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Picard-Lefschetz theory and dilating C^*-actions

2014/03/31 by Paul Seidel · 1 citation
Mathematics · #math.SG #math.KT

paper · pdf · doi:10.1112/jtopol/jtv029

v3: appendectomy performed; to appear in Journal of Topology

arxiv created 2015/09/10 · arxiv updated 2017/05/17

Abstract

We consider C^*-actions on Fukaya categories of exact symplectic manifolds. Such actions can be constructed by dimensional induction, going from the fibre of a Lefschetz fibration to its total space. We explore applications to the topology of Lagrangian submanifolds, with an emphasis on ease of computation.

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