Mathematical Research Letters

Volume 3 (1996)

Number 4

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

Pages: 537 – 540

DOI: http://dx.doi.org/10.4310/MRL.1996.v3.n4.a11

Author

Yael Karshon (The Hebrew University of Jerusalem)

Abstract

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.

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