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- W1633698294 abstract "The loop homology of a closed orientable manifold $M$ of dimension $d$ is the ordinary homology of the free loop space $M^{S^1}$ with degrees shifted by $d$, i.e. $mathbb H_*(M^{S^1}) = H_{*+d}(M^{S^1})$. Chas and Sullivan have defined a loop product on $mathbb H_*(M^{S^1})$ and an intersection morphism $I : mathbb H_*(M^{S^1}) to H_*(Omega M)$. The algebra $mathbb H_*(M^{S^1})$ is commutative and $I$ is a morphism of algebras. In this paper we produce a model that computes the algebra $mathbb H_*(M^{S^1})$ and the morphism $I$. We show that the kernel of $I$ is nilpotent and that the image is contained in the center of $H_*(Omega M)$, which is in general quite small." @default.
- W1633698294 created "2016-06-24" @default.
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- W1633698294 date "2002-03-14" @default.
- W1633698294 modified "2023-09-27" @default.
- W1633698294 title "Loop homology algebra of a closed manifold" @default.
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