Journal
TOPOLOGY AND ITS APPLICATIONS
Volume 214, Issue -, Pages 180-185Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.topol.2016.10.006
Keywords
Braids; Knots; Concordance; Gauss diagrams
Categories
Funding
- CRM-ISM fellowship
- CRM-ISM Montreal
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Let beta := sigma(1)sigma(-1)(2) be a braid in B-3, where B-3 is the braid group on 3 strings and sigma 1, sigma 2 are the standard Artin generators. We use Gauss diagram formulas to show that for each natural number n not divisible by 3 the knot which is represented by the closure of the braid beta(n) is algebraically slice if and only if n is odd. As a consequence, we deduce some properties of Lucas numbers. (C) 2016 Elsevier B.V. All rights reserved.
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