Feller, Peter, Pohlmann, Simon and Zentner, Raphael (2018). Alternation Numbers of Torus Knots with Small Braid Index. Indiana Univ. Math. J., 67 (2). S. 645 - 656. BLOOMINGTON: INDIANA UNIV MATH JOURNAL. ISSN 1943-5258

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Abstract

We calculate the alternation number of torus knots with braid index 4 and less. For the lower bound, we use the Upsilon-invariant recently introduced by Ozsvath, Stipsicz, and Szabo. For the upper bound, we use a known bound for braid index 3 and a new bound for braid index 4. Both bounds coincide, so that we obtain a sharp result.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Feller, PeterUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Pohlmann, SimonUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Zentner, RaphaelUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-203055
Journal or Publication Title: Indiana Univ. Math. J.
Volume: 67
Number: 2
Page Range: S. 645 - 656
Date: 2018
Publisher: INDIANA UNIV MATH JOURNAL
Place of Publication: BLOOMINGTON
ISSN: 1943-5258
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
KHOVANOV HOMOLOGY; FLOER HOMOLOGYMultiple languages
MathematicsMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/20305

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