ON THE CLASSIFICATION OF CERTAIN PLANAR CONTACT STRUCTURES

Date

2012-03-01

Author

Arıkan, Mehmet Fırat

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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.

Subject Keywords

General Mathematics

URI

https://hdl.handle.net/11511/34400

Journal

ACTA MATHEMATICA HUNGARICA

DOI

https://doi.org/10.1007/s10474-011-0134-y

Collections

Department of Mathematics, Article

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Citation Formats

M. F. Arıkan, “ON THE CLASSIFICATION OF CERTAIN PLANAR CONTACT STRUCTURES,” ACTA MATHEMATICA HUNGARICA, pp. 529–542, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/34400.