Release Time:2019-03-13  Hits:

Indexed by: Journal Article

Date of Publication: 2016-04-01

Journal: ACTA MATHEMATICA SINICA-ENGLISH SERIES

Included Journals: ISTIC、SCIE

Volume: 32

Issue: 4

Page Number: 393-405

ISSN: 1439-8516

Key Words: Frobenius system; TQFT; Khovanov homology

Abstract: We study a Khovanov type homology close to the original Khovanov homology theory from Frobenius system. The homology is an invariant for oriented links up to isotopy by applying a tautological functor on the geometric complex. The homology has also geometric descriptions by introducing the genus generating operations. We prove that Jones Polynomial is equal to a suitable Euler characteristic of the homology groups. As an application, we compute the homology groups of (2, k)-torus knots for every k is an element of N.