Log-concavity of complexity one Hamiltonian torus actions
Symplectic Geometry
2016-01-05 v1 Mathematical Physics
math.MP
Abstract
Let be a closed -dimensional symplectic manifold equipped with a Hamiltonian -action. Then Atiyah-Guillemin-Sternberg convexity theorem implies that the image of the moment map is an -dimensional convex polytope. In this paper, we show that the density function of the Duistermaat-Heckman measure is log-concave on the image of the moment map.
Cite
@article{arxiv.1109.3115,
title = {Log-concavity of complexity one Hamiltonian torus actions},
author = {Yunhyung Cho and Min Kyu Kim},
journal= {arXiv preprint arXiv:1109.3115},
year = {2016}
}
Comments
5 pages, 1 figure