Volume 13, issue 4 (2009)

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Lefschetz fibrations and symplectic homology

Mark McLean

Geometry & Topology 13 (2009) 1877–1944
Abstract

We show that for each $k>3$ there are infinitely many finite type Stein manifolds diffeomorphic to Euclidean space ${ℝ}^{2k}$ which are pairwise distinct as symplectic manifolds.

Keywords
Stein manifold, symplectic homology, Lefschetz fibration
Primary: 53D35
Secondary: 53D40