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

Yael Karshon

doi:10.4310/MRL.1996.v3.n4.a11

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

Yael Karshon^*

^*Corresponding author for this work

Hebrew University of Jerusalem

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

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.

Original language	English
Pages (from-to)	537-540
Number of pages	4
Journal	Mathematical Research Letters
Volume	3
Issue number	4
DOIs	https://doi.org/10.4310/MRL.1996.v3.n4.a11
State	Published - 1996
Externally published	Yes

Funding

Funders	Funder number
Directorate for Mathematical and Physical Sciences	9404404

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10.4310/MRL.1996.v3.n4.a11

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

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