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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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Homotopy groups of $K$-contact toric manifolds
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by Eugene Lerman PDF
Trans. Amer. Math. Soc. 356 (2004), 4075-4083 Request permission

Abstract:

Contact toric manifolds of Reeb type are a subclass of contact toric manifolds which have the property that they are classified by the images of the associated moment maps. We compute their first and second homotopy group terms of the images of the moment map. We also explain why they are $K$-contact.
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Additional Information
  • Eugene Lerman
  • Affiliation: Department of Mathematics, University of Illinois, Urbana, Illinois 61801
  • Email: lerman@math.uiuc.edu
  • Received by editor(s): December 23, 2002
  • Received by editor(s) in revised form: July 11, 2003
  • Published electronically: March 12, 2004
  • Additional Notes: The author was supported by NSF grant DMS-980305
  • © Copyright 2004 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 356 (2004), 4075-4083
  • MSC (2000): Primary 53D10; Secondary 53D20
  • DOI: https://doi.org/10.1090/S0002-9947-04-03557-3
  • MathSciNet review: 2058839