 |
|
|
|
| HAL : hal-00489771, version 1 |
| arXiv : 1006.0920 |
| Fiche détaillée |  Récupérer au format |
|
|
| Geometriae Dedicata 158, 1 (2012) 365-395 |
|
|
|
|
| Canonical extensions of Morita homomorphisms to the Ptolemy groupoid |
|
|
| Gwenael Massuyeau 1 |
|
|
| (2012) |
|
|
|
| Let S be a compact connected oriented surface with one boundary component. We extend each of Johnson's and Morita's homomorphisms to the Ptolemy groupoid of S. Our extensions are canonical and take values into finitely generated free abelian groups. The constructions are based on the 3-dimensional interpretation of the Ptolemy groupoid, and a chain map introduced by Suslin and Wodzicki to relate the homology of a nilpotent group to the homology of its Malcev Lie algebra. |
|
|
|
|
|
|
|
|
|
|
|
| 1 : | Institut de Recherche Mathématique Avancée (IRMA) |
|
|
|
CNRS : UMR7501 – Université de Strasbourg |
|
|
|
|
|
|
|
|
|
| Domaine | : | Mathématiques/Topologie géométrique Mathématiques/Topologie algébrique |
|
|
| Lien vers le texte intégral : |
|
| http://fr.arXiv.org/abs/1006.0920 |
| hal-00489771, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00489771 | |
| oai:hal.archives-ouvertes.fr:hal-00489771 | |
| Contributeur : Gwénaël Massuyeau | |
| Soumis le : Lundi 7 Juin 2010, 09:38:42 | |
| Dernière modification le : Vendredi 18 Mai 2012, 11:46:37 | |
