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Coherent states, line bundles and divisors

Stefan Berceanu
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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.

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Stefan Berceanu. 1998-07-14. Coherent states, line bundles and divisors. https://doi.org/10.1016/s0034-4877(99)80012-3

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