Arithmetic topology in Ihara theory

Hisatoshi Kodani; Masanori Morishita; Yuji Terashima

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arXiv · 1608.07926

Arithmetic topology in Ihara theory

Hisatoshi Kodani·Masanori Morishita·Yuji Terashima

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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.

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Hisatoshi Kodani, Masanori Morishita, Yuji Terashima. 2016-08-29. Arithmetic topology in Ihara theory. https://arxiv.org/abs/1608.07926

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