Moduli spaces of toric manifolds
Symplectic Geometry
2016-11-03 v2 Metric Geometry
Abstract
We construct a distance on the moduli space of symplectic toric manifolds of dimension four. Then we study some basic topological properties of this space, in particular, path-connectedness, compactness, and completeness. The construction of the distance is related to the Duistermaat-Heckman measure and the Hausdorff metric. While the moduli space, its topology and metric, may be constructed in any dimension, the tools we use in the proofs are four-dimensional, and hence so is our main result.
Keywords
Cite
@article{arxiv.1207.0092,
title = {Moduli spaces of toric manifolds},
author = {Álvaro Pelayo and Ana Rita Pires and Tudor S. Ratiu and Silvia Sabatini},
journal= {arXiv preprint arXiv:1207.0092},
year = {2016}
}
Comments
To appear in Geometriae Dedicata, minor changes to previous version, 19 pages, 6 figures