Vortices and a TQFT for Lefschetz fibrations on 4-manifolds

dc.creatorUsher, Michael
dc.date2006-03-06
dc.date2009-05-11
dc.date.accessioned2026-07-07T13:13:12Z
dc.date.available2026-07-07T13:13:12Z
dc.descriptionAdapting a construction of D Salamon involving the U(1) vortex equations, we explore the properties of a Floer theory for 3-manifolds that fiber over S^1 which exhibits several parallels with monopole Floer homology, and in all likelihood coincides with it. The theory fits into a restricted analogue of a TQFT in which the cobordisms are required to be equipped with Lefschetz fibrations, and has connections to the dynamics of surface symplectomorphisms.
dc.descriptionThis is the version published by Algebraic & Geometric Topology on 21 October 2006
dc.identifierhttps://arxiv.org/abs/math/0603128
dc.identifierhttp://arxiv.org/abs/math/0603128
dc.identifierAlgebr. Geom. Topol. 6 (2006) 1677-1743
dc.identifierdoi:10.2140/agt.2006.6.1677
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229809
dc.subjectSymplectic Geometry
dc.subjectGeometric Topology
dc.subject57R57, 53D40, 57R56
dc.titleVortices and a TQFT for Lefschetz fibrations on 4-manifolds
dc.typetext

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