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论文类型：期刊论文

发表时间：2016-04-01

发表刊物：ACTA MATHEMATICA SINICA-ENGLISH SERIES

收录刊物：SCIE、ISTIC

卷号：32

期号：4

页面范围：393-405

ISSN号：1439-8516

关键字：Frobenius system; TQFT; Khovanov homology

摘要：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.