Symplectic structures from Lefschetz pencils in high dimensions

Mathematics – Symplectic Geometry

Scientific paper

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Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon7/paper11.abs.html

Scientific paper

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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