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Multi-variable Alexander polynomials

In: A Survey of Knot Theory

Author

Listed:
  • Akio Kawauchi

    (Osaka City University, Department of Mathematics)

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.

Suggested Citation

  • Akio Kawauchi, 1996. "Multi-variable Alexander polynomials," Springer Books, in: A Survey of Knot Theory, chapter 0, pages 87-98, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-9227-8_8
    DOI: 10.1007/978-3-0348-9227-8_8
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