4 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…
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…
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…