Arithmetic topology in Ihara theory

To the memory of professor Akito Nomura

Hisatoshi Kodani, Masanori Morishita, Yuji Terashima

研究成果: ジャーナルへの寄稿記事

1 引用 (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.

元の言語英語
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
発行部数4
DOI
出版物ステータス出版済み - 1 1 2017

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Topology
Galois Representations
Invariant
Braid Group
Braid
Cocycle
Homomorphisms
Analogy
Analogue

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

これを引用

Arithmetic topology in Ihara theory : To the memory of professor Akito Nomura. / Kodani, Hisatoshi; Morishita, Masanori; Terashima, Yuji.

:: Publications of the Research Institute for Mathematical Sciences, 巻 53, 番号 4, 01.01.2017, p. 629-688.

研究成果: ジャーナルへの寄稿記事

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