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Symplectic structures from Lefschetz pencils in high dimensions

2004/09/20 by Robert E Gompf
Mathematics · #math.SG #msc:57R17

paper · pdf

published as Geom. Topol. Monogr. 7 (2004) 267-290 · Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon7/paper11.abs.html

arxiv created 2004/09/20 · arxiv updated 2009/12/01

Abstract

A symplectic structure is canonically constructed on any manifold endowed with a topological linear k-system whose fibers carry suitable symplectic data. As a consequence, the classification theory for Lefschetz pencils in the context of symplectic topology is analogous to the corresponding theory arising in differential topology.

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