Picard-Lefschetz theory and dilating C^*-actions
Symplectic Geometry
2017-05-17 v3 K-Theory and Homology
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.
Keywords
Cite
@article{arxiv.1403.7571,
title = {Picard-Lefschetz theory and dilating C^*-actions},
author = {Paul Seidel},
journal= {arXiv preprint arXiv:1403.7571},
year = {2017}
}
Comments
v3: appendectomy performed; to appear in Journal of Topology