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

Hisatoshi Kodani, Masanori Morishita, Yuji Terashima

研究成果: Contribution to journalArticle

2 被引用数 (Scopus)

抄録

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.

本文言語英語
ページ(範囲)629-688
ページ数60
ジャーナルPublications of the Research Institute for Mathematical Sciences
53
4
DOI
出版ステータス出版済み - 1 1 2017

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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