2013/04/25 by Katsuhiko Kuribayashi, Kuribayashi, Katsuhiko, Luc Menichi +3
Mathematics · #Algebraic Topology (math.AT) #FOS: Mathematics #math.AT
paper · pdf · doi:10.48550/arxiv.1304.6802
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
arxiv created 2013/04/25 · arxiv updated 2013/04/26
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 Poincaré duality spaces over a space.