Micheline Vigué-Poirrier

3 citations · 3 across the 1 of their papers we have counts for

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math.AT2007★ 1 cited

Rational formality of function spaces

Micheline Vigue-Poirrier

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

math.AT2004★ 3 cited

Rational String Topology

Yves Felix, Jean-Claude Thomas, Micheline Vigue-Poirrier

We use the computational power of rational homotopy theory to provide an explicit cochain model for the loop product and the string bracket of a 1-connected closed manifold M. We p…