Floer Homotopical Methods in Low Dimensional and Symplectic Topology Workshop: Equivariant Khovanov Stable Homotopy Types and their Applications
November 18, 2022
- Khovanov homology
- Lawson-Lipshitz-Sarkar Khovanov homotopy type
- equivariant spectra
- Smith inequality
- periodic links
A few years ago, Matt Stoffregen and I constructed equivariant Khovanov spectra for p-periodic links using Lawson, Lipshitz, and Sarkar's Khovanov stable homotopy type. In this talk, I will sketch our construction and then discuss applications of these spectra in low-dimensional topology. If time permits, I will also suggest further research problems that may require the use of Khovanov spectra or Manolescu-Sarkar's knot Floer spectra.