11 citations · 27 across the 8 of their papers we have counts for
9 papers
A nonhausdorff model for the complement of a complexified arrangement
Nicholas J. Proudfoot
Given a hyperplane arrangement A in a real vector space, we introduce a real algebraic prevariety Z(A), and exhibit the complement of the complexification of A as the total space o…
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…
Abelianization for hyperkahler quotients
Tamas Hausel, Nicholas Proudfoot
We study an integration theory in circle equivariant cohomology in order to prove a theorem relating the cohomology ring of a hyperkahler quotient to the cohomology ring of the quo…
Hyperpolygon spaces and their cores
Megumi Harada, Nicholas J. Proudfoot
Given an n-tuple of positive real numbers, Konno defines an algebraic variety called a hyperpolygon space, a hyperkahler analogue of the Kahler variety parametrizing spacial polygo…