Mathematical Research Letters

Volume 10, Issue 6, November 2003 pp. 777-785.

A note on Akbulut corks

Authors: Nikolai Saveliev
Author institution: University of Miami

Summary: We prove that the involution on the boundary $\Sigma$ of the Akbulut cork relating blown up elliptic surfaces to completely decomposable manifolds acts non-trivially on the Floer homology of $\Sigma$. We also show that $\Sigma$ provides an example of an irreducible manifold with non-zero boundary operator in its Floer chain complex.

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