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

Katsuhiko Kuribayashi, Luc Menichi, Takahito Naito

Published 2013-04-25Version 1

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.

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

Categories: math.AT

Keywords: eilenberg-moore spectral sequence, derived string topology, eilenberg-moore type spectral sequence converging, simply-connected poincare duality spaces, relative loop homology algebra

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