Lagrangian homology spheres in (A[subscript m]) Milnor fibres via C*–equivariant A[subscript ∞]–modules
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 categorie...
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| Format: | Article |
| Language: | en_US |
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Mathematical Sciences Publishers
2013
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| Online Access: | http://hdl.handle.net/1721.1/80758 https://orcid.org/0000-0003-1628-1591 |
| _version_ | 1826210308760272896 |
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| author | Seidel, Paul |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Seidel, Paul |
| author_sort | Seidel, Paul |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T14:47:45Z |
| format | Article |
| id | mit-1721.1/80758 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T14:47:45Z |
| publishDate | 2013 |
| publisher | Mathematical Sciences Publishers |
| record_format | dspace |
| spelling | mit-1721.1/807582022-10-01T22:30:32Z Lagrangian homology spheres in (A[subscript m]) Milnor fibres via C*–equivariant A[subscript ∞]–modules Seidel, Paul Massachusetts Institute of Technology. Department of Mathematics Seidel, Paul 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. National Science Foundation (U.S.) (Grant DMS–1005288) 2013-09-16T19:23:18Z 2013-09-16T19:23:18Z 2013-01 2012-06 Article http://purl.org/eprint/type/JournalArticle 1465-3060 1364-0380 http://hdl.handle.net/1721.1/80758 Seidel, Paul. “Lagrangian Homology Spheres in (A m ) Milnor Fibres via C * –equivariant A ∞ –modules.” Geometry & Topology 16.4 (2013): 2343–2389. https://orcid.org/0000-0003-1628-1591 en_US http://dx.doi.org/10.2140/gt.2012.16.2343 Geometry and Topology Creative Commons Attribution-Noncommercial-Share Alike 3.0 http://creativecommons.org/licenses/by-nc-sa/3.0/ application/pdf Mathematical Sciences Publishers arXiv |
| spellingShingle | Seidel, Paul Lagrangian homology spheres in (A[subscript m]) Milnor fibres via C*–equivariant A[subscript ∞]–modules |
| title | Lagrangian homology spheres in (A[subscript m]) Milnor fibres via C*–equivariant A[subscript ∞]–modules |
| title_full | Lagrangian homology spheres in (A[subscript m]) Milnor fibres via C*–equivariant A[subscript ∞]–modules |
| title_fullStr | Lagrangian homology spheres in (A[subscript m]) Milnor fibres via C*–equivariant A[subscript ∞]–modules |
| title_full_unstemmed | Lagrangian homology spheres in (A[subscript m]) Milnor fibres via C*–equivariant A[subscript ∞]–modules |
| title_short | Lagrangian homology spheres in (A[subscript m]) Milnor fibres via C*–equivariant A[subscript ∞]–modules |
| title_sort | lagrangian homology spheres in a subscript m milnor fibres via c equivariant a subscript ∞ modules |
| url | http://hdl.handle.net/1721.1/80758 https://orcid.org/0000-0003-1628-1591 |
| work_keys_str_mv | AT seidelpaul lagrangianhomologyspheresinasubscriptmmilnorfibresviacequivariantasubscriptmodules |