We consider generalizations of the Gale-Shapley (1962) Stable Marriage Problem to threesided families. Alkan (1988) gave an example which shows that in the case of general preferences stable… (More)

Using the diagrammatic calculus for Soergel bimodules, developed by Elias and Khovanov, as well as Rasmussen's spectral sequence, we construct an integral version of HOMFLY-PT and sln-link homology.

Using the diagrammatic calculus for Soergel bimodules developed by B. Elias and M. Khovanov, we show that Rouquier complexes are functorial over braid cobordisms. We explicitly describe the chain… (More)

For every positive integer n we construct a bigraded homology theory for links, such that the corresponding invariant of the unknot is closely related to the U(n)-equivariant cohomology ring of CP;… (More)

__________________________________________________ In this paper, I undertake to apply the de dicto/de re distinction familiar to philosophers of language from objects to properties. To do this, I… (More)

We investigate the Khovanov-Rozansky invariant of a certain tangle and its compositions. Surprisingly the complexes we encounter reduce to ones that are very simple. Furthermore, we discuss a “local”… (More)

For every positive integer n we construct a bigraded homology theory for links, such that the corresponding invariant of the unknot is closely related to the U(n)-equivariant cohomology ring of CP;… (More)

We investigate the Khovanov-Rozansky invariant of a certain tangle and its compositions. Surprisingly the complexes we encounter reduce to ones that are very simple. Furthermore, we discuss a “local”… (More)

Let S be a finite set of points in the plane, X ⊆ S, and z a point not in S. We say that X is a z–containing set if z is in the interior of the convex hull of X. Also X is a z–avoiding set if z is… (More)