Five Lectures on Khovanov Homology

Details Five Lectures on Khovanov Homology Five Lectures on Khovanov Homology

2006-06-19

arxiv.org/abs/math/0606464v1

Mathematics

Geometric Topology

38 pages; many figures

Scientific paper

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.

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