Publication

Moduli spaces of toric manifolds

Tudor Ratiu
2014
Journal Articles

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.

Official source

https://infoscience.epfl.ch/entities/publication/f0e09b87-9d92-4ce6-887a-d5db8155e228

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Moduli spaces of toric manifolds

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