Abstract
As a consequence of Markov’s theorem (Theorem 1.1, Chapter 9), we may use braids, and the theory of braids, as a basis for finding knot (or link) invariants. One of the most elegant examples of this method is the so-called Alexander polynomial, [Al2], named after the American mathematician J.W. Alexander, and denoted by Δ K (t), where K denotes a knot (or link). (It should be noted that there are various other approaches to define and determine the Alexander polynomial.)
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© 1999 Springer Science+Business Media Dordrecht
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Murasugi, K., Kurpita, B.I. (1999). Knot invariants. In: A Study of Braids. Mathematics and Its Applications, vol 484. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9319-9_10
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DOI: https://doi.org/10.1007/978-94-015-9319-9_10
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5245-2
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