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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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Even dimensional manifolds and generalized anomaly cancellation formulas
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by Fei Han and Xiaoling Huang PDF
Trans. Amer. Math. Soc. 359 (2007), 5365-5381 Request permission

Abstract:

We give a direct proof of a cancellation formula raised by Han and Zhang (2004) on the level of differential forms. We also obtain more cancellation formulas for even dimensional Riemannian manifolds with a complex line bundle involved. Relations among these cancellation formulas are discussed.
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Additional Information
  • Fei Han
  • Affiliation: Department of Mathematics, University of California, Berkeley, California 94720-3840
  • Email: feihan@math.berkeley.edu
  • Xiaoling Huang
  • Affiliation: Department of Mathematics, University of California, Santa Barbara, California 93106
  • Email: xiaoling@math.ucsb.edu
  • Received by editor(s): September 5, 2005
  • Published electronically: June 13, 2007
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 359 (2007), 5365-5381
  • MSC (2000): Primary 53C20, 57R20; Secondary 53C80, 11Z05
  • DOI: https://doi.org/10.1090/S0002-9947-07-04214-6
  • MathSciNet review: 2327034