Behavior of the Eilenberg-Moore spectral sequence in derived string topology
Algebraic Topology
2013-04-26 v1
Abstract
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 introduced in the previous paper due to the authors. Moreover, it is proved that the spectral sequence is functorial on the category of simply-connected Poincar\'e duality spaces over a space.
Keywords
Cite
@article{arxiv.1304.6802,
title = {Behavior of the Eilenberg-Moore spectral sequence in derived string topology},
author = {Katsuhiko Kuribayashi and Luc Menichi and Takahito Naito},
journal= {arXiv preprint arXiv:1304.6802},
year = {2013}
}
Comments
20 pages, this is one of two preprints divided from "Derived string topology and the Eilenberg-Moore spectral sequence" arXiv:1211.6833 by the same authors, the proof of Theorem 3.2 is revised