3 citations · 4 across the 2 of their papers we have counts for
7 papers
Equivariant-constructible Koszul duality for dual toric varieties
Tom Braden, Valery A. Lunts
For a pair of affine toric varieties X and Y defined by dual cones, we define an equivalence between two triangulated categories. The first is a mixed version of the equivariant de…
Koszul duality for toric varieties
Tom Braden
We show that certain categories of perverse sheaves on a pair of affine toric varieties defined by dual cones are Koszul dual in the sense of Beilinson, Ginzburg and Soergel. The f…
Lower bounds for Kazhdan-Lusztig polynomials from patterns
Sara Billey, Tom Braden
We give a lower bound for the value at q=1 of a Kazhdan-Lustig polynomial in a Weyl group W in terms of "patterns''. This is expressed by a "pattern map" from W to W' for any parab…
Hyperbolic localization of intersection cohomology
Tom Braden
For a normal variety X defined over an algebraically closed field with an action of the multiplicative group G_m, we consider the ``hyperbolic localization'' functor from D^b(X) to…
From moment graphs to intersection cohomology
Tom Braden, Robert MacPherson
We describe a method of computing equivariant and ordinary intersection cohomology of certain varieties with actions of algebraic tori, in terms of structure of the zero- and one-d…
On the reducibility of characteristic varieties
Tom Braden
We present a result which can be used for stratifications with conical singularities to deduce that a perverse sheaf (in particular, an intersection homology sheaf) has reducible c…