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Cattaneo, A S; Zambon, M (2013). A Supergeometric Approach to Poisson Reduction. Communications in Mathematical Physics, 318(3):675-716.
This work introduces a unified approach to the reduction of Poisson manifolds using their description by graded symplectic manifolds. This yields a generalization of the classical Poisson reduction by distributions and allows one to construct actions of strict Lie 2-groups and to describe the corresponding reductions.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Statistical and Nonlinear Physics
Physical Sciences > Mathematical Physics |
| Language: | English |
| Date: | 2013 |
| Deposited On: | 15 Mar 2013 13:56 |
| Last Modified: | 08 Jun 2025 01:40 |
| Publisher: | Springer |
| ISSN: | 0010-3616 |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1007/s00220-013-1664-7 |
Cattaneo, A S