Zobrazeno 1 - 10
of 25
pro vyhledávání: '"KODANI, Hisatoshi"'
Autor:
Kodani, Hisatoshi, Terashima, Yuji
We give a generalization of Goncharov's Hodge correlator twistor connection. Our generalized version is a connection 1-form with values in a DG Lie algebra of uni-trivalent graphs which may have loops and satisfies some Maurer--Cartan equation. This
Externí odkaz:
http://arxiv.org/abs/2404.09488
Autor:
Kodani, Hisatoshi, Liu, Bingxiao
Bott--Cattaneo's theory defines the integral invariants for a framed rational homology 3-sphere equipped with an acyclic orthogonal local system, in terms of graph cocycles without self-loops. The 2-loop term of their invariants is associated with th
Externí odkaz:
http://arxiv.org/abs/2311.02682
In this paper, we provide a systematic methodology for calculating multi-order asymptotic expansion of blow-up solutions near blow-up for autonomous ordinary differential equations (ODEs). Under the specific form of the principal term of blow-up solu
Externí odkaz:
http://arxiv.org/abs/2211.06865
In this paper, we provide a natural correspondence of eigenstructures of Jacobian matrices associated with equilibria for appropriately transformed two systems describing finite-time blow-ups for ODEs with quasi-homogeneity in an asymptotic sense. As
Externí odkaz:
http://arxiv.org/abs/2211.06868
Autor:
Kodani, Hisatoshi, Terashima, Yuji
Based on the analogies between mapping class groups and absolute Galois groups, we introduce an arithmetic pro-$\ell$ analogue of Orr invariants for a Galois element associated with Galois action on \'etale fundamental groups of punctured projective
Externí odkaz:
http://arxiv.org/abs/2012.08500
Autor:
Kodani, Hisatoshi, Nosaka, Takefumi
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 se
Externí odkaz:
http://arxiv.org/abs/1709.07335
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-relat
Externí odkaz:
http://arxiv.org/abs/1608.07926
Autor:
Kodani, Hisatoshi
In this article, we define and study the total Milnor invariant and the infinitesimal Morita-Milnor homomorphism as punctured disk analogues of the total Johnson map and the infinitesimal Morita homomorphism studied by Kawazumi and Massuyeau in the c
Externí odkaz:
http://arxiv.org/abs/1604.03213
Autor:
Kodani, Hisatoshi a, ⁎, Nosaka, Takefumi b
Publikováno v:
In Topology and its Applications 15 February 2020 271
Autor:
Kodani, Hisatoshi
Publikováno v:
数理解析研究所講究録. 2238:173-178