Geometry and Topology Seminar: Ring structures in singular instanton Floer homology
Speaker: Boyu Zhang, University of Maryland
Abstract: In this talk, I will present a complete characterization of the ring structure of the singular instanton homology of S^1 times a punctured surface (in C-coefficients). This ring structure gives all the universal relations of the module structures of instanton Floer homology groups. Earlier partial results on this ring have yielded a large number of topological applications, including detection results on Khovanov homology and new results on the SU(2) representation variety of link complements. I will also discuss some of these topological applications. This talk is based on joint works with Yi Xie.
Host: Minh Nguyen