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arxiv: 1004.0078 · v1 · pith:XONBDYMMnew · submitted 2010-04-01 · 🧮 math.SG · math.AG

A note on homological mirror symmetry for singularities of type D

classification 🧮 math.SG math.AG
keywords homologicalmirrorsymmetrytypeadditionbehaviorcategorydisconnected
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We prove homological mirror symmetry for Lefschetz fibrations obtained as disconnected sums of polynomials of types A or D. The proof is based on the behavior of the Fukaya category under the addition of a polynomial of type D.

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