An Introduction to Khovanov Homology
arXiv:1107.1524 · doi:10.1090/conm/670/13447
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.
39 pages. 19 figures. LaTeX document. arXiv admin note: text overlap with arXiv:1001.0354, arXiv:0907.3178