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Lefschetz fibrations on compact Stein surfaces

Selman Akbulut and Burak Ozbagci

Geometry & Topology 5 (2001) 319–334

DOI: 10.2140/gt.2001.5.319

Erratum: Geometry & Topology 5 (2001) 939–945

arXiv: math.GT/0012239
Abstract

Let M be a compact Stein surface with boundary. We show that M admits infinitely many pairwise nonequivalent positive allowable Lefschetz fibrations over D2 with bounded fibers.

Keywords

Lefschetz fibration, Stein surface, open book decomposition
Mathematical Subject Classification

Primary: 57R55

Secondary: 57M50, 57R17, 57R65
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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 Ozbagci
Department of Mathematics
Michigan State University
Michigan 48824
USA