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Arithmetic topology in Ihara theory

Authors :
Hisatoshi Kodani
Yuji Terashima
Masanori Morishita
Publication Year :
2016
Publisher :
arXiv, 2016.

Abstract

Ihara initiated to study a certain Galois representation which may be seen as an arithmetic analogue of the Artin representation of a pure braid group. We pursue the analogies in Ihara theory further, following after some issues and their inter-relations 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.<br />Comment: 66pages, to appear in Publ. Res. Inst. Math. Sci., corrected typos

Details

Database :
OpenAIRE
Accession number :
edsair.doi.dedup.....30be6a8feff18b3af085ce67b81ac264
Full Text :
https://doi.org/10.48550/arxiv.1608.07926