96 citations · 342 across the 37 of their papers we have counts for
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Intersection cohomology of hypertoric varieties
Nicholas Proudfoot, Ben Webster
A hypertoric variety is a quaternionic analogue of a toric variety. Just as the topology of toric varieties is closely related to the combinatorics of polytopes, the topology of hy…
A Broken Circuit Ring
Nicholas J. Proudfoot, David E. Speyer
Given a matroid M represented by a linear subspace L in n-space (equivalently by an arrangement of n hyperplanes in L), we define a graded ring R(L) which degenerates to the Stanle…
Hyperplane arrangements and K-theory
Nicholas J. Proudfoot
We study the Z/2-equivariant K-theory of the complement of the complexification of a real hyperplane arrangement. We compute the rational K and KO rings, and give two different com…
Hyperkahler analogues of Kahler quotients
Nicholas J. Proudfoot
Let X be a Kahler manifold that is presented as a Kahler quotient of C^n by the linear action of a compact group G. We define the hyperkahler analogue M of X as a hyperkahler quoti…