A NOTE ON LEFSCHETZ FIBRATIONS ON COMPACT STEIN 4-MANIFOLDS

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Akbulut S., Arikan M. F.

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, vol.14, no.5, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 5
  • Publication Date: 2012
  • Doi Number: 10.1142/s0219199712500356
  • Journal Name: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Stein manifold, Lefschetz fibration, open book, plumbing, CONTACT STRUCTURES, SURFACES
  • Middle East Technical University Affiliated: No

Abstract

Loi-Piergallini and Akbulut-Ozbagci showed that every compact Stein surface admits a Lefschetz fibration over the disk D-2 with bounded fibers. In this note we give a more intrinsic alternative proof of this result.