11 citations · 56 across the 16 of their papers we have counts for
17 papers
The bv algebra in string topology of classifying spaces
Katsuhiko Kuribayashi, Luc Menichi
For almost any compact connected Lie group and any field , we compute the Batalin-Vilkoviskyalgebra on the loop cohomolog…
Rational homotopy -- Sullivan models
Luc Menichi
This chapter is a short introduction to Sullivan models. In particular, we find the Sullivan model of a free loop space and use it to prove the Vigué-Poirrier-Sullivan theorem on t…
String Topology, Euler Class and TNCZ free loop fibrations
Luc Menichi
Let be a connected, closed oriented manifold. Let be its orientation class. Let be its Euler characteristic. Consider the free loop fibration $ΩM\buildrel{…
Behavior of the Eilenberg-Moore spectral sequence in derived string topology
Katsuhiko Kuribayashi, Luc Menichi, Takahito Naito
The purpose of this paper is to give applications of the Eilenberg-Moore type spectral sequence converging to the relative loop homology algebra of a Gorenstein space, which is int…
Derived string topology and the Eilenberg-Moore spectral sequence
Katsuhiko Kuribayashi, Luc Menichi, Takahito Naito
Let be any simply-connected Gorenstein space over any field. Félix and Thomas have extended to simply-connected Gorenstein spaces, the loop (co)products of Chas and Sullivan on…
Connes-Moscovici characteristic map is a Lie algebra morphism
Luc Menichi
Let be a Hopf algebra with a modular pair in involution $(\Character,1)$. Let be a (module) algebra over equipped with a non-degenerated $\Character$-invariant -trac…