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arXiv · 1403.7571

Picard-Lefschetz theory and dilating C^*-actions

Paul Seidel
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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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Paul Seidel. 2014-03-29. Picard-Lefschetz theory and dilating C^*-actions. https://doi.org/10.1112/jtopol%2Fjtv029

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