Add to ORKGWe investigate several natural invariants of curves and knots in $${\mathbb{R}^3}$$ . These invariants generalize bridge number and width. As with bridge number, there are connections to the total curvature of a curve
Donovan and Wemyss [8] introduced the contraction algebra of flopping curves in 3-folds. When the fl...
Abstract. We construct the infinite sequence of invariants for curves in surfaces by using word theo...
Classically, the study of knots and links has proceeded topologically looking for features of knotte...
We investigate several integer invariants of curves in 3-space. We demonstrate relationship...
In this diploma thesis we first present basic definitions and properties of space curves, that is cu...
AbstractWe define an invariant ‘bridge index’ for theta curves which are spatial graphs in the 3-sph...
We provide sharp lower bounds for two versions of the Kirby-Thompson invariants for knotted surfaces...
AbstractWe establish a new relationship between total curvature of knots and crossing number. If K i...
AbstractLet b∗(Γ) be the bridge index for a spatial embedding Γ:θn→R3 of a theta n-curve (n⩾3), and ...
The Fáry-Milnor Theorem states that the total curvature of a knot gamma, which is a simple closed cu...
Abstract. We construct quantum invariants for handlebody-knots in a 3-sphere S3. A handlebody-knot i...
AbstractIn [Math. Z. 61 (1954) 245], Schubert introduced an invariant of knots in the 3-sphere, call...
AbstractWe define sums of plane curves that generalize the idea of connected sum and show how Arnol'...
AbstractWe use a notion of chord diagrams to define their representations in Gauss diagrams of plane...
We introduce the concept of "claspers," which are surfaces in 3-manifolds with some additi...
Donovan and Wemyss [8] introduced the contraction algebra of flopping curves in 3-folds. When the fl...
Abstract. We construct the infinite sequence of invariants for curves in surfaces by using word theo...
Classically, the study of knots and links has proceeded topologically looking for features of knotte...
We investigate several integer invariants of curves in 3-space. We demonstrate relationship...
In this diploma thesis we first present basic definitions and properties of space curves, that is cu...
AbstractWe define an invariant ‘bridge index’ for theta curves which are spatial graphs in the 3-sph...
We provide sharp lower bounds for two versions of the Kirby-Thompson invariants for knotted surfaces...
AbstractWe establish a new relationship between total curvature of knots and crossing number. If K i...
AbstractLet b∗(Γ) be the bridge index for a spatial embedding Γ:θn→R3 of a theta n-curve (n⩾3), and ...
The Fáry-Milnor Theorem states that the total curvature of a knot gamma, which is a simple closed cu...
Abstract. We construct quantum invariants for handlebody-knots in a 3-sphere S3. A handlebody-knot i...
AbstractIn [Math. Z. 61 (1954) 245], Schubert introduced an invariant of knots in the 3-sphere, call...
AbstractWe define sums of plane curves that generalize the idea of connected sum and show how Arnol'...
AbstractWe use a notion of chord diagrams to define their representations in Gauss diagrams of plane...
We introduce the concept of "claspers," which are surfaces in 3-manifolds with some additi...
Donovan and Wemyss [8] introduced the contraction algebra of flopping curves in 3-folds. When the fl...
Abstract. We construct the infinite sequence of invariants for curves in surfaces by using word theo...
Classically, the study of knots and links has proceeded topologically looking for features of knotte...