Louis H. Kauffman
Published 2011-07-07, updated 2022-04-19Version 2
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.
Comments: 39 pages. 19 figures. LaTeX document. arXiv admin note: text overlap with arXiv:1001.0354, arXiv:0907.3178
Journal: Contemporary Mathematics, Volume 670, 2016
Topological Quantum Information, Khovanov Homology and the Jones Polynomial
On odd torsion in even Khovanov homology
Localization in Khovanov homology
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