Virtual fundamental chain in gauge theory

Abstract: The virtual fundamental chain technique is developed to study moduli space of pseudoholomorphic curve. In the case of moduli space appearing in gauge theory, the singularity appearing in the compactification is harder to work with and existing theory such as Kuranishi structure does not work. In this talk I explain certain stratified version of Kuranishi structure which works to find virtual fundamental chain in some easy case of gauge theory. This is a part of project I am working with A. Daemi and the motivation is to apply it to study certain SO(3) version of Atiyah Floer conjecture.

mathematical physicsalgebraic geometrysymplectic geometry

Audience: researchers in the topic

IBS-CGP weekly zoom seminar

Series comments: Registration is required at cgp.ibs.re.kr/activities/talkregistration