Geometry of Generalized Coherent States : Some Calculations of Chern Characters
نویسنده
چکیده
This is a continuation of the preceding paper (hep–ph/0108219). First of all we make a brief review of generalized coherent states based on Lie algebra su(1,1) and prove that the resolution of unity can be obtained by the curvature form of some bundle. Next for a set of generalized coherent states we define a universal bundle over the infinite–dimensional Grassmann manifold and construct the pull–back bundle making use of a projector from the parameter space to this Grassmann one. We mainly study Chern characters of these bundles. Although the Chern characters in the infinite–dimensional case are in general not easy to calculate, we can perform them for the special cases. In this paper we report our calculations and propose some problems. E-mail address : [email protected] Home-page : http://fujii.sci.yokohama-cu.ac.jp
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Geometry of Coherent States : Some Examples of Calculations of Chern–Characters
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