Symplectic 4-manifolds with arbitrary fundamental group near the Bogomolov-Miyaoka-Yau line

Details Symplectic 4-manifolds with arbitrary fundamental group near the Bogomolov-Miyaoka-Yau line Symplectic 4-manifolds with arbitrary fundamental group near the Bogomolov-Miyaoka-Yau line

2005-07-27

arxiv.org/abs/math/0507564v1

Mathematics

Geometric Topology

Scientific paper

In this paper we construct a family of symplectic 4--manifolds with positive
signature for any given fundamental group $G$ that approaches the BMY line. The
family is used to show that one cannot hope to do better than than the BMY
inequality in finding a lower bound for the function $f=\chi+b\sigma$ on the
class of all minimal symplectic 4-manifolds with a given fundamental group.

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