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.
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© 1996 Birkhäuser Verlag
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Kawauchi, A. (1996). Multi-variable Alexander polynomials. In: A Survey of Knot Theory. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9227-8_8
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DOI: https://doi.org/10.1007/978-3-0348-9227-8_8
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-9953-6
Online ISBN: 978-3-0348-9227-8
eBook Packages: Springer Book Archive