ON THE CLASSIFICATION OF CERTAIN PLANAR CONTACT STRUCTURES

Arikan M. F., Durusoy S.

ACTA MATHEMATICA HUNGARICA, vol.134, no.4, pp.529-542, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 134 Issue: 4
  • Publication Date: 2012
  • Doi Number: 10.1007/s10474-011-0134-y
  • Journal Name: ACTA MATHEMATICA HUNGARICA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.529-542
  • Middle East Technical University Affiliated: No

Abstract

We focus on contact structures supported by planar open book decompositions. We study right-veering diffeomorphisms to keep track of overtwistedness property of contact structures under some monodromy changes. As an application we give infinitely many examples of overtwisted contact structures supported by open books whose pages are the four-punctured sphere, and also we prove that a certain family is Stein fillable using lantern relation.