Blowdowns and McKay correspondence on four dimensional quasitoric orbifolds
Differential Geometry
2011-10-18 v3 Geometric Topology
Symplectic Geometry
Abstract
We prove the existence of torus invariant almost complex structure on any positively omnioriented four dimensional primitive quasitoric orbifold. We construct pseudo-holomorphic blowdown maps for such orbifolds. We prove a version of McKay correspondence when the blowdowns are crepant.
Keywords
Cite
@article{arxiv.0911.0766,
title = {Blowdowns and McKay correspondence on four dimensional quasitoric orbifolds},
author = {Saibal Ganguli and Mainak Poddar},
journal= {arXiv preprint arXiv:0911.0766},
year = {2011}
}
Comments
Minor changes. New characterization of pseudo-holomorphicity of blowdowns(corollary 4.3) added. To appear in Osaka J. Math