We adapt Bar-Natan's scanning algorithm for fast computations in (even) Khovanov homology to odd Khovanov homology. We use a mapping cone construction instead of a tensor product, which allows us to deal efficiently with the more complicated sign assignments in the odd theory. The algorithm has been implemented in a computer program. We also use the algorithm to determine the odd Khovanov homology of 3-strand torus links.Comment: 30 pages, 9 figures. For program file, see https://www.maths.dur.ac.uk/~dma0ds/KnotJob.zi
Doctor of PhilosophyDepartment of MathematicsDavid YetterIn this paper we give a new generalization ...
Given a knot, we ask how its Khovanov and Khovanov–Rozansky homologies change under the operation of...
We introduce Khovanov homology for ribbon graphs and show that the Khovanov homology of a certain ri...
Abstract. We investigate properties of the odd Khovanov homology, compare and contrast them with tho...
Khovanov homology ist a new link invariant, discovered by M. Khovanov, and used by J. Rasmussen to g...
Khovanov homology ist a new link invariant, discovered by M. Khovanov, and used by J. Rasmussen to g...
We construct a link surgery spectral sequence for all versions of monopole Floer homology with mod 2...
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 use a spanning tree model to prove a result of E. S. Lee on the support of Khovanov homology of a...
We use a spanning tree model to prove a result of E. S. Lee on the support of Khovanov homology of a...
In this thesis we study a certain generalization of Khovanov homology that unifies both the original...
In this thesis we study a certain generalization of Khovanov homology that unifies both the original...
<p>In the Khovanov homology of links, presence of <math><msub><mi>Z</mi><mn>2</mn></msub></math>-tor...
We show that the Khovanov complex of a connected link diagram D retracts to a subcomplex whose gener...
Doctor of PhilosophyDepartment of MathematicsDavid YetterIn this paper we give a new generalization ...
Given a knot, we ask how its Khovanov and Khovanov–Rozansky homologies change under the operation of...
We introduce Khovanov homology for ribbon graphs and show that the Khovanov homology of a certain ri...
Abstract. We investigate properties of the odd Khovanov homology, compare and contrast them with tho...
Khovanov homology ist a new link invariant, discovered by M. Khovanov, and used by J. Rasmussen to g...
Khovanov homology ist a new link invariant, discovered by M. Khovanov, and used by J. Rasmussen to g...
We construct a link surgery spectral sequence for all versions of monopole Floer homology with mod 2...
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 use a spanning tree model to prove a result of E. S. Lee on the support of Khovanov homology of a...
We use a spanning tree model to prove a result of E. S. Lee on the support of Khovanov homology of a...
In this thesis we study a certain generalization of Khovanov homology that unifies both the original...
In this thesis we study a certain generalization of Khovanov homology that unifies both the original...
<p>In the Khovanov homology of links, presence of <math><msub><mi>Z</mi><mn>2</mn></msub></math>-tor...
We show that the Khovanov complex of a connected link diagram D retracts to a subcomplex whose gener...
Doctor of PhilosophyDepartment of MathematicsDavid YetterIn this paper we give a new generalization ...
Given a knot, we ask how its Khovanov and Khovanov–Rozansky homologies change under the operation of...
We introduce Khovanov homology for ribbon graphs and show that the Khovanov homology of a certain ri...