Picard-Lefschetz theory and dilating C^*-actions
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🧮 math.SG
math.KT
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actionsapplicationscategoriescomputationconsiderconstructeddilatingdimensional
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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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