Legendre Düğümlerinin Sınıflandırılması
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A contact structure on a 3-manifold is a maximally non-integrable 2-plane field distributed all over the 3-manifold. There are two types of contact structures on 3-manifolds: tight and overtwisted. Knots that are everywhere tangent to the contact planes are called Legendrian knots. In this thesis, we study basic techniques used in the classification Legendrian knots. The aim of this thesis is to examine the techniques used in the classification of Legendrian knots in tight contact manifolds and the techniques used in the classification of Legendrian knots that have tight complements in overtwisted contact manifolds. For this purpose, in this thesis we study the classification of Legendrian unknots in contact 3-sphere S3 in detail.