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Symplectic leaves of the Gel'fand-Dikij brackets and homotopy classes of nondegenerate curves - MaRDI portal

Symplectic leaves of the Gel'fand-Dikij brackets and homotopy classes of nondegenerate curves (Q756812)

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scientific article; zbMATH DE number 4192700
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English
Symplectic leaves of the Gel'fand-Dikij brackets and homotopy classes of nondegenerate curves
scientific article; zbMATH DE number 4192700

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    Symplectic leaves of the Gel'fand-Dikij brackets and homotopy classes of nondegenerate curves (English)
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    1990
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    The authors prove results such as: the unique continuous invariant of symplectic sheets of the second Gel'fand-Dikij bracket is a monodromy operator and n-degree differential operators generating non-oscillatory equations describe separated symplectic sheets of the same bracket.
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    symplectic sheets
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    Gel'fand-Dikij bracket
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