Positive Sasakian structures on 5-manifolds
Differential Geometry
2007-05-23 v1 Algebraic Geometry
Abstract
The aim of this paper is to study compact 5--manifolds which carry a positive Sasakian structure. Strong restrictions are derived for the integral homology groups. In some cases, all positive Sasakian structures are classified. A key step is to study log Del Pezzo surfaces whose boundary divisor contains positive genus curves.
Cite
@article{arxiv.math/0612524,
title = {Positive Sasakian structures on 5-manifolds},
author = {János Kollár},
journal= {arXiv preprint arXiv:math/0612524},
year = {2007}
}