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Andrew Manion
The Khovanov homology of 3-strand pretzels, revisited
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Published: |
November 27, 2018. |
Keywords: |
Khovanov homology, pretzel knots, pretzel links. |
Subject: |
57M27. |
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Abstract
We compute the reduced Khovanov homology of 3-stranded pretzel links. The
coefficients are the integers with the "even" sign assignment. In particular, we show that the only homologically thin, non-quasi-alternating 3-stranded pretzels are P(-p,p,r) with p an odd integer and r greater than or equal to p (these were shown to be homologically thin by Starkston and Qazaqzeh). |
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Acknowledgements
This work was supported by the National Science Foundation under a Graduate Research Fellowship, DGE-1148900, and by the Department of Defense under an NDSEG research fellowship.
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Author information
Andrew Manion:
Department of Mathematics
University of Southern California
3620 S. Vermont Ave.
Los Angeles, CA 90089-2532, USA
amanion@usc.edu
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