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.
Keywords
linear system, vanishing cycle, monodromy
Publication
Received: 4 June 2004
Revised: 2 August 2004
Accepted: 20 July 2004
Published: 20 September 2004
