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arXiv · 2501.03115

Notes on Khovanov homology

Melissa Zhang
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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.

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Melissa Zhang. 2025-01-06. Notes on Khovanov homology. https://arxiv.org/abs/2501.03115

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