On the moduli space of A-infinity structures

Published 26 Oct 2014 in math.AT | (1410.7089v2)

Abstract: We study the moduli space of A-infinity structures on a topological space as well as the moduli space of A-infinity-ring structures on a fixed module spectrum. In each case we show that the moduli space sits in a homotopy fiber sequence in which the other terms are representing spaces for Hochschild cohomology.

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