Geography of symplectic 4-manifolds with Kodaira dimension one
Symplectic Geometry
2014-10-01 v1 Geometric Topology
Abstract
The geography problem is usually stated for simply connected symplectic 4-manifolds. When the first cohomology is nontrivial, however, one can restate the problem taking into account how close the symplectic manifold is to satisfying the conclusion of the Hard Lefschetz Theorem, which is measured by a nonnegative integer called the degeneracy. In this paper we include the degeneracy as an extra parameter in the geography problem and show how to fill out the geography of symplectic 4-manifolds with Kodaira dimension 1 for all admissible triples.
Keywords
Cite
@article{arxiv.math/0505030,
title = {Geography of symplectic 4-manifolds with Kodaira dimension one},
author = {Scott Baldridge and Tian-Jun Li},
journal= {arXiv preprint arXiv:math/0505030},
year = {2014}
}
Comments
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-15.abs.html