1 citations · 2 across the 10 of their papers we have counts for
10 papers
The Kontsevich invariant and the action of the Grothendieck--Teichmüller group on -component string links
Hisatoshi Kodani, Yuta Nozaki
The Kontsevich invariant of links is independent of the choice of associator, whereas for tangles this is not the case in general. In this paper, we focus on -component string l…
Theta-invariants of -homology equivalences to spherical 3-manifolds
Hisatoshi Kodani, Tadayuki Watanabe
We study Bott and Cattaneo's -invariant of 3-manifolds applied to -homology equivalences from 3-manifolds to a fixed spherical 3-manifold. The -invariants are de…
Quantum master equation and Hodge correlators
Hisatoshi Kodani, Yuji Terashima
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…
Integral invariants for framed 3-manifolds associated to trivalent graphs possibly with self-loops
Hisatoshi Kodani, Bingxiao Liu
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…
Multi-order asymptotic expansion of blow-up solutions for autonomous ODEs. II -- Dynamical Correspondence
Hisatoshi Kodani, Kaname Matsue, Hiroyuki Ochiai +1
In this paper, we provide a natural correspondence of eigenstructures of Jacobian matrices associated with equilibria for appropriately transformed two systems describing finite-ti…
Multi-order asymptotic expansion of blow-up solutions for autonomous ODEs. I -- Method and Justification
Taisei Asai, Hisatoshi Kodani, Kaname Matsue +2
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…
Arithmetic Orr invariants of absolute Galois groups
Hisatoshi Kodani, Yuji Terashima
Based on the analogies between mapping class groups and absolute Galois groups, we introduce an arithmetic pro- analogue of Orr invariants for a Galois element associated wit…
Milnor invariants via unipotent Magnus embeddings
Hisatoshi Kodani, Takefumi Nosaka
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 c…
Arithmetic topology in Ihara theory
Hisatoshi Kodani, Masanori Morishita, Yuji Terashima
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 I…
Group-like expansions and invariants of string links
Hisatoshi Kodani
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 infini…