Lefschetz distribution of Lie foliations
| dc.creator | Lopez, Jesus A. Alvarez | |
| dc.creator | Kordyukov, Yuri A. | |
| dc.date | 2007-03-26 | |
| dc.date.accessioned | 2026-07-07T07:53:55Z | |
| dc.date.available | 2026-07-07T07:53:55Z | |
| dc.description | Let $\mathcal F$ be a Lie foliation on a closed manifold $M$ with structural Lie group $G$. Its transverse Lie structure can be considered as a transverse action $Φ$ of $G$ on $(M,\mathcal F)$; i.e., an ``action'' which is defined up to leafwise homotopies. This $Φ$ induces an action $Φ^*$ of $G$ on the reduced leafwise cohomology $\bar H(\mathcal F)$. By using leafwise Hodge theory, the supertrace of $Φ^*$ can be defined as a distribution $L_{dis}(\mathcal F)$ on $G$ called the Lefschetz distribution of $\mathcal F$. A distributional version of the Gauss-Bonett theorem is proved, which describes $L_{dis}(\mathcal F)$ around the identity element. On any small enough open subset of $G$, $L_{dis}(\mathcal F)$ is described by a distributional version of the Lefschetz trace formula. | |
| dc.description | 40 pages, LaTeX 2e | |
| dc.identifier | https://arxiv.org/abs/math/0703753 | |
| dc.identifier | http://arxiv.org/abs/math/0703753 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/126404 | |
| dc.subject | Differential Geometry | |
| dc.title | Lefschetz distribution of Lie foliations | |
| dc.type | text |