A Formula for Khovanov Typ e Link Homology of Pretzel Knots |
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| Authors: | Meili Zhang Fengchun Lei Fengling Li & Dongxu Wang |
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| Affiliation: | 1. School of Mathematical Sciences, Dalian University of Technology, Dalian, Liaoning, 116024;2. Mathematics Department, Dongbei University of Finance and Economics, Dalian, Liaoning, 116025 |
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| 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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| Keywords: | pretzel knot Khovanov type homology Frobenius algebra TQFT |
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