Abstract

Z2 harmonic 1-forms was introduced by Taubes as the boundary appearing in the compactification of the moduli space of flat SL(2,C) connections. Although from gauge theory aspect, Z2 harmonic 1-forms should exist widely, it is highly challenging to explicitly construct examples of them. Besides the curvature condition, there seems to have more obstruction to the existence of Z2 harmonic 1-forms. In this talk, we will discuss a method to construct examples of Z2 harmonic 1-forms using symmetry. Moreover, we will also discuss the connection between Z2 harmonic 1-forms and special Lagrangian geometry and present a non-existence result.

Speaker

I am now a faculty member at Academy of Mathematics and Systems Science, Chinese Academy of Sciences.

My research focus on gauge theory and differential geometry, in particular, the Kapustin-Witten equations, Higgs bundles, special Lagrangian submanifolds and manifolds with special holonomy.

For more information, you are welcome to visit my home page：

http://www.mcm.ac.cn/people/members/202204/t20220415_695782.html