A combinatorial construction of symplectic expansions
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- by Yusuke Kuno PDF
- Proc. Amer. Math. Soc. 140 (2012), 1075-1083 Request permission
Abstract:
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.References
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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: kunotti@hiroshima-u.ac.jp
- 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: https://doi.org/10.1090/S0002-9939-2011-10951-1
- MathSciNet review: 2869092