Disjoinable Lagrangian spheres and dilations
Symplectic Geometry
2015-06-16 v3
Abstract
We consider open symplectic manifolds which admit dilations (in the sense previously introduced by Solomon and the author). We obtain restrictions on collections of Lagrangian submanifolds which are pairwise disjoint (or pairwise disjoinable by Hamiltonian isotopies) inside such manifolds. This includes the Milnor fibres of isolated hypersurface singularities which have been stabilized (by adding quadratic terms) sufficiently often.
Cite
@article{arxiv.1307.4819,
title = {Disjoinable Lagrangian spheres and dilations},
author = {Paul Seidel},
journal= {arXiv preprint arXiv:1307.4819},
year = {2015}
}
Comments
v2: includes minor changes (mostly typos and grammar) as in the published version