
论文部分内容阅读
This talk is based on a joint project with Dongning Wang,Sushmita Venugopalan and Chris Woodward.We consider the symplectic vortex equation over the disk with Lagrangian boundary condition.As the area of the disk grows to infinity,vortices converges to holomorphic disks in the symplectic quotient,with possible affine vortex bubbles.These affine vortices are solutions to the vortex equation over either the complex plane or the upper half plane.I will explain at least intuitively,why the counting of affine vortices defines an A-infinity morphism between two versions of Fukaya algebras of a Lagrangian.This morphism can be viewed as an ``open quantum Kirwan map".An interesting application of the open quantum Kirwan map is to understand,for toric manifolds,the relation between the Hori-Vafa potential and the Lagrangian Floer disk potential.
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