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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Nontoric Hamiltonian circle actions on four-dimensional symplectic orbifolds
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by S. F. Singer, J. Talvacchia and N. Watson PDF
Proc. Amer. Math. Soc. 127 (1999), 937-940 Request permission

Abstract:

We construct four-dimensional symplectic orbifolds admitting Hamiltonian circle actions with isolated fixed points, but not admitting any Hamiltonian action of a two-torus. One example is linear, and one example is compact.
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Additional Information
  • S. F. Singer
  • Affiliation: Department of Mathematics, Haverford College, Haverford, Pennsylvania 19041
  • Email: ssinger@haverford.edu
  • J. Talvacchia
  • Affiliation: Department of Mathematics, Swarthmore College, Swarthmore, Pennsylvania 19081
  • Email: jtalvac1@swarthmore.edu
  • N. Watson
  • Affiliation: Department of Mathematics, The Wharton School, University of Pennsylvania, Philadelphia, Pennsylvania 19104
  • Received by editor(s): July 8, 1997
  • Additional Notes: The second author was supported in part by a fellowship from the American Association of University Women and NSF grant DMS 9304580.
  • Communicated by: Peter Li
  • © Copyright 1999 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 127 (1999), 937-940
  • MSC (1991): Primary 58Fxx
  • DOI: https://doi.org/10.1090/S0002-9939-99-04767-X
  • MathSciNet review: 1487340