Add to ORKGLet M be a compact 2-manifold (smooth, not assigned an orientation, and not necessarily connected) and let K:M 7 → IR4 be a smooth embedding of M in IR4. Such a K will be referred to, in this paper, as a knotted surface, or 2-knot. (While there are also highly non-trivial questions concerning smoot
Let G be a finite graph. We give a label to each of vertices and edges of G. An embedding of G into ...
All (closed oriented) smooth four-manifolds can be constructed as branched covers of the sphere. In ...
This monograph derives direct and concrete relations between colored Jones polynomials and the topol...
We present a marked analog of Carter and Saito\u27s movie theorem. Our definition of marking was cho...
A classical knot is a smooth embedding of the circle into the 3-sphere. We can also consider embeddi...
We provide sharp lower bounds for two versions of the Kirby-Thompson invariants for knotted surfaces...
We will discuss the knot theory of proper embeddings of the plane and half-open annulus in $\mathbb{...
Abstract. Some generalizations of the Fintushel-Stern rim surgery are known to produce smoothly knot...
A knotted surface in the 4-sphere may be described by means of a hyperbolic diagram that captures th...
ABSTRACT. We will reduce the smooth unknotting conjecture in dimension four to the special case and ...
Abstract. We introduce a monoid corresponding to knotted surfaces in four space, from its hyperbolic...
AbstractWe discuss the diagrammatic theory of knot isotopies in dimension 4. We project a knotted su...
Just as links may be algebraically described as certain morphisms in the category of tangles, compac...
International audienceWe consider knotted annuli in 4–space, called 2–string-links, which are knotte...
Theorem 1.1. For any d 5 there exist innitely many smooth oriented closed surfaces F CP2 represent...
Let G be a finite graph. We give a label to each of vertices and edges of G. An embedding of G into ...
All (closed oriented) smooth four-manifolds can be constructed as branched covers of the sphere. In ...
This monograph derives direct and concrete relations between colored Jones polynomials and the topol...
We present a marked analog of Carter and Saito\u27s movie theorem. Our definition of marking was cho...
A classical knot is a smooth embedding of the circle into the 3-sphere. We can also consider embeddi...
We provide sharp lower bounds for two versions of the Kirby-Thompson invariants for knotted surfaces...
We will discuss the knot theory of proper embeddings of the plane and half-open annulus in $\mathbb{...
Abstract. Some generalizations of the Fintushel-Stern rim surgery are known to produce smoothly knot...
A knotted surface in the 4-sphere may be described by means of a hyperbolic diagram that captures th...
ABSTRACT. We will reduce the smooth unknotting conjecture in dimension four to the special case and ...
Abstract. We introduce a monoid corresponding to knotted surfaces in four space, from its hyperbolic...
AbstractWe discuss the diagrammatic theory of knot isotopies in dimension 4. We project a knotted su...
Just as links may be algebraically described as certain morphisms in the category of tangles, compac...
International audienceWe consider knotted annuli in 4–space, called 2–string-links, which are knotte...
Theorem 1.1. For any d 5 there exist innitely many smooth oriented closed surfaces F CP2 represent...
Let G be a finite graph. We give a label to each of vertices and edges of G. An embedding of G into ...
All (closed oriented) smooth four-manifolds can be constructed as branched covers of the sphere. In ...
This monograph derives direct and concrete relations between colored Jones polynomials and the topol...