Cargando…

The moment maps in diffeology /

"This memoir presents a generalization of the moment maps to the category {Diffeology}. This construction applies to every smooth action of any diffeological group G preserving a closed 2-form w, defined on some diffeological space X. In particular, that reveals a universal construction, associ...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Iglesias-Zemmour, Patrick, 1953-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, R.I. : American Mathematical Society, 2010.
Colección:Memoirs of the American Mathematical Society ; no. 972.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Few words about diffeology
  • Diffeological groups and momenta
  • The paths moment map
  • The 2-points moment map
  • The moment maps
  • The moment maps for exact 2-forms
  • Functoriality of the moment maps
  • The universal moment maps
  • About symplectic manifolds
  • The homogeneous case
  • Examples of moment maps in diffeology.