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
Full text not available from this repository.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: |
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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 | ||||||||||||||||
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Refereed: | Yes | ||||||||||||||||
URI: | http://kups.ub.uni-koeln.de/id/eprint/20305 |
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