Generalization of Integrality Condition of Prequantization to Phase Space with Boundaries

Details Generalization of Integrality Condition of Prequantization to Phase Space with Boundaries Generalization of Integrality Condition of Prequantization to Phase Space with Boundaries

1998-08-20

arxiv.org/abs/math-ph/9808009v1

Physics

Mathematical Physics

Latex, 9 pages

Scientific paper

The Weil's integrality condition of prequantization line bundle is
generalized to phase space with boundaries. The proofs of both necessity and
sufficiency are given. It is pointed out via the method of topological current
that Weil's integrality condition is closely connected with the summation of
index of isolated singular points of sections of prequantization line bundle.

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