A survey on odd Khovanov homology

Khovanov homology is a homological invariant of knots that categorifies the Jones polynomial. Since its discovery, it has spurred many advances in low-dimensional topology and connected field. In this talk, we will give a survey on recent devlopements in Khovanov-like theories, with an emphasis on a certain variant, called odd Khovanov homology. This includes tangle theories, extension to homotopy type, and spectral sequences to Floer theories.

This talk serves as an introduction to a working group on odd Khovanov homology, starting this semester. You are welcome to join even if you do not intend to participate in the working group.