TY - EJOUR
DO - 10.1007/s10711-013-9858-x
AB - 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.
T1 - Moduli spaces of toric manifolds
IS - 1
DA - 2014
AU - Pelayo, A.
AU - Pires, A. R.
AU - Ratiu, T. S.
AU - Sabatini, S.
JF - Geometriae Dedicata
SP - 323-341
VL - 169
EP - 323-341
PB - Springer Verlag
PP - Dordrecht
ID - 198594
KW - Toric manifold
KW - Delzant polytope
KW - Moduli space
KW - Metric space
SN - 0046-5755
ER -