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

Scott Baldridge; Paul Kirk

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

Scott Baldridge·Paul Kirk

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Abstract

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 $f=χ+bσ$ on the class of all minimal symplectic 4-manifolds with a given fundamental group.

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BibTeX RIS

Scott Baldridge, Paul Kirk. 2005-07-27. Symplectic 4-manifolds with arbitrary fundamental group near the Bogomolov-Miyaoka-Yau line. https://arxiv.org/abs/math/0507564

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