| Full text | |
| Author(s): |
Cabrera, Alejandro
;
Ortiz, Cristian
Total Authors: 2
|
| Document type: | Journal article |
| Source: | DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS; v. 83, p. 40-pg., 2022-08-01. |
| Abstract | |
In this paper we study quotients of Lie algebroids and groupoids endowed with compatible differential forms. We identify Lie theoretic conditions under which such forms become basic and characterize the induced forms on the quotients. We apply these results to describe generalized quotient and reduction processes for (twisted) Poisson and Dirac structures, as well as to their integration by (twisted, pre-)symplectic groupoids. In particular, we recover and generalize several known results concerning Poisson reduction.(c) 2022 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 16/01630-6 - Generalized geometric structure in equivariant Poisson geometry |
| Grantee: | Cristián Andrés Ortiz González |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 19/14434-9 - Workshop on Contact and Poisson Geometry |
| Grantee: | Cristián Andrés Ortiz González |
| Support Opportunities: | Research Grants - Meeting - Abroad |