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

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dc.creatorBaldridge, Scott
dc.creatorKirk, Paul
dc.date2005-07-27
dc.date.accessioned2026-07-07T05:22:03Z
dc.date.available2026-07-07T05:22:03Z
dc.descriptionIn 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.
dc.identifierhttps://arxiv.org/abs/math/0507564
dc.identifierhttp://arxiv.org/abs/math/0507564
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75913
dc.subjectGeometric Topology
dc.subject53D05; 57R17; 57M05
dc.titleSymplectic 4-manifolds with arbitrary fundamental group near the Bogomolov-Miyaoka-Yau line
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