The geography of symplectic 4-manifolds with an arbitrary fundamental group

In this article, for each finitely presented group G, we construct a family of minimal symplectic 4-manifolds with \pi_1 =G which cover most lattice points (x, {\mathbf c}) with x large in the region 0 \leq {\mathbf c} < 9x. Furthermore, we show that all these 4-manifolds admit infinitely many di...

Full description

Saved in:
Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2007-07, Vol.135 (7), p.2301-2307
Main Author: Park, Jongil
Format: Article
Language:English
Subjects:
Combinatorics. Ordered structures
Differential geometry
Exact sciences and technology
General mathematics
General, history and biography
Geography
Geometry
Homeomorphism
Integers
Lagrangian function
Manifolds and cell complexes
Mathematical lattices
Mathematical theorems
Mathematics
Morphisms
Order, lattices, ordered algebraic structures
Sciences and techniques of general use
Signatures
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this article, for each finitely presented group G, we construct a family of minimal symplectic 4-manifolds with \pi_1 =G which cover most lattice points (x, {\mathbf c}) with x large in the region 0 \leq {\mathbf c} < 9x. Furthermore, we show that all these 4-manifolds admit infinitely many distinct smooth structures.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-07-08818-1