Moduli spaces of toric manifolds

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.


Published in:
Geometriae Dedicata, 169, 1, 323-341
Year:
2014
Publisher:
Dordrecht, Springer Verlag
ISSN:
0046-5755
Keywords:
Laboratories:




 Record created 2014-05-02, last modified 2018-01-28


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