Micheline Vigu'e-Poirrier

activity

20022009

most citedLoop homology algebra of a closed manifold

5 citations · 5 across the 3 of their papers we have counts for

collaborators

3 papers

math.KT2009

Two classes of algebras with infinite Hochschild homology

Andrea Solotar, Micheline Vigué-Poirrier

We prove without any assumption on the ground field that higher Hochschild homology groups do not vanish for two large classes of algebras whose global dimension in not finite.

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★ 5 cited

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…