Lagrangian homology spheres in (A_m) Milnor fibres via C^*-equivariant A_infinity modules

Paul Seidel

Lagrangian homology spheres in (A_m) Milnor fibres via C^*-equivariant A_infinity modules

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arxiv 1202.1955 v3 pith:5NBH2WFG submitted 2012-02-09 math.SG math.KT

Paul Seidel This is my paper · ORCID

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keywords categoriesequivariantfibreshomologylagrangianmilnorsphereswell

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We establish restrictions on Lagrangian embeddings of rational homology spheres into certain open symplectic manifolds, namely the (A_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-Uehara and Ishii-Ueda-Uehara concerning the derived categories of coherent sheaves on the resolutions of (A_m) surface singularities.

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