In this note, we first classify all topological torus knots lying on the Heegaard torus in Lens spaces, and then we classify Legendrian representatives of torus knots. We show that all Legendrian torus knots in universally tight contact structures on Lens spaces are determined up to contactomorphism by their knot type, rational Thurston-Bennequin invariant and rational rotation number
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2001.Includes bibliogr...
A knot that is everywhere tangent to the contact planes is called a Legendrian knot. There are two t...
Abstract. We construct a combinatorial invariant of Legendrian knots in standard contact three-space...
In this study, we first classify all topological torus knots lying on the Heegaard torus in lens spa...
A closed curve homeomorphic to the unit circle in a 3-manifold is called a knot. In particularly, a ...
Abstract. In the note we study Legendrian and transverse knots in rationally null-homologous knot ty...
A basic problem in contact topology is to determine whether two Legendrian knots or links are equiva...
A basic problem in contact topology is to determine whether two Legendrian knots or links are equiva...
Abstract. In the note we study Legendrian and transverse knots in ratio-nally null-homologous knot t...
We study Legendrian and transverse realizations of the negative torus knots T(p,−q) in all contact s...
We determine the homotopy type of the spaces of several Legendrian knots and links with the maximal ...
We study Legendrian and transverse realizations of the negative torus knots $T_{(p,-q)}$ in all cont...
Thesis advisor: John A. BaldwinContact geometry has played a central role in many recent advances in...
The famous knot complement theorem by Gordon and Luecke states that two knots in the 3-sphere are eq...
We show that every tight contact structure on any of the lens spaces L(ns(2)-s+1, s(2)) with n >= 2 ...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2001.Includes bibliogr...
A knot that is everywhere tangent to the contact planes is called a Legendrian knot. There are two t...
Abstract. We construct a combinatorial invariant of Legendrian knots in standard contact three-space...
In this study, we first classify all topological torus knots lying on the Heegaard torus in lens spa...
A closed curve homeomorphic to the unit circle in a 3-manifold is called a knot. In particularly, a ...
Abstract. In the note we study Legendrian and transverse knots in rationally null-homologous knot ty...
A basic problem in contact topology is to determine whether two Legendrian knots or links are equiva...
A basic problem in contact topology is to determine whether two Legendrian knots or links are equiva...
Abstract. In the note we study Legendrian and transverse knots in ratio-nally null-homologous knot t...
We study Legendrian and transverse realizations of the negative torus knots T(p,−q) in all contact s...
We determine the homotopy type of the spaces of several Legendrian knots and links with the maximal ...
We study Legendrian and transverse realizations of the negative torus knots $T_{(p,-q)}$ in all cont...
Thesis advisor: John A. BaldwinContact geometry has played a central role in many recent advances in...
The famous knot complement theorem by Gordon and Luecke states that two knots in the 3-sphere are eq...
We show that every tight contact structure on any of the lens spaces L(ns(2)-s+1, s(2)) with n >= 2 ...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2001.Includes bibliogr...
A knot that is everywhere tangent to the contact planes is called a Legendrian knot. There are two t...
Abstract. We construct a combinatorial invariant of Legendrian knots in standard contact three-space...