Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1894568 | Journal of Geometry and Physics | 2016 | 26 Pages |
Abstract
Let P be a polarization on a symplectic manifold for which there exists a metalinear frame bundle. We show that for any other compatible polarization Pâ² there exists a unique metalinear frame bundle such that the BKS-pairing is well defined. This means that we do not need the metaplectic frame bundle (nor a positivity condition on P) to achieve this goal, and thus the name “metalinear correction” would be more appropriate than the commonly used name “metaplectic correction”.
Keywords
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Gijs M. Tuynman,