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5 papers · 2 filters
Homology of Distributive Lattices
Jozef H. Przytycki, Krzysztof K. Putyra
We outline the theory of sets with distributive operations: multishelves and multispindles, with examples provided by semi-lattices, lattices and skew lattices. For every such a st…
Simplified Khovanov-Rozansky Chain Complexes of Open 2-braids
Hao Wu
Motivated by the works of Krasner [arXiv:0801.4018] and Lobb [arXiv:1103.1412], we simplify the Khovanov-Rozansky chain complexes of open 2-braids. As an application, we show that,…
The Trieste look at Knot Theory
Jozef H. Przytycki
This paper is base on talks which I gave in May, 2010 at Workshop in Trieste (ICTP). In the first part we present an introduction to knots and knot theory from an historical perspe…
Distributive Products and Their Homology
Jozef H. Przytycki, Adam S. Sikora
We develop a theory of sets with distributive products (called shelves and multi-shelves) and of their homology. We relate the shelf homology to the rack and quandle homology.
Colored Morton-Franks-Williams inequalities
Hao Wu
We generalize the Morton-Franks-Williams inequality to the colored link homology defined in arXiv:0907.0695, which gives infinitely many new bounds for the braid…