Cosymplectic groupoids

Rui Loja Fernandes; David Iglesias Ponte

doi:10.1016/j.geomphys.2023.104928

Cosymplectic groupoids

Rui Loja Fernandes, David Iglesias Ponte

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

A cosymplectic groupoid is a Lie groupoid with a multiplicative cosymplectic structure. We provide several structural results for cosymplectic groupoids and we discuss the relationship between cosymplectic groupoids, Poisson groupoids of corank 1, and oversymplectic groupoids of corank 1.

Original language	English (US)
Article number	104928
Journal	Journal of Geometry and Physics
Volume	192
DOIs	https://doi.org/10.1016/j.geomphys.2023.104928
State	Published - Oct 2023

Keywords

Cosymplectic structures
Lie algebroids
Lie groupoids
Poisson structures

ASJC Scopus subject areas

Mathematical Physics
General Physics and Astronomy
Geometry and Topology

Online availability

10.1016/j.geomphys.2023.104928License: CC BY

Library availability

Discover UIUC Full Text

Cite this

@article{7b8d42a65d274ca1b253e24e839c4c76,

title = "Cosymplectic groupoids",

abstract = "A cosymplectic groupoid is a Lie groupoid with a multiplicative cosymplectic structure. We provide several structural results for cosymplectic groupoids and we discuss the relationship between cosymplectic groupoids, Poisson groupoids of corank 1, and oversymplectic groupoids of corank 1.",

keywords = "Cosymplectic structures, Lie algebroids, Lie groupoids, Poisson structures",

author = "Fernandes, {Rui Loja} and {Iglesias Ponte}, David",

note = "RLF was partially supported by NSF grants DMS-2003223 and DMS-2303586.DIP was partially supported by MCIN grant PID2022-137909NB-C22.",

year = "2023",

month = oct,

doi = "10.1016/j.geomphys.2023.104928",

language = "English (US)",

volume = "192",

journal = "Journal of Geometry and Physics",

issn = "0393-0440",

publisher = "Elsevier B.V.",

}

TY - JOUR

T1 - Cosymplectic groupoids

AU - Fernandes, Rui Loja

AU - Iglesias Ponte, David

N1 - RLF was partially supported by NSF grants DMS-2003223 and DMS-2303586.DIP was partially supported by MCIN grant PID2022-137909NB-C22.

PY - 2023/10

Y1 - 2023/10

N2 - A cosymplectic groupoid is a Lie groupoid with a multiplicative cosymplectic structure. We provide several structural results for cosymplectic groupoids and we discuss the relationship between cosymplectic groupoids, Poisson groupoids of corank 1, and oversymplectic groupoids of corank 1.

AB - A cosymplectic groupoid is a Lie groupoid with a multiplicative cosymplectic structure. We provide several structural results for cosymplectic groupoids and we discuss the relationship between cosymplectic groupoids, Poisson groupoids of corank 1, and oversymplectic groupoids of corank 1.

KW - Cosymplectic structures

KW - Lie algebroids

KW - Lie groupoids

KW - Poisson structures

UR - http://www.scopus.com/inward/record.url?scp=85166192997&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85166192997&partnerID=8YFLogxK

U2 - 10.1016/j.geomphys.2023.104928

DO - 10.1016/j.geomphys.2023.104928

M3 - Article

AN - SCOPUS:85166192997

SN - 0393-0440

VL - 192

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

M1 - 104928

ER -

Cosymplectic groupoids

Abstract

Keywords

ASJC Scopus subject areas

Online availability

Library availability

Related links

Fingerprint

Cite this