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- W1640666610 abstract "Let M be a simply-connected closed oriented N-dimensional manifold. We prove that for any field of coefficients there exists a natural homomorphism of commutative graded algebras $Psi : H_ast (Omega {aut}_1 M) to H_{ast +N}(M^{S^1})$ where $H_ast (M^{S^1})$ is the loop algebra defined by Chas-Sullivan. As usual ${aut}_1 X$ (resp. $Omega X$) denotes the monoid of the self-equivalences homotopic to the identity map (resp. the space of based loops) of the space X. Moreover, if $bk$ is of characteristic zero, $Psi$ yields isomorphisms $pi_n(Omega {aut}_1 M) otimes bk cong hH^{n+N}_{(1)}$ where $displaystyle oplus_{l=1}^infty hH^n_{(l)}$ denotes the Hodge decomposition on $H^ast (M ^{S^1})$." @default.
- W1640666610 created "2016-06-24" @default.
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- W1640666610 date "2002-04-11" @default.
- W1640666610 modified "2023-09-27" @default.
- W1640666610 title "Spaces of self-equivalences and free loops spaces" @default.
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