A remark on the Maslov form on the group generated by invertible Fourier integrable operators (Q1381924)
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scientific article; zbMATH DE number 1136484
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A remark on the Maslov form on the group generated by invertible Fourier integrable operators |
scientific article; zbMATH DE number 1136484 |
Statements
A remark on the Maslov form on the group generated by invertible Fourier integrable operators (English)
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31 May 1999
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The author defines and studies the complex determinant mapping \({\mathcal D}: E\to C_*\), where \(E\) is either the group \(\text{Diff}_\theta (S^*N)\) of all contact transformations of a unit cosphere bundle or the group \((FIO)^0(N)\) of all invertible Fourier integral operators. This mapping induces a closed 1-form which is similar to the Maslov form.
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symplectic topology
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quantization
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infinite-dimensional Lie group
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Fourier integral operators
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Maslov form
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