A Formula for Khovanov Type Link Homology of Pretzel Knots

Authors

  • Meili Zhang
  • Fengchun Lei
  • Fengling Li
  • Dongxu Wang

DOI:

https://doi.org/10.13447/j.1674-5647.2016.03.02

Keywords:

pretzel knot, Khovanov type homology, Frobenius algebra, TQFT.

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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Published

2021-05-14

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  • 32655

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  • 2669

Issue

Vol. 32 No. 3 (2016)

Section

Articles

How to Cite

A Formula for Khovanov Type Link Homology of Pretzel Knots. (2021). Communications in Mathematical Research, 32(3), 198-206. https://doi.org/10.13447/j.1674-5647.2016.03.02