منابع مشابه
Prequantization and Lie Brackets
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Given a Poisson (or more generally Dirac) manifold P , there are two approaches to its geometric quantization: one involves a circle bundle Q over P endowed with a Jacobi (or Jacobi-Dirac) structure; the other one involves a circle bundle with a (pre-) contact groupoid structure over the (pre-) symplectic groupoid of P . We study the relation between these two prequantization spaces. We show th...
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We generalize geometric prequantization of symplectic manifolds to differentiable stacks. Our approach is atlas-independent and provides a bijection between isomorphism classes of principal S-bundles (with or without connections) and second cohomology groups of certain chain complexes.
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ژورنال
عنوان ژورنال: Indagationes Mathematicae
سال: 1998
ISSN: 0019-3577
DOI: 10.1016/s0019-3577(98)80038-4