A b-symplectic slice theorem

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

Detalles Bibliográficos
Autores: Braddell, Roisin, Miranda Galcerán, Eva|||0000-0001-9518-5279, Kiesenhofer, Anna
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/383383
Acceso en línea:https://hdl.handle.net/2117/383383
https://dx.doi.org/10.1112/blms.12713
Access Level:acceso abierto
Palabra clave:Symplectic geometry
Geometria simplèctica
Classificació AMS::53 Differential geometry::53D Symplectic geometry, contact geometry
Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria
Descripción
Sumario:In this article, motivated by the study of symplectic structures on manifolds with boundary and the systematic study of -symplectic manifolds started in Guillemin, Miranda, and Pires Adv. Math. 264 (2014), 864–896, we prove a slice theorem for Lie group actions on -symplectic manifolds.