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.

Detalhes bibliográficos
Autores: Braddell, R., Kiesenhofer, A., Miranda, E.
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2022
País:España
Recursos:Basque Center for Applied Mathematics (BCAM)
Repositório:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/1516
Acesso em linha:http://hdl.handle.net/20.500.11824/1516
Access Level:Acceso aberto
Palavra-chave:b-symplectic forms,
log-symplectic forms
poisson geometry
normal forms
Descrição
Resumo: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.