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Homological Mirror Symmetry for manifolds of general type

Anton Kapustin, Ludmil Katzarkov, Dmitri Orlov, Mirroslav Yotov (2009)

Open Mathematics

In this paper we outline the foundations of Homological Mirror Symmetry for manifolds of general type. Both Physics and Categorical prospectives are considered.

Homology lens spaces and Dehn surgery on homology spheres

Craig Guilbault (1994)

Fundamenta Mathematicae

A homology lens space is a closed 3-manifold with ℤ-homology groups isomorphic to those of a lens space. A useful theorem found in [Fu] states that a homology lens space M 3 may be obtained by an (n/1)-Dehn surgery on a homology 3-sphere if and only if the linking form of M 3 is equivalent to (1/n). In this note we generalize this result to cover all homology lens spaces, and in the process offer an alternative proof based on classical 3-manifold techniques.

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