Geometric quantization for proper moment maps: the Vergne conjecture

Autor:	Xiaonan Ma, Weiping Zhang
Přispěvatelé:	Institut de Mathématiques de Jussieu (IMJ), Université Pierre et Marie Curie - Paris 6 (UPMC)-Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS), Chern Institute of Mathematics (CIM), Chern Institute of Mathematics-Nankai University (NKU)
Jazyk:	angličtina
Rok vydání:	2008
Předmět:	Geometric quantization Mathematics - Differential Geometry General Mathematics 01 natural sciences symbols.namesake 0103 physical sciences FOS: Mathematics 0101 mathematics Representation Theory (math.RT) Moment map Mathematics::Symplectic Geometry Mathematics Symplectic manifold Conjecture [MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT] 010102 general mathematics Lie group [MATH.MATH-SG]Mathematics [math]/Symplectic Geometry [math.SG] Algebra Differential Geometry (math.DG) [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG] Mathematics - Symplectic Geometry symbols Symplectic Geometry (math.SG) 010307 mathematical physics Mathematics::Differential Geometry geometric quantization Hamiltonian (quantum mechanics) Mathematics - Representation Theory
Zdroj:	Acta Math. 212, no. 1 (2014), 11-57
Popis:	We establish a geometric quantization formula for a Hamiltonian action of a compact Lie group acting on a noncompact symplectic manifold with proper moment map. 40 pages. Final version, to appear in Acta Mathematica
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::32d745744fcdd8be1fc1b1effb99d425 http://arxiv.org/abs/0812.3989 Zobrazit plný text záznamu