Coherent states and geometry

Details Coherent states and geometry Coherent states and geometry

1998-07-14

arxiv.org/abs/math/9807072v1

Mathematics

Differential Geometry

17 pages, latex2e, ams fonts, talk presented at the Third International Workshop on Differential Geometry and its Applications

Scientific paper

The coherent states are viewed as a powerful tool in differential geometry. It is shown that some objects in differential geometry can be expressed using quantities which appear in the construction of the coherent states. The following subjects are discussed via the coherent states: the geodesics, the conjugate locus and the cut locus; the divisors; the Calabi's diastasis and its domain of definition; the Euler-Poincar\'e characteristic of the manifold, the number of Borel-Morse cells, Kodaira embeding theorem....

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