首页 | 本学科首页   官方微博 | 高级检索  
     检索      


A Quantization on Riemann Surfaces with Projective Structure
Authors:Ben-Zvi  David  Biswas  Indranil
Institution:(1) Department of Mathematics, The University of Chicago, 5734 University Avenue, Chicago, IL, 60637, U.S.A.;(2) School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai, 400005, India
Abstract:Let X be a Riemann surface equipped with a projective structure. Let 
$$\mathcal{L}$$
be a square-root of the holomorphic cotangent bundle K X . Consider the symplectic form on the complement of the zero section of 
$$\mathcal{L}$$
obtained by pulling back the symplectic form on K X using the map ngr map ngrotimes2. We show that this symplectic form admits a natural quantization. This quantization also gives a quantization of the complement of the zero section in K X equipped with the natural symplectic form.
Keywords:projective structure  symplectic structure  quantization  Moyal–  Weyl algebra
本文献已被 SpringerLink 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号