We determine a class of knots, which includes unknotting number one knots, within which Khovanov homology detects the unknot. A corollary is that the Khovanov homology of many satellite knots, including the Whitehead double, detects the unknot
We study a module structure on Khovanov homology, which we show is natural under the Ozsváth–Szabó s...
AbstractWe use Heegaard Floer homology to give obstructions to unknotting a knot with a single cross...
We prove that Khovanov homology detects the trefoils. Our proof incorporates an array of ideas in Fl...
We prove that a knot is the unknot if and only if its reduced Khovanov cohomology has rank 1. The pr...
We prove that Khovanov homology with coefficients in Z/2Z detects the (2, 5) torus knot. Our proof m...
Knot theory is the study of knots similar to those we encounter in everyday life. Two primary questi...
Abstract. We investigate properties of the odd Khovanov homology, compare and contrast them with tho...
We introduce the Alexander–Beck module of a knot as a canonical refinement of the classical Alexande...
We give examples of knots distinguished by the total rank of their Khovanov homology but sharing the...
We define a homology theory of virtual links built out of the direct sum of the standard Khovanov co...
There is no known algorithm for determining whether a knot has unknotting number one, practical or o...
The talk concerns the singular Floer homology of knots and links defined by Kronheimer and Mrowka us...
The Khovanov homology is a knot invariant which first appeared in Khovanov's original paper of 1999,...
I'll describe a simple proof (joint with Vela-Vick) that the rank of knot Floer homology detects the...
Khovanov homology is a combinatorially-defined invariant of knots and links, with various generaliza...
We study a module structure on Khovanov homology, which we show is natural under the Ozsváth–Szabó s...
AbstractWe use Heegaard Floer homology to give obstructions to unknotting a knot with a single cross...
We prove that Khovanov homology detects the trefoils. Our proof incorporates an array of ideas in Fl...
We prove that a knot is the unknot if and only if its reduced Khovanov cohomology has rank 1. The pr...
We prove that Khovanov homology with coefficients in Z/2Z detects the (2, 5) torus knot. Our proof m...
Knot theory is the study of knots similar to those we encounter in everyday life. Two primary questi...
Abstract. We investigate properties of the odd Khovanov homology, compare and contrast them with tho...
We introduce the Alexander–Beck module of a knot as a canonical refinement of the classical Alexande...
We give examples of knots distinguished by the total rank of their Khovanov homology but sharing the...
We define a homology theory of virtual links built out of the direct sum of the standard Khovanov co...
There is no known algorithm for determining whether a knot has unknotting number one, practical or o...
The talk concerns the singular Floer homology of knots and links defined by Kronheimer and Mrowka us...
The Khovanov homology is a knot invariant which first appeared in Khovanov's original paper of 1999,...
I'll describe a simple proof (joint with Vela-Vick) that the rank of knot Floer homology detects the...
Khovanov homology is a combinatorially-defined invariant of knots and links, with various generaliza...
We study a module structure on Khovanov homology, which we show is natural under the Ozsváth–Szabó s...
AbstractWe use Heegaard Floer homology to give obstructions to unknotting a knot with a single cross...
We prove that Khovanov homology detects the trefoils. Our proof incorporates an array of ideas in Fl...
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