doi:10.1007/s10711-013-9858-x
ISI:000332790500021
Pelayo, A.
Pires, A. R.
Ratiu, T. S.
Sabatini, S.
Moduli spaces of toric manifolds
Dordrecht, Springer Verlag
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.
2014-05-02T08:37:42Z
http://infoscience.epfl.ch/record/198594
http://infoscience.epfl.ch/record/198594
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