Will we ever classify simply-connected smooth 4-manifolds?

dc.creatorStern, Ronald J.
dc.date2005-02-08
dc.date2005-02-25
dc.date.accessioned2026-07-07T05:16:48Z
dc.date.available2026-07-07T05:16:48Z
dc.descriptionThese notes are adapted from two talks given at the 2004 Clay Institute Summer School on Floer homology, gauge theory, and low dimensional topology at the Alfred Renyi Institute. We will quickly review what we do and do not know about the existence and uniqueness of smooth and symplectic structures on closed, simply-connected 4-manifolds. We will then list the techniques used to date and capture the key features common to all these techniques. We finish with some approachable questions that further explore the relationship between these techniques and whose answers may assist in future advances towards a classification scheme.
dc.description17 pages, 2004 Clay Institute Summer School on Floer homology, gauge theory, and low dimensional topology. More errata corrected
dc.identifierhttps://arxiv.org/abs/math/0502164
dc.identifierhttp://arxiv.org/abs/math/0502164
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74124
dc.subjectGeometric Topology
dc.subjectSymplectic Geometry
dc.subject57R55, 57R57, 14J26, 53D05
dc.titleWill we ever classify simply-connected smooth 4-manifolds?
dc.typetext

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