3 citations · 5 across the 5 of their papers we have counts for
5 papers
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…
On extensions of a symplectic class
Katsuhiko Kuribayashi
Let F be a fibration on a simply-connected base with symplectic fibre (M, ω). Assume that the fibre is nilpotent and T^{2k}-separable for some integer k or a nilmanifold. Then our…
On the levels of maps and topological realization of objects in a triangulated category
Katsuhiko Kuribayashi
The level of a module over a differential graded algebra measures the number of steps required to build the module in an appropriate triangulated category. Based on this notion, we…
A rational splitting of a based mapping space
Katsuhiko Kuribayashi, Toshihiro Yamaguchi
Let F_*(X, Y) be the space of base-point-preserving maps from a connected finite CW complex X to a connected space Y. Consider a CW complex of the form X cup_{alpha}e^{k+1} and a s…