BUNDLE OF QUANTIZATIONS OF A SYMPLECTIC TORUS

Authors
VINA A
Citation
A. Vina, BUNDLE OF QUANTIZATIONS OF A SYMPLECTIC TORUS, letters in mathematical physics, 36(3), 1996, pp. 231-245
Citations number
14
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
letters in mathematical physics → ACNP
ISSN journal
03779017
Volume
36
Issue
3
Year of publication
1996
Pages
231 - 245
Database
ISI
SICI code
0377-9017(1996)36:3<231:BOQOAS>2.0.ZU;2-1
Abstract
For a given symplectic torus (M = V/Lambda, omega) we construct a bund le whose base is the space of complex structures on V, and whose fibre s are the corresponding quantizations of M. We prove that there is no trivializations of this bundle which allow us to define a continuous i dentification of the quantizations.