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Twisting quasi-alternating links
Author(s):
Abhijit
Champanerkar;
Ilya
Kofman
Journal:
Proc. Amer. Math. Soc.
137
(2009),
2451-2458.
MSC (2000):
Primary 57M25
Posted:
March 10, 2009
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Abstract:
Quasi-alternating links are homologically thin for both Khovanov homology and knot Floer homology. We show that every quasi-alternating link gives rise to an infinite family of quasi-alternating links obtained by replacing a crossing with an alternating rational tangle. Consequently, we show that many pretzel links are quasi-alternating, and we determine the thickness of Khovanov homology for ``most'' pretzel links with arbitrarily many strands.
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Additional Information:
Abhijit
Champanerkar
Affiliation:
Department of Mathematics, College of Staten Island, The City University of New York, Staten Island, New York 10314
Email:
abhijit@math.csi.cuny.edu
Ilya
Kofman
Affiliation:
Department of Mathematics, College of Staten Island, The City University of New York, Staten Island, New York 10314
Email:
ikofman@math.csi.cuny.edu
DOI:
10.1090/S0002-9939-09-09876-1
PII:
S 0002-9939(09)09876-1
Keywords:
Khovanov homology,
knot Floer homology,
pretzel link
Received by editor(s):
April 22, 2008
Posted:
March 10, 2009
Additional Notes:
The first author was supported by NSF grant DMS-0844485.
The second author was supported by NSF grant DMS-0456227 and a PSC-CUNY grant.
Communicated by:
Daniel Ruberman
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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