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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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On the cohomology groups of a polarisation and diagonal quantisation
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by J. H. Rawnsley PDF
Trans. Amer. Math. Soc. 230 (1977), 235-255 Request permission

Abstract:

The sheaf ${\mathcal {S}_F}(L)$ of germs of sections of a line bundle L on a manifold X covariant constant with respect to a flat connection defined for vectors in a complex subbundle F of the tangent bundle has a resolution by differential forms defined on F with values in L provided F satisfies the integrability conditions of the complex Frobenius theorem. This includes as special cases the de Rham and Dolbeault resolutions.
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Additional Information
  • © Copyright 1977 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 230 (1977), 235-255
  • MSC: Primary 58A10; Secondary 58A30, 58F05, 81.58
  • DOI: https://doi.org/10.1090/S0002-9947-1977-0648775-2
  • MathSciNet review: 0648775