Blowdowns and McKay correspondence on four dimensional quasitoric orbifolds

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.

Minor changes. New characterization of pseudo-holomorphicity of blowdowns(corollary 4.3) added. To appear in Osaka J. Math

References in corpus (1)

• Quasitoric Manifolds with Invariant Almost Complex Structure

Cited by in corpus (2)

• Cohomology rings of good contact toric manifolds
• Moduli spaces of invariant metrics of positive scalar curvature on quasitoric manifolds