Lefschetz Fibrations on Compact Stein Manifolds Selman Akbulut and M. Firat Arikan

نویسنده

  • M. FIRAT ARIKAN
چکیده

Here we prove that a compact Stein manifoldW 2n+2 of dimension 2n+2 > 4 admits a Lefschetz fibration over the disk D with Stein fibers, such that the monodromy of the fibration is a symplectomorphism induced by compositions of “generalized Dehn twists” along imbedded n-spheres on the generic fiber. Also, the open book on the boundary ∂W , which is determined by the fibration, is compatible with the contact structure induced by the Stein structure. This generalizes the Stein surface case of n = 1, previously proven by Loi-Piergallini and Akbulut-Ozbagci.

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تاریخ انتشار 2010