Homology spheres bounding acyclic smooth manifolds and symplectic fillings
Joint work with Bulent Tosun.
To appear in Michigan Math.~J.

In this paper, we collect various structural results to determine when an integral homology 3-sphere bounds an acyclic smooth 4-manifold, and when this can be upgraded to a Stein embedding. In a different direction we study whether smooth embedding of connected sums of lens spaces in C^2 can be upgraded to a Stein embedding, and determined that this never happens.

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You may download the version of this paper at the arxiv.

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