Invariants additifs de dg-categories
| dc.creator | Tabuada, Goncalo | |
| dc.date | 2005-07-11 | |
| dc.date.accessioned | 2026-07-07T05:21:36Z | |
| dc.date.available | 2026-07-07T05:21:36Z | |
| dc.description | With the help of the tools of Quillen's homotopical algebra, we construct `the universal additive invariant', namely a functor from the category of small dg categories to an additive category, that inverts the Morita dg functors, transforms the semi-orthogonal decompositions in the sense of Bondal-Orlov into direct sums and which is universal for these properties. We compare our construction with that of Bondal-Larsen-Lunts. ----- A l'aide des outils de l'algebre homotopique de Quillen, on construit `l'invariant additif universel', c'est-a-dire un foncteur defini sur la categorie des petites dg-categories et a valeurs dans une categorie additive qui rend inversibles les dg-foncteurs de Morita, transforme les decompositions semi-orthogonales au sens de Bondal-Orlov en sommes directes et qui est universel pour ces proprietees. Nous comparons notre construction a celle de Bondal-Larsen-Lunts. | |
| dc.description | 26 pages, in French with an introduction in English | |
| dc.identifier | https://arxiv.org/abs/math/0507227 | |
| dc.identifier | http://arxiv.org/abs/math/0507227 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75750 | |
| dc.subject | K-Theory and Homology | |
| dc.subject | Representation Theory | |
| dc.subject | 16E45 (Primary) 18E30, 18E35 (Secondary) | |
| dc.title | Invariants additifs de dg-categories | |
| dc.type | text |