De Rham model for string topology

De Rham model for string topology

Using the theory of iterated integrals, we give new short proofs of some of the main theorems of string topology including the one which relates Chas-Sullivan algebra structure on the homology of the free loop space of a simply connected closed oriented manifold to the Hochschild cohomology of the d...

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Veröffentlicht in:International Mathematics Research Notices 2004, Vol.2004 (55), p.2955-2981
1. Verfasser: Merkulov, S. A.
Format: Artikel
Sprache:eng
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Zusammenfassung:Using the theory of iterated integrals, we give new short proofs of some of the main theorems of string topology including the one which relates Chas-Sullivan algebra structure on the homology of the free loop space of a simply connected closed oriented manifold to the Hochschild cohomology of the de Rham algebra.
ISSN:1073-7928
1687-1197
1687-0247
DOI:10.1155/S1073792804132662