The lattice points of a stacky polytope
Algebraic Topology
2014-08-29 v1 Symplectic Geometry
Abstract
We study the relation between the lattice points of a stacky polytope and a prequantisation of the stack associated to the stacky polytope. We introduce a prequantisation of a Deligne--Mumford stack and discuss the uniqueness and the existence of a prequantisation. After that we describe explicitly the condition for the existence of a prequantisation in terms of stacky polytope under some conditions and discuss the relation between the holomorphic line bundle associated to a prequantisation and the lattice points of the stacky polytope.
Keywords
Cite
@article{arxiv.1408.6683,
title = {The lattice points of a stacky polytope},
author = {Hironori Sakai},
journal= {arXiv preprint arXiv:1408.6683},
year = {2014}
}
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20 pages