Geometry and Topology Seminar: Real Seiberg-Witten Floer Homotopy and Its Applications
Speaker: Masaki Taniguchi, Kyoto University
Abstract: In this talk, we present a development of a real version of the Seiberg- Witten Floer homotopy type for knots. This construction associates a Z/4Z-equivariant stable homotopy type of a space for a given knot. By utilizing this framework, we introduce several knot/link concordance invariants, namely δ_R and κ_R, defined as Froyshov-type invariants in relation to equivariant singular/K cohomology. We also examine various inequalities associated with these invariants and give their topological applications. This is joint work with Jin Miyazawa and Hokuto Konno.
Host: Ali Daemi
*Note: this seminar is being held over Zoom. If you would like to join the Zoom, please email Jesus Sanchez Jr or Minh Nguyen.