Generating functions of symplectomorphisms (Q1892801)
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scientific article; zbMATH DE number 767648
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generating functions of symplectomorphisms |
scientific article; zbMATH DE number 767648 |
Statements
Generating functions of symplectomorphisms (English)
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26 June 1995
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The author suggests a construction which allows him to replace the infinite-dimensional loop space by the finite-dimensional space of closed polygons in the Conley-Zehnder's proof of Arnol'd's problem on fixed points of symplectic diffeomorphisms of tori. Also an explicit geometric construction for the generating function of a symplectomorphism of \(\mathbb{R}^{2n}\) is given.
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loop space
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symplectic diffeomorphisms
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generating function
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0.96398026
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0.9444079
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0.9412558
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0.9333127
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0.9311882
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0.9257946
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