Geometric quantization for proper moment maps

Autor:	Weiping Zhang, Xiaonan Ma
Rok vydání:	2009
Předmět:	Geometric quantization Pure mathematics Conjecture Lie group General Medicine Algebra symbols.namesake Compact group symbols Hamiltonian (quantum mechanics) Mathematics::Symplectic Geometry Moment map Mathematics Symplectic manifold
Zdroj:	Comptes Rendus Mathematique. 347:389-394
ISSN:	1631-073X
Popis:	We establish a geometric quantization formula for Hamiltonian actions of a compact Lie group acting on a non-compact symplectic manifold such that the associated moment map is proper. In particular, we give a solution to a conjecture of Michele Vergne. To cite this article: X. Ma, W. Zhang, C. R. Acad. Sci. Paris, Ser. I 347 (2009).
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::bc879d45a60063c981047a4b23638180 https://doi.org/10.1016/j.crma.2009.02.003 Zobrazit plný text záznamu