Coherent states, line bundles and divisors
Differential Geometry
2009-10-31 v1
Abstract
For homogeneous simply connected Hodge manifolds it is proved that the set of coherent vectors orthogonal to a given one is the divisor responsible for the homogeneous holomorphic line bundle of the coherent vectors. In particular, for naturally reductive spaces, the divisor is the cut locus.
Cite
@article{arxiv.math/9807073,
title = {Coherent states, line bundles and divisors},
author = {Stefan Berceanu},
journal= {arXiv preprint arXiv:math/9807073},
year = {2009}
}
Comments
8 pages, latex2e, ams fonts, to appear in "Coherent States, Differential and Quantum Geometry", Edited by S. T. Ali, M. Schlichenmaier, A. Strasburger, Proceedings of the XVI Workshop on Geometric Methods in Physics, Bialowieza, Poland, June 30 - July 6, 1997, Rep. Math. Phys