AbstractWe establish tools to facilitate the computation and application of the Chekanov–Eliashberg differential graded algebra (DGA), a Legendrian-isotopy invariant of Legendrian knots and links in standard contact three space. More specifically, we reformulate the DGA in terms of front projections, and introduce the characteristic algebra, a new invariant derived from the DGA. We use our techniques to distinguish between several previously indistinguishable Legendrian knots and links
A fundamental problem in Legendrian knot theory is to determine when two knots are (or are not) Lege...
ABSTRACT. We give a combinatorial description of the Legendrian dif-ferential graded algebra associa...
Legendrian knot theory is the study of topological knots and links that satisfy an additional, geome...
In this thesis, we study modern invariants of Legendrian knots on R3 with a standard contact structu...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2001.Includes bibliogr...
Abstract. Differential graded algebra invariants are constructed for Legendrian links in the 1-jet s...
The study of Legendrian knots lies within the larger elds of contact geometry and knot theory. The...
Abstract. We study satellites of Legendrian knots in R3 and their relation to the Chekanov–Eliashber...
Abstract. We provide a translation between Chekanov’s combinatorial theory for invari-ants of Legend...
<p>For any Legendrian knot in R^3 with the standard contact structure, we show that the existence of...
In this article, associated to a (bordered) Legendrian graph, we study and show the equivalence betw...
Abstract. We define an algebraic/combinatorial object on the front projection Σ of a Legendrian knot...
In this article, we give a tangle approach in the study of Legendrian knots in the standardcontact t...
In this article, we give a tangle approach in the study of Legendrian knots in the standardcontact t...
Legendrian knot theory is the study of topological knots and links that satisfy an additional, geome...
A fundamental problem in Legendrian knot theory is to determine when two knots are (or are not) Lege...
ABSTRACT. We give a combinatorial description of the Legendrian dif-ferential graded algebra associa...
Legendrian knot theory is the study of topological knots and links that satisfy an additional, geome...
In this thesis, we study modern invariants of Legendrian knots on R3 with a standard contact structu...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2001.Includes bibliogr...
Abstract. Differential graded algebra invariants are constructed for Legendrian links in the 1-jet s...
The study of Legendrian knots lies within the larger elds of contact geometry and knot theory. The...
Abstract. We study satellites of Legendrian knots in R3 and their relation to the Chekanov–Eliashber...
Abstract. We provide a translation between Chekanov’s combinatorial theory for invari-ants of Legend...
<p>For any Legendrian knot in R^3 with the standard contact structure, we show that the existence of...
In this article, associated to a (bordered) Legendrian graph, we study and show the equivalence betw...
Abstract. We define an algebraic/combinatorial object on the front projection Σ of a Legendrian knot...
In this article, we give a tangle approach in the study of Legendrian knots in the standardcontact t...
In this article, we give a tangle approach in the study of Legendrian knots in the standardcontact t...
Legendrian knot theory is the study of topological knots and links that satisfy an additional, geome...
A fundamental problem in Legendrian knot theory is to determine when two knots are (or are not) Lege...
ABSTRACT. We give a combinatorial description of the Legendrian dif-ferential graded algebra associa...
Legendrian knot theory is the study of topological knots and links that satisfy an additional, geome...
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