Abstract
With this note we want to give a short introduction to the theory of pseudoholomorphic curves considered as a tool in symplectic geometry. The invention and the whole foundation of this theory are due to M. Gromov. In the following only some of the simplest arguments of Gromov’s seminal paper [50] will be presented but we will try to give all the details of the proofs. We develop the theory as far as to be able to prove Gromov’s famous “squeezing theorem” [50, corollary 0.3A]. Further information on and applications of pseudoholomorphic curves may be found in [50, 70, 73, 75, 86, 112].
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© 1994 Springer Basel AG
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Aebischer, B., Borer, M., Kälin, M., Leuenberger, C., Reimann, H.M. (1994). Pseudoholomorphic Curves. In: Symplectic Geometry. Progress in Mathematics, vol 124. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7512-7_6
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DOI: https://doi.org/10.1007/978-3-0348-7512-7_6
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-7514-1
Online ISBN: 978-3-0348-7512-7
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