Lefschetz fibrations on compact Stein surfaces

Let $M$ be a compact Stein surface with boundary. We show that $M$ admits infinitely many pairwise nonequivalent positive allowable Lefschetz fibrations over $D^{2}$ with bounded fibers.

Keywords

Lefschetz fibration, Stein surface, open book decomposition

Mathematical Subject Classification 2000

Primary: 57R55

Secondary: 57R65, 57R17, 57M50

References

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Publication

Received: 31 January 2001

Accepted: 20 March 2001

Published: 25 March 2001

Proposed: Robion Kirby

Seconded: Yasha Eliashberg, Ronald Stern

Authors

Selman Akbulut
Department of Mathematics Michigan State University Michigan 48824 USA

Burak Özbağcı
Department of Mathematics Michigan State University Michigan 48824 USA

Volume 5, issue 1 (2001)

Selman Akbulut and Burak Özbağcı