Hochschild cohomology of sullivan algebras and mapping spaces between manifolds

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Abstract

Let e: Nn → Mm be an embedding into a compact manifold M. We study the relationship between the homology of the free loop space LM on M and of the space LNM of loops of M based in N and define a shriek map e!: H∗(LM, Q) → H∗(LNM, Q) using Hochschild cohomology and study its properties. We also extend a result of Félix on the injectivity of the induced map aut1 M → map(N, M; f) on rational homotopy groups when M and N have the same dimension and f: N → M is a map of non zero degree. MSC Codes 55P62, 54C35
Original languageEnglish
Number of pages10
JournalarXiv
Publication statusPublished - Aug 25 2020

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