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Indexed by:期刊论文

Date of Publication:2016-04-01

Journal:ACTA MATHEMATICA SINICA-ENGLISH SERIES

Included Journals:SCIE、ISTIC

Volume:32

Issue:4

Page Number:393-405

ISSN No.: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.