We prove that any link in S^3 whose Khovanov homology is the same as that of a Hopf link must be isotopic to that Hopf link. This holds for both reduced and unreduced Khovanov homology, and with coefficients in either Z or Z/2Z
We use a special kind of 2-dimensional extended Topological Quantum Field Theories (TQFTs), so-calle...
We prove that Khovanov homology and Lee homology with coefficients in F2=Z/2Zare invariant under com...
There are a number of homological knot invariants, each satisfying an unoriented skein exact sequenc...
We study a module structure on Khovanov homology, which we show is natural under the Ozsváth–Szabó s...
Khovanov homology ist a new link invariant, discovered by M. Khovanov, and used by J. Rasmussen to g...
We introduce the notion of a Khovanov–Floer theory. We prove that every page (after ) of the spectra...
We prove that a knot is the unknot if and only if its reduced Khovanov cohomology has rank 1. The pr...
Given an oriented link diagram we construct a spectrum whose homotopy type is a link invariant and w...
Lawrence Roberts, extending the work of Ozsvath-Szabo, showed how to associate to a link, L, in the ...
Given a link diagram L we construct spectra X^j(L) so that the Khovanov homology Kh^{i,j}(L) is isom...
Thesis advisor: Julia Elisenda GrigsbyIn 1999, Khovanov constructed a combinatorial categorification...
Abstract. We construct a new spectral sequence beginning at the Khovanov homology of a link and conv...
AbstractWe construct an endomorphism of the Khovanov invariant to prove H-thinness and pairing pheno...
We construct equivariant Khovanov spectra for periodic links, using the Burnside functor constructio...
We construct a link surgery spectral sequence for all versions of monopole Floer homology with mod 2...
We use a special kind of 2-dimensional extended Topological Quantum Field Theories (TQFTs), so-calle...
We prove that Khovanov homology and Lee homology with coefficients in F2=Z/2Zare invariant under com...
There are a number of homological knot invariants, each satisfying an unoriented skein exact sequenc...
We study a module structure on Khovanov homology, which we show is natural under the Ozsváth–Szabó s...
Khovanov homology ist a new link invariant, discovered by M. Khovanov, and used by J. Rasmussen to g...
We introduce the notion of a Khovanov–Floer theory. We prove that every page (after ) of the spectra...
We prove that a knot is the unknot if and only if its reduced Khovanov cohomology has rank 1. The pr...
Given an oriented link diagram we construct a spectrum whose homotopy type is a link invariant and w...
Lawrence Roberts, extending the work of Ozsvath-Szabo, showed how to associate to a link, L, in the ...
Given a link diagram L we construct spectra X^j(L) so that the Khovanov homology Kh^{i,j}(L) is isom...
Thesis advisor: Julia Elisenda GrigsbyIn 1999, Khovanov constructed a combinatorial categorification...
Abstract. We construct a new spectral sequence beginning at the Khovanov homology of a link and conv...
AbstractWe construct an endomorphism of the Khovanov invariant to prove H-thinness and pairing pheno...
We construct equivariant Khovanov spectra for periodic links, using the Burnside functor constructio...
We construct a link surgery spectral sequence for all versions of monopole Floer homology with mod 2...
We use a special kind of 2-dimensional extended Topological Quantum Field Theories (TQFTs), so-calle...
We prove that Khovanov homology and Lee homology with coefficients in F2=Z/2Zare invariant under com...
There are a number of homological knot invariants, each satisfying an unoriented skein exact sequenc...