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Arithmetic topology in Ihara theory
- 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
- Subjects :
- Pure mathematics
Mathematics - Number Theory
General Mathematics
Mathematics::Number Theory
010102 general mathematics
Braid group
Representation (systemics)
Geometric Topology (math.GT)
0102 computer and information sciences
Arithmetic topology
Galois module
01 natural sciences
Mathematics::Geometric Topology
Mathematics - Geometric Topology
Mathematics::Group Theory
010201 computation theory & mathematics
11R, 11G, 20E, 20F, 57M
Braid
FOS: Mathematics
Algebraic Topology (math.AT)
Homomorphism
Mathematics - Algebraic Topology
Number Theory (math.NT)
0101 mathematics
Mathematics
Subjects
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....30be6a8feff18b3af085ce67b81ac264
- Full Text :
- https://doi.org/10.48550/arxiv.1608.07926