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

Published 25 Apr 2013 in math.AT | (1304.6802v1)

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.

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