English

The quantization of a toric manifold is given by the integer lattice points in the moment polytope

Symplectic Geometry 2008-02-13 v2

Abstract

We describe a very nice argument, which we learned from Sue Tolman, that the dimension of the quantization space of a toric manifold, using a Kaehler polarization, is given by the number of integer lattice points in the moment polytope.

Keywords

Cite

@article{arxiv.0708.2710,
  title  = {The quantization of a toric manifold is given by the integer lattice points in the moment polytope},
  author = {Mark D. Hamilton},
  journal= {arXiv preprint arXiv:0708.2710},
  year   = {2008}
}

Comments

10 pages, LaTeX, 3 figures; v2 minor changes: some small clarifications added, typos fixed. To appear in proceedings of 2006 International Toric Topology Conference