Example of a non-log-concave Duistermaat-Heckman measure

Yael Karshon*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We construct a compact symplectic manifold with a Hamiltonian circle action for which the Duistermaat-Heckman function is not log-concave. This provides a counter-example to a conjecture of Ginzburg and Knudsen.

Original languageEnglish
Pages (from-to)537-540
Number of pages4
JournalMathematical Research Letters
Issue number4
StatePublished - 1996
Externally publishedYes


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