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- W2063291252 abstract "Let $M$ be a simply connected closed manifold of dimension $n$. We study the rational homotopy type of the configuration space of 2 points in $M$, $F(M,2)$. When $M$ is even dimensional, we prove that the rational homotopy type of $F(M,2)$ depends only on the rational homotopy type of $M$. When the dimension of $M$ is odd, for every $xin H^{n-2} (M, mathbb{Q})$, we construct a commutative differential graded algebra $C(x)$. We prove that for some $x in H^{n-2} (M; mathbb{Q})$, $C(x)$ encodes completely the rational homotopy type of $F(M,2)$. For some class of manifolds, we show that we can take $x=0$." @default.
- W2063291252 created "2016-06-24" @default.
- W2063291252 creator A5072742856 @default.
- W2063291252 date "2015-04-14" @default.
- W2063291252 modified "2023-10-14" @default.
- W2063291252 title "Rational model of the configuration space of two points in a simply connected closed manifold" @default.
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- W2063291252 doi "https://doi.org/10.1090/proc/12666" @default.
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