On geometric quantization of bm-symplectic manifolds

被引：0

作者：

Guillemin, Victor W. ^{[1
]}

Miranda, Eva ^{[2
,3
]}

Weitsman, Jonathan ^{[4
]}

机构：

[1] MIT, Dept Math, Cambridge, MA 02139 USA

[2] Univ Politecn Cataluna, Grad Sch Math, Dept Math, Lab Geometry & Dynam Syst,EPSEB,BGSMath Barcelona, Barcelona, Spain

[3] Sorbonne Univ, Observ Paris, IMCCE, CNRS UMR8028,PSL Univ, 77 Ave Denfert Rochereau, F-75014 Paris, France

[4] Northeastern Univ, Dept Math, Boston, MA 02115 USA

来源：

MATHEMATISCHE ZEITSCHRIFT | 2021年 / 298卷 / 1-2期

关键词：

D O I：

10.1007/s00209-020-02590-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the formal geometric quantization of b(m)-symplectic manifolds equipped with Hamiltonian actions of a torusTwith nonzero leading modular weight. The resulting virtual T-modules are finite dimensional whenmis odd, as in [4]; whenmis even, these virtual modules are not finite dimensional, and we compute the asymptotics of the representations for large weight.

引用

页码：281 / 288

页数：8

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