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Your search keyword '"Hisatoshi Kodani"' showing total 2 results
Start Over Author "Hisatoshi Kodani" Topic geometric topology (math.gt)
2 results on '"Hisatoshi Kodani"'

1. Milnor invariants via unipotent Magnus embeddings

Author

Hisatoshi Kodani and Takefumi Nosaka

Subjects
Pure mathematics, Computation, Geometric Topology (math.GT), Unipotent, Mathematics::Algebraic Topology, Mathematics::Geometric Topology, Mathematics - Geometric Topology, Diagrammatic reasoning, Mathematics::Algebraic Geometry, Mathematics::K-Theory and Homology, FOS: Mathematics, Algebraic Topology (math.AT), Mathematics - Algebraic Topology, Geometry and Topology, Invariant (mathematics), Mathematics
Abstract

We reconfigure the Milnor invariant of links in terms of central group extensions and unipotent Magnus embeddings. We also develop a diagrammatic computation of the invariant and compute the first non-vanishing invariants of the Milnor link and of several other links. Moreover, we refine the original Milnor invariants of higher degree., Comment: 15 pages.We revised minors mistakes, and added a comparison with the original Milnor invariant

Published
2020
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2. Arithmetic topology in Ihara theory

Author

Hisatoshi Kodani, Yuji Terashima, and Masanori Morishita

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
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., Comment: 66pages, to appear in Publ. Res. Inst. Math. Sci., corrected typos

Published
2016
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