Algebraic and Geometric Topology 5 (2005),
paper no. 15, pages 355-368.
Geography of symplectic 4-manifolds with Kodaira dimension one
Scott Baldridge, Tian-Jun Li
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.
Symplectic 4--manifolds, symplectic topology
AMS subject classification.
Primary: 57R17.
Secondary: 53D05, 57R57, 57M60.
DOI: 10.2140/agt.2005.5.355
E-print: arXiv:math.SG/0505030
Submitted: 22 January 2005.
(Revised: 30 March 2005.)
Accepted: 12 April 2005.
Published: 21 April 2005.
Notes on file formats
Scott Baldridge, Tian-Jun Li
Department of Mathematics, Louisiana State University
Baton Rouge, LA 70803, USA
and
School of Mathematics, University of Minnesota
Minneapolis, MN 55455, USA
Email: sbaldrid@math.lsu.edu, tjli@math.umn.edu
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