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arxiv: 1304.6802 · v1 · pith:6JBQAHUYnew · submitted 2013-04-25 · 🧮 math.AT

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

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keywords sequencespectraleilenberg-moorespacealgebraapplicationsauthorsbehavior
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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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