Geography of symplectic 4-manifolds with Kodaira dimension one

Details Geography of symplectic 4-manifolds with Kodaira dimension one Geography of symplectic 4-manifolds with Kodaira dimension one

2005-05-02

arxiv.org/abs/math/0505030v1

Algebr. Geom. Topol. 5 (2005) 355-368

Mathematics

Symplectic Geometry

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-15.abs.html

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Geography of symplectic 4-manifolds with Kodaira dimension one does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Geography of symplectic 4-manifolds with Kodaira dimension one, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geography of symplectic 4-manifolds with Kodaira dimension one will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-479760