Arithmetic topology in Ihara theory: To the memory of professor Akito Nomura

Hisatoshi Kodani, Masanori Morishita, Yuji Terashima

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

Ihara initiated the study of a certain Galois representation that may be seen as an arithmetic analogue of the Artin representation of a pure braid group. We pursue the analogies in Ihara theory further and give foundational results, following some issues and their interrelations in the theory of braids and links such as Milnor invariants, Johnson homomorphisms, Magnus-Gassner cocycles and Alexander invariants, and study relations with arithmetic in Ihara theory.

Original languageEnglish
Pages (from-to)629-688
Number of pages60
JournalPublications of the Research Institute for Mathematical Sciences
Volume53
Issue number4
DOIs
Publication statusPublished - 2017 Jan 1
Externally publishedYes

Keywords

  • Ihara power series
  • Ihara representation
  • L-adic Alexander invariants
  • L-adic Milnor invariants
  • Pro-l Johnson homomorphisms
  • Pro-l Magnus-Gassner cocycles

ASJC Scopus subject areas

  • Mathematics(all)

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