arXiv subjects

Selahi Durusoy

Publications and source records attributed to Selahi Durusoy.

3 recordsLinked to original sources

arXiv2011

On the Classification of Planar Contact Structures

In this paper, 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 holomorphically fillable using lantern relation.

math.GT↗

arXiv2004

Heegaard-Floer Homology and a family of Brieskorn spheres

We compute the Heegaard-Floer homology for the family Sigma(2,3,6n+1) of Brieskorn spheres using the algorithm by P. Ozsvath and Z. Szabo

math.GT↗

arXiv2004

An involution acting nontrivially on Heegard-Floer homology

We show that a certain involution on the well known homology sphere (the boundary of the Mazur manifold) induces a nontrivial homomorphism on its Heegard-Floer homology groups (recently defined by Ozsvath and Szabo). We discuss a possible application of this to constructing exotic smooth structures on 4-manifolds.

math.GT↗