Abstract
In the present chapter we prove the upper bound 9.4.A for the coupling parameter and therefore complete the calculation of the length spectrum of Ham(S2). This turns out to be a particular case of a more general problem concerning deformations of symplectic forms (see [P7]). We discuss an approach to the deformation problem which is based on Gromov’s theory of pseudo-holomorphic curves.
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© 2001 Springer Basel AG
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Polterovich, L. (2001). Deformations of Symplectic Forms and Pseudo-holomorphic Curves. In: The Geometry of the Group of Symplectic Diffeomorphism. Lectures in Mathematics ETH Zürich. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8299-6_10
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DOI: https://doi.org/10.1007/978-3-0348-8299-6_10
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-6432-8
Online ISBN: 978-3-0348-8299-6
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