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arXiv · 1107.1524

An Introduction to Khovanov Homology

Louis H. Kauffman
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Abstract

This paper is an introduction to Khovanov homology, starting with the Kauffman bracket state summation, emphasizing the Bar-Natan Canopoloy and tangle cobordism approach. The paper discusses a simplicial approach to Khovanov homology and a quantum model for it so that the graded Euler characteristic that produces the Jones polynomial from Khovanov homology becomes the trace of a unitary transformation on a Hilbert space associated with the Khovanov Homology.

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BibTeXRIS

Louis H. Kauffman. 2011-07-07. An Introduction to Khovanov Homology. https://doi.org/10.1090/conm%2F670%2F13447

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