A b-symplectic slice theorem

In this article, motivated by the study of symplectic structures on manifolds with boundary and the systematic study of b -symplectic manifolds started in Guillemin, Miranda, and Pires Adv. Math. 264 (2014), 864–896, we prove a slice theorem for Lie group actions on b-symplectic manifolds.

Detalles Bibliográficos
Autores: Braddell, R., Kiesenhofer, A., Miranda, E.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:España
Institución:Basque Center for Applied Mathematics (BCAM)
Repositorio:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/1516
Acceso en línea:http://hdl.handle.net/20.500.11824/1516
Access Level:acceso abierto
Palabra clave:b-symplectic forms,
log-symplectic forms
poisson geometry
normal forms
Descripción
Sumario:In this article, motivated by the study of symplectic structures on manifolds with boundary and the systematic study of b -symplectic manifolds started in Guillemin, Miranda, and Pires Adv. Math. 264 (2014), 864–896, we prove a slice theorem for Lie group actions on b-symplectic manifolds.