Rational string topology
By Y. Félix, Jean-Claude Thomas, Micheline Vigué-Poirrier. 2004
48 citations recorded by the source corpus.
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 prove that the loop homology of $M$ is isomorphic to the Hochschild cohomology of the cochain algebra $C^\ast(M)$ with coefficients in itself. Some explicit computations of the loop product and the string bracket are given.
Subfields: Geometry and Topology, Mathematical Physics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/c8eb7f11bb6304767acf58a3584e80221b5b158b
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In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Algebraic models in geometry (2008, background): “35 ([94]) The map αN is the map induced in cohomology by μDA ⊗ 1.”