Five Lectures on Khovanov Homology
arXiv:math/0606464
Abstract
These lecture notes, which were designed for the Summer School "Heegaard-Floer Homology and Khovanov Homology" in Marseilles, 29th May - 2nd June, 2006, provide an elementary introduction to Khovanov homology. The intended audience is graduate students with some minimal background in low-dimensional and algebraic topology. The lectures cover the basic definitions, important properties, a number of variants and some applications. At the end of each lecture the reader is referred to the relevant literature for further reading.
38 pages; many figures
References in corpus (7)
- Categorification of the Kauffman bracket skein module of I-bundles over surfaces
- An invariant of link cobordisms from Khovanov homology
- Torsion of the Khovanov homology
- Note on Khovanov link cohomology
- Khovanov homology and the slice genus
- Khovanov Homology and Conway Mutation
- Khovanov-Rozansky homology of two-bridge knots and links
Cited by in corpus (8)
- Introduction to Khovanov Homologies. I. Unreduced Jones superpolynomial
- Khovanov homology and words
- Chain homotopy maps and a universal differential for Khovanov-type homology
- Small Seifert fibered surgery on hyperbolic pretzel knots
- Khovano Homology and Embedded Graphs
- A bicomplex of Khovanov homology for colored Jones polynomial
- Spectral sequences of colored Jones polynomials, colored Rasmussen invariants and nanophrases
- Khovanov-Kauffman Homology for embedded Graphs