Simplicial toric varieties as leaf spaces

Abstract

We present a summary of some results from our article [BZ1] and other recent results on the so-called LVMB manifolds. We emphasize some features by taking a different point of view. We present a simple variant of the Delzant construction, in which the group that is used to perform the symplectic reduction can be chosen of arbitrarily high dimension, and is always connected.

21 pages, 4 figures. To appear in the proceedings of the workshop "New perspectives in differential geometry: special metrics and quaternionic geometry" Rome, 16-20 November 2015, Springer-INdAM Series