Notes on Khovanov homology
Geometric Topology
2025-01-07 v1 Quantum Algebra
Abstract
These are expository lecture notes from a graduate topics course taught by the author on Khovanov homology and related invariants. Major topics include the Jones polynomial, Khovanov homology, Bar-Natan's cobordism category, applications of Khovanov homology, some spectral sequences, Khovanov stable homotopy type, and skein lasagna modules. Topological and algebraic exposition are sprinkled throughout as needed.
Cite
@article{arxiv.2501.03115,
title = {Notes on Khovanov homology},
author = {Melissa Zhang},
journal= {arXiv preprint arXiv:2501.03115},
year = {2025}
}
Comments
Comments welcome; this is a first draft and might be updated in the future, if it doesn't become obsolete