Simply connected minimal symplectic 4-manifolds with signature less than --1

dc.creatorAkhmedov, Anar
dc.creatorBaldridge, Scott
dc.creatorBaykur, R. Inanc
dc.creatorKirk, Paul
dc.creatorPark, B. Doug
dc.date2007-05-06
dc.date.accessioned2026-07-07T07:59:42Z
dc.date.available2026-07-07T07:59:42Z
dc.descriptionFor each pair $(e,σ)$ of integers satisfying $2e+3σ\ge 0$, $σ\leq -2$, and $e+σ\equiv 0\pmod{4}$, with four exceptions, we construct a minimal, simply connected symplectic 4-manifold with Euler characteristic $e$ and signature $σ$. We also produce simply connected, minimal symplectic 4-manifolds with signature zero (resp. signature -1) with Euler characteristic $4k$ (resp. $4k+1$) for all $k\ge 46$ (resp. $k\ge 49$).
dc.description32 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0705.0778
dc.identifierhttp://arxiv.org/abs/0705.0778
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128467
dc.subjectGeometric Topology
dc.subjectSymplectic Geometry
dc.subject57R17; 57M05, 57R55
dc.titleSimply connected minimal symplectic 4-manifolds with signature less than --1
dc.typetext

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