Fox formulas for twisted Alexander invariants associated to representations of knot groups over rings of S-integers

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2 Citations (Scopus)

Abstract

We present a generalization of the Fox formula for twisted Alexander invariants associated to representations of knot groups over rings of S-integers of F, where S is a finite set of finite primes of a number field F. As an application, we give the asymptotic growth of twisted homology groups.

Original languageEnglish
Article number1850033
JournalJournal of Knot Theory and its Ramifications
Volume27
Issue number5
DOIs
Publication statusPublished - 2018 Apr 1
Externally publishedYes

Keywords

  • arithmetic topology
  • Knot
  • Mahler measure
  • twisted Alexander invariant

ASJC Scopus subject areas

  • Algebra and Number Theory

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