Example of a non-log-concave Duistermaat-Heckman measure (Q1815696)
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| Language | Label | Description | Also known as |
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| English | Example of a non-log-concave Duistermaat-Heckman measure |
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Example of a non-log-concave Duistermaat-Heckman measure (English)
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25 May 1997
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The author constructs a compact symplectic 6-dimensional manifold with an Hamiltonian circle action for which the Duistermaat-Heckman function is not log-concave, i.e., its logarithm is not concave. This provides a counterexample to a conjecture of Ginsburg and Knudsen.
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symplectic action
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Duistermaat-Heckman function
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not log-concave
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