15 citations · 43 across the 5 of their papers we have counts for
6 papers · 1 filter
A note on sub-bundles of vector bundles
William Crawley-Boevey, Bernt Tore Jensen
It is easy to imagine that a subvariety of a vector bundle, whose intersection with every fibre is a vector subspace of constant dimension, must necessarily be a sub-bundle. We giv…
Noncommutative Geometry and Quiver algebras
William Crawley-Boevey, Pavel Etingof, Victor Ginzburg
We develop a new framework for noncommutative differential geometry based on double derivations. This leads to the notion of moment map and of Hamiltonian reduction in noncommutati…
Indecomposable parabolic bundles and the existence of matrices in prescribed conjugacy class closures with product equal to the identity
William Crawley-Boevey
We study the possible dimension vectors of indecomposable parabolic bundles on the projective line, and use our answer to solve the problem of characterizing those collections of c…
Normality of Marsden-Weinstein reductions for representations of quivers
William Crawley-Boevey
We prove that the Marsden-Weinstein reductions for the moment map associated to representations of a quiver are normal varieties. We give an application to conjugacy classes of mat…
Irreducible components of varieties of modules
William Crawley-Boevey, Jan Schröer
We prove some basic results about irreducible components of varieties of modules for an arbitrary finitely generated associative algebra. Our work generalizes results of Kac and Sc…
Decomposition of Marsden-Weinstein reductions for representations of quivers
William Crawley-Boevey
We decompose the Marsden-Weinstein reductions for the moment map associated to representations of a quiver. The decomposition involves symmetric products of deformations of Kleinia…