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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

A cohomological pairing of half-forms


Author: P. L. Robinson
Journal: Trans. Amer. Math. Soc. 301 (1987), 251-261
MSC: Primary 58F06; Secondary 17B10, 53C57
MathSciNet review: 879572
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Abstract: Blattner and Rawnsley have constructed half-forms for regular polarizations of arbitrary index. We show how to pair these half-forms into a line bundle fashioned purely from the symplectic data, with no assumption on the intersection of the polarizations. Our pairing agrees with the regular BKS pairing when the polarizations are positive.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1987-0879572-7
PII: S 0002-9947(1987)0879572-7
Article copyright: © Copyright 1987 American Mathematical Society