140 research outputs found
Arithmetic topology in Ihara theory
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.Comment: 66pages, to appear in Publ. Res. Inst. Math. Sci., corrected typo
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