Abstract
This chapter describes an application of pseudo-holomorphic curves and its compactness properties in symplectic geometry, namely Gromov’s famous squeezing theorem. Already proved in [Gr], it is among the first applications of pseudo-holomorphic curves at all. Gromov’s proof of this result is based on an existence result for pseudo-holomorphic curves using methods from global analysis and Fredholm theory. It is far beyond the scope of this book to present these methods.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1997 Springer Basel AG
About this chapter
Cite this chapter
Hummel, C. (1997). The squeezing theorem. In: Gromov’s Compactness Theorem for Pseudo-holomorphic Curves. Progress in Mathematics, vol 151. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8952-0_7
Download citation
DOI: https://doi.org/10.1007/978-3-0348-8952-0_7
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9842-3
Online ISBN: 978-3-0348-8952-0
eBook Packages: Springer Book Archive