We describe various handle moves in contact surgery diagrams, notably contact analogues of the Kirby moves. As an application of these handle moves, we discuss the classification of loose Legendrian knots. Along the way, we prove a one-to-one correspondence (up to Legendrian isotopy) between long Legendrian knots in 3-space and their completion in the 3-sphere.http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000270367300004&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701MathematicsSCI(E)10ARTICLE1105-122
We prove various results on contact structures obtained by contact surgery on a single Legendrian kn...
We write a program in Java to generate all grid diagrams of up to size 10. Using equivalence between...
Abstract. The surgery unknotting number of a Legendrian link is de-fined as the minimal number of pa...
We give an explicit formula to compute the rotation number of a nullhomologous Legendrian knot in co...
In this thesis, we define a new invariant of a Legendrian knot in a contact manifold using an open b...
We first review some basic facts of contact and symplectic topology. Symplectic cobordisms are the o...
We first review some basic facts of contact and symplectic topology. Symplectic cobordisms are the o...
ABSTRACT. We exhibit a finite set of local moves that connect any two surgery presen-tations of the ...
A knot that is everywhere tangent to the contact planes is called a Legendrian knot. There are two t...
This thesis is devoted to the study of the effect of Legendrian surgery on contact manifolds. In par...
ABSTRACT. We study the effect of transverse surgery on open books, the Heegaard Floer contact in-var...
Suppose $(\M,\xi)$ be an overtwisted contact 3-manifold. We prove that any Legendrian and transverse...
The famous knot complement theorem by Gordon and Luecke states that two knots in the 3-sphere are eq...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2001.Includes bibliogr...
We write a program in Java to generate all grid diagrams of up to size 10. Using equivalence between...
We prove various results on contact structures obtained by contact surgery on a single Legendrian kn...
We write a program in Java to generate all grid diagrams of up to size 10. Using equivalence between...
Abstract. The surgery unknotting number of a Legendrian link is de-fined as the minimal number of pa...
We give an explicit formula to compute the rotation number of a nullhomologous Legendrian knot in co...
In this thesis, we define a new invariant of a Legendrian knot in a contact manifold using an open b...
We first review some basic facts of contact and symplectic topology. Symplectic cobordisms are the o...
We first review some basic facts of contact and symplectic topology. Symplectic cobordisms are the o...
ABSTRACT. We exhibit a finite set of local moves that connect any two surgery presen-tations of the ...
A knot that is everywhere tangent to the contact planes is called a Legendrian knot. There are two t...
This thesis is devoted to the study of the effect of Legendrian surgery on contact manifolds. In par...
ABSTRACT. We study the effect of transverse surgery on open books, the Heegaard Floer contact in-var...
Suppose $(\M,\xi)$ be an overtwisted contact 3-manifold. We prove that any Legendrian and transverse...
The famous knot complement theorem by Gordon and Luecke states that two knots in the 3-sphere are eq...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2001.Includes bibliogr...
We write a program in Java to generate all grid diagrams of up to size 10. Using equivalence between...
We prove various results on contact structures obtained by contact surgery on a single Legendrian kn...
We write a program in Java to generate all grid diagrams of up to size 10. Using equivalence between...
Abstract. The surgery unknotting number of a Legendrian link is de-fined as the minimal number of pa...