Cohomology theory of links, introduced by the author, is combinatorial. Dror Bar-Natan recently wrote a program that found ranks of cohomology groups of all prime knots with up to 11 crossings. His surprising experimental data is discussed in this note
Khovanov homology ist a new link invariant, discovered by M. Khovanov, and used by J. Rasmussen to g...
The tabulation of all prime knots up to a given number of crossings was one of the founding problems...
We study the maps induced on link Floer homology by elementary decorated link cobordisms. We compute...
Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2003.Includes bibliogra...
In the past 50 years, knot theory has become an extremely well-developed subject. But there remain s...
The present monograph is devoted to low-dimensional topology in the context of two thriving theories...
Since discovery of the Jones polynomial, knot theory has enjoyed a virtual explosion of important re...
The structure of classical minimal prime knot presentations suggests that there are often, perhaps a...
A general method of constructing combinatorial formulas detecting non-equivalence of knots in R3 is ...
This chapter gives an expository account of some unexpected connections which have arisen over the l...
We give a method to construct non symmetric solutions of a global tetrahedron equation. The solution...
. We propose a new method of computing cohomology groups of spaces of knots in R n , n 3, based o...
The purpose of this thesis is to study link cobordisms. The main tool we use to do so is given by Ju...
We shall explain how knot, link and tangle enumeration problems can be expressed as matrix integrals...
First calculations of cohomology classes (including zero-dimensional classes, i.e. the numerical inv...
Khovanov homology ist a new link invariant, discovered by M. Khovanov, and used by J. Rasmussen to g...
The tabulation of all prime knots up to a given number of crossings was one of the founding problems...
We study the maps induced on link Floer homology by elementary decorated link cobordisms. We compute...
Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2003.Includes bibliogra...
In the past 50 years, knot theory has become an extremely well-developed subject. But there remain s...
The present monograph is devoted to low-dimensional topology in the context of two thriving theories...
Since discovery of the Jones polynomial, knot theory has enjoyed a virtual explosion of important re...
The structure of classical minimal prime knot presentations suggests that there are often, perhaps a...
A general method of constructing combinatorial formulas detecting non-equivalence of knots in R3 is ...
This chapter gives an expository account of some unexpected connections which have arisen over the l...
We give a method to construct non symmetric solutions of a global tetrahedron equation. The solution...
. We propose a new method of computing cohomology groups of spaces of knots in R n , n 3, based o...
The purpose of this thesis is to study link cobordisms. The main tool we use to do so is given by Ju...
We shall explain how knot, link and tangle enumeration problems can be expressed as matrix integrals...
First calculations of cohomology classes (including zero-dimensional classes, i.e. the numerical inv...
Khovanov homology ist a new link invariant, discovered by M. Khovanov, and used by J. Rasmussen to g...
The tabulation of all prime knots up to a given number of crossings was one of the founding problems...
We study the maps induced on link Floer homology by elementary decorated link cobordisms. We compute...