ON THE CLASSIFICATION OF CERTAIN PLANAR CONTACT STRUCTURES

Arikan M. F., Durusoy S.

ACTA MATHEMATICA HUNGARICA, cilt.134, sa.4, ss.529-542, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 134 Sayı: 4
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1007/s10474-011-0134-y
  • Dergi Adı: ACTA MATHEMATICA HUNGARICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.529-542
  • Orta Doğu Teknik Üniversitesi Adresli: Hayır

Özet

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.