Quasitoric Manifolds with Invariant Almost Complex Structure
Algebraic Topology
2009-04-28 v2 Geometric Topology
Abstract
We prove that any quasitoric manifold admits a -invariant almost complex structure if and only if admits a positive omniorientation. In particular, we show that all obstructions to existence of -invariant almost complex structure on arise from cohomology of underlying polytope - and hence are trivial.
Cite
@article{arxiv.0902.0250,
title = {Quasitoric Manifolds with Invariant Almost Complex Structure},
author = {Andrei Kustarev},
journal= {arXiv preprint arXiv:0902.0250},
year = {2009}
}