Geodesic
Geography of symplectic 4–manifolds with Kodaira dimension one
Baldridge, Scott1 ; Li, Tian-Jun2
1Department of Mathematics, Louisiana State University, Baton Rouge LA 70803, USA
2School of Mathematics, University of Minnesota, Minneapolis MN 55455, USA
Algebraic and Geometric Topology, Tome 5 (2005) no. 1, pp. 355-368
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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.

DOI : 10.2140/agt.2005.5.355
Keywords: symplectic 4–manifolds, symplectic topology

Baldridge, Scott  1   ; Li, Tian-Jun  2

1 Department of Mathematics, Louisiana State University, Baton Rouge LA 70803, USA
2 School of Mathematics, University of Minnesota, Minneapolis MN 55455, USA 
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Baldridge, Scott; Li, Tian-Jun. Geography of symplectic 4–manifolds with Kodaira dimension one. Algebraic and Geometric Topology, Tome 5 (2005) no. 1, pp. 355-368. doi: 10.2140/agt.2005.5.355

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