Multi-variable Alexander polynomials

Akio Kawauchi
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Akio Kawauchi: Osaka City University, Department of Mathematics

Chapter Chapter 7 in A Survey of Knot Theory, 1996, pp 87-98 from Springer

Abstract: Abstract In this chapter, we define the Alexander module and the link module of a link and show how to calculate them by Fox’s free differential calculus. Then we define the (multi-variable) graded Alexander polynomials to be the characteristic polynomials of these modules and explain the Torres conditions, which the (0-th) Alexander polynomial satisfies.

Date: 1996
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DOI: 10.1007/978-3-0348-9227-8_8

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