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 language | English |
|---|---|
| Pages (from-to) | 629-688 |
| Number of pages | 60 |
| Journal | Publications of the Research Institute for Mathematical Sciences |
| Volume | 53 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Jan 1 2017 |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
Cite this
Arithmetic topology in Ihara theory : To the memory of professor Akito Nomura. / Kodani, Hisatoshi; Morishita, Masanori; Terashima, Yuji.
In: Publications of the Research Institute for Mathematical Sciences, Vol. 53, No. 4, 01.01.2017, p. 629-688.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Arithmetic topology in Ihara theory
T2 - To the memory of professor Akito Nomura
AU - Kodani, Hisatoshi
AU - Morishita, Masanori
AU - Terashima, Yuji
PY - 2017/1/1
Y1 - 2017/1/1
N2 - 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.
AB - 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.
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UR - http://www.scopus.com/inward/citedby.url?scp=85032372167&partnerID=8YFLogxK
U2 - 10.4171/PRIMS/53-4-6
DO - 10.4171/PRIMS/53-4-6
M3 - Article
AN - SCOPUS:85032372167
VL - 53
SP - 629
EP - 688
JO - Publications of the Research Institute for Mathematical Sciences
JF - Publications of the Research Institute for Mathematical Sciences
SN - 0034-5318
IS - 4
ER -