Micheline Vigu'e-Poirrier

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20022009

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math.AT2007

Formality of function spaces

Micheline Vigué-Poirrier

Let $X$ be a nilpotent space such that there exists $p \geq 1$ with $H^{p} (X, Q) \neq = 0$ and $H^{n} (X, Q) = 0$ if $n > p$ . Let $Y$ be a m-connected space with $m \geq p + 1$ and $…

math.AT2002

Loop homology algebra of a closed manifold

Yves Félix, Jean-Claude Thomas, Micheline Vigué-Poirrier

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…