Lagrangian homology spheres in (A[subscript m]) Milnor fibres via C*–equivariant A[subscript ∞]–modules
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Seidel_Lagrangian homology.pdf
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626.65 KB
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Author(s)
Seidel, Paul
Date Issued
January 2013
Journal
Geometry and Topology
Publisher
Mathematical Sciences Publishers
Citation
Seidel, Paul. “Lagrangian Homology Spheres in (A m ) Milnor Fibres via C * –equivariant A ∞ –modules.” Geometry & Topology 16.4 (2013): 2343–2389.
Version
Author's final manuscript
Abstract
We establish restrictions on Lagrangian embeddings of spheres, and more generally rational homology spheres, into certain open symplectic manifolds, namely the (A[subscript m]) Milnor fibres of odd complex dimension. This relies on general considerations about equivariant objects in module categories (which may be applicable in other situations as well), as well as results of Ishii–Ueda–Uehara concerning the derived categories of coherent sheaves on the resolutions of (A[subscript m]) surface singularities.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike 3.0
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DOI of Published Version
https://doi.org/10.2140/gt.2012.16.2343
