Contact Structures and Legendrian Links
Özet
A contact structure on an oriented three-manifold is a maximally non-integrable 2-plane field
distributed all over the three-manifold. Legendrian knots and Legendrian links in contact
three-manifolds give important information about the contact three-manifold. A Legendrian
knot/link is a knot/link which is everywhere tangent to the contact planes. In this thesis, the
properties of Legendrian knots and links as well as the classification results are discussed.
Legendrian unknots classification and Legendrian Hopf links classification in the contact
3-sphere S^3 are studied in detail.
