 |
|
|
|
| HAL : hal-00296647, version 3 |
| arXiv : 0807.2351 |
| Fiche détaillée |  Récupérer au format |
|
|
| Journal Of Noncommutative Geometry 2 (2010) ?? |
|
|
| Versions disponibles : | v1 (15-07-2008) | v2 (03-09-2008) | v3 (04-09-2008) |
|
|
|
|
| Algebraic string bracket as a Poisson bracket |
|
|
Hossein Abbaspour 1Thomas Tradler 2 |
|
|
| (2010) |
|
|
|
| In this paper we construct a Lie algebra representation of the algebraic string bracket on negative cyclic cohomology of an associative algebra with appropriate duality. This is a generalized algebraic version of the main theorem of [AZ] which extends Goldman's results using string topology operations.The main result can be applied to the de Rham complex of a smooth manifold as well as the Dolbeault resolution of the endomorphisms of a holomorphic bundle on a Calabi-Yau manifold. |
|
|
|
|
|
|
|
|
|
|
|
| 1 : | Laboratoire de Mathématiques Jean Leray (LMJL) |
|
|
|
CNRS : UMR6629 – Université de Nantes – École Centrale de Nantes |
|
|
| 2 : | College of Technology of the City University of New York |
|
|
|
The City University of New York |
|
|
| 3 : | Long Island University |
|
|
|
Long Island University |
|
|
|
|
|
|
|
|
|
| Domaine | : | Mathématiques/Topologie algébrique Mathématiques/Géométrie algébrique Mathématiques/Topologie géométrique |
|
|
| Free loop space – Cyclic homology – Maurer Cartan – Symplectic reduction |
|
|
|
| Liste des fichiers attachés à ce document : | ||||||||||
|
||||||||||
|
|
|
| hal-00296647, version 3 | |
| http://hal.archives-ouvertes.fr/hal-00296647 | |
| oai:hal.archives-ouvertes.fr:hal-00296647 | |
| Contributeur : Hossein Abbaspour | |
| Soumis le : Mercredi 3 Septembre 2008, 20:55:17 | |
| Dernière modification le : Mercredi 23 Décembre 2009, 08:44:27 | |
