Geometric Quantization on Kähler and Symplectic Manifolds

Autor:	Xiaonan Ma
Rok vydání:	2011
Předmět:	Pure mathematics Mathematics::Complex Variables Differential topology Mathematics::Differential Geometry Symplectic representation Symplectomorphism Mathematics::Symplectic Geometry Moment map Connected sum Mathematics Symplectic manifold Symplectic geometry Bergman kernel
Zdroj:	Proceedings of the International Congress of Mathematicians 2010 (ICM 2010).
Popis:	We explain various results on the asymptotic expansion of the Bergman kernel on Kahler manifolds and also on symplectic manifolds. We also review the “quantization commutes with reduction” phenomenon for a compact Lie group action, and its relation to the Bergman kernel. Mathematics Subject Classification (2010). Primary 53D; Secondary 58J, 32A.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d9d063f21237abf4e8e9dd6215730a2d https://doi.org/10.1142/9789814324359_0074 Zobrazit plný text záznamu