Mathematical Research Letters

Volume 10 (2003)

Number 6

A note on Akbulut corks

Pages: 777 – 785

DOI: http://dx.doi.org/10.4310/MRL.2003.v10.n6.a5

Author

Nikolai Saveliev (University of Miami)

Abstract

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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