On the Duflo formula for $L_\infty$-algebras and Q-manifolds
| dc.creator | Shoikhet, Boris | |
| dc.date | 1998-12-01 | |
| dc.date | 1998-12-07 | |
| dc.date.accessioned | 2026-07-07T05:27:04Z | |
| dc.date.available | 2026-07-07T05:27:04Z | |
| dc.description | We prove a direct analogue of the classical Duflo formula in the case of $L_\infty$-algebras. We conjecture an analogous formula in the case of an arbitrary Q-manifold. When $G$ is a compact connected Lie group, the Duflo theorem for the Q-manifold $(ΠTG,d_{DR})$ is exactly the Duflo theorem for the Lie algebra $g = Lie G$. The corresponding theorem for the Q-manifold $(ΠTM,d_{DR})$, where $M$ is an arbitrary smooth manifold, is a generalization of the Duflo theorem for the case of smooth manifolds. On the other hand, the Duflo theorem for the Q-manifold $(Π\bar T_{hol} M, \bar\partial)$, where $M$ is a complex manifold, is a generalization of the M. Kontsevich's ``theorem on complex manifold'' [K1], Sect. 8.4. | |
| dc.description | 11 pages, LaTeX2e | |
| dc.identifier | https://arxiv.org/abs/math/9812009 | |
| dc.identifier | http://arxiv.org/abs/math/9812009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77788 | |
| dc.subject | Quantum Algebra | |
| dc.title | On the Duflo formula for $L_\infty$-algebras and Q-manifolds | |
| dc.type | text |