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 İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 134 Konu: 4
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1007/s10474-011-0134-y
  • Dergi Adı: ACTA MATHEMATICA HUNGARICA
  • Sayfa Sayıları: ss.529-542

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.