Behavior of the Eilenberg-Moore spectral sequence in derived string topology

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 Poincaré duality spaces over a space.

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