On the moduli space of A-infinity structures
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🧮 math.AT
keywords
spacemodulistructuresa-infinitya-infinity-ringcasecohomologyfiber
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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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