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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles 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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A combinatorial construction of symplectic expansions
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by Yusuke Kuno PDF
Proc. Amer. Math. Soc. 140 (2012), 1075-1083 Request permission


The notion of a symplectic expansion directly relates the topology of a surface to formal symplectic geometry. We give a method to construct a symplectic expansion by solving a recurrence formula given in terms of the Baker-Campbell-Hausdorff series.
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Additional Information
  • Yusuke Kuno
  • Affiliation: Department of Mathematics, Graduate School of Science, Hiroshima University, 1-3-1 Kagamiyama, Higashi-Hiroshima, Hiroshima 739-8526, Japan
  • Email:
  • Received by editor(s): October 2, 2010
  • Received by editor(s) in revised form: December 14, 2010
  • Published electronically: July 11, 2011
  • Additional Notes: The author is supported by JSPS Research Fellowships for Young Scientists (22$\cdot$4810).
  • Communicated by: Daniel Ruberman
  • © Copyright 2011 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 140 (2012), 1075-1083
  • MSC (2010): Primary 57N05, 20F34
  • DOI:
  • MathSciNet review: 2869092