Year: 2016
Author: Meili Zhang, Fengchun Lei, Fengling Li, Dongxu Wang
Communications in Mathematical Research , Vol. 32 (2016), Iss. 3 : pp. 198–206
Abstract
Khovanov type homology is a generalization of Khovanov homology. The main result of this paper is to give a recursive formula for Khovanov type homology of pretzel knots $P(−n, −m, m)$. The computations reveal that the rank of the homology of pretzel knots is an invariant of $n$. The proof is based on a "shortcut" and two lemmas that recursively reduce the computational complexity of Khovanov type homology.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2016.03.02
Communications in Mathematical Research , Vol. 32 (2016), Iss. 3 : pp. 198–206
Published online: 2016-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: pretzel knot Khovanov type homology Frobenius algebra TQFT.