Noncommutative differential forms and quantization of the odd symplectic category
| dc.creator | Severa, Pavol | |
| dc.date | 2002-10-11 | |
| dc.date | 2003-07-29 | |
| dc.date.accessioned | 2026-07-07T04:51:50Z | |
| dc.date.available | 2026-07-07T04:51:50Z | |
| dc.description | There is a simple and natural quantization of differential forms on odd Poisson supermanifolds, given by the relation [f,dg]={f,g} for any two functions f and g. We notice that this non-commutative differential algebra has a geometrical realization as a convolution algebra of the symplectic groupoid integrating the Poisson manifold. This quantization is just a part of a quantization of the odd symplectic category (where objects are odd symplectic supermanifolds and morphisms are Lagrangian relation) in terms of Z_2-graded chain complexes. It is a straightforward consequence of the theory of BV operator acting on semidensities, due to H. Khudaverdian. | |
| dc.description | 4 pages; v2: minor changes | |
| dc.identifier | https://arxiv.org/abs/math/0210169 | |
| dc.identifier | http://arxiv.org/abs/math/0210169 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65254 | |
| dc.subject | Quantum Algebra | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Symplectic Geometry | |
| dc.title | Noncommutative differential forms and quantization of the odd symplectic category | |
| dc.type | text |