Geodesic
The Diffeomorphism Type of Canonical Integrations of Poisson Tensors on Surfaces
Canadian mathematical bulletin, Tome 58 (2015) no. 3, pp. 575-579

Voir la notice de l'article provenant de la source Cambridge

DOI

A surface $\sum$ endowed with a Poisson tensor $\pi$ is known to admit a canonical integration, $G\left( \pi\right)$ , which is a 4-dimensional manifold with a (symplectic) Lie groupoid structure. In this short note we show that if $\text{ }\!\!\pi\!\!\text{ }$ is not an area form on the 2-sphere, then $G\left( \pi\right)$ is diffeomorphic to the cotangent bundle $T*\sum$ . This extends results by the author and by Bonechi, Ciccoli, Staffolani, and Tarlini.
DOI : 10.4153/CMB-2015-011-7
Mots-clés : 58H05, 55R10, 53D17, Poisson tensor, Lie groupoid, cotangent bundle 
Torres, David Martínez. The Diffeomorphism Type of Canonical Integrations of Poisson Tensors on Surfaces. Canadian mathematical bulletin, Tome 58 (2015) no. 3, pp. 575-579. doi: 10.4153/CMB-2015-011-7
@article{10_4153_CMB_2015_011_7,
     author = {Torres, David Mart{\'\i}nez},
     title = {The {Diffeomorphism} {Type} of {Canonical} {Integrations} of {Poisson} {Tensors} on {Surfaces}},
     journal = {Canadian mathematical bulletin},
     pages = {575--579},
     year = {2015},
     volume = {58},
     number = {3},
     doi = {10.4153/CMB-2015-011-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2015-011-7/}
}
TY  - JOUR
AU  - Torres, David Martínez
TI  - The Diffeomorphism Type of Canonical Integrations of Poisson Tensors on Surfaces
JO  - Canadian mathematical bulletin
PY  - 2015
SP  - 575
EP  - 579
VL  - 58
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2015-011-7/
DO  - 10.4153/CMB-2015-011-7
ID  - 10_4153_CMB_2015_011_7
ER  - 
%0 Journal Article
%A Torres, David Martínez
%T The Diffeomorphism Type of Canonical Integrations of Poisson Tensors on Surfaces
%J Canadian mathematical bulletin
%D 2015
%P 575-579
%V 58
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2015-011-7/
%R 10.4153/CMB-2015-011-7
%F 10_4153_CMB_2015_011_7

Cité par Sources :