Disjoinable Lagrangian spheres and dilations
Name
Seidel_Disjoinable Lagrangian.pdf
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802.75 KB
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Adobe PDF
Checksum (MD5)
6c9aa72687d3eb0bd95820945e691f68
Author(s)
Seidel, Paul
Date Issued
September 2013
Journal
Inventiones Mathematicae
Publisher
Springer-Verlag
Citation
Seidel, Paul. “Disjoinable Lagrangian Spheres and Dilations.” Invent. Math. 197, no. 2 (October 5, 2013): 299–359.
Version
Author's final manuscript
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1007/s00222-013-0484-x
