43 citations · 112 across the 17 of their papers we have counts for
18 papers
Partial compactification of stability manifolds via massless semistable objects
Nathan Broomhead, David Pauksztello, David Ploog +1
We introduce two extensions of the space of Bridgeland stability conditions of a triangulated category. First we consider lax stability conditions where semistable objects are allo…
Mass-growth of triangulated auto-equivalences
Jon Woolf
We relate the mass growth (with respect to a stability condition) of an exact auto-equivalence of a triangulated category to the dynamical behaviour of its action on the space of s…
Perverse sheaves and finite-dimensional algebras
Alessio Cipriani, Jon Woolf
Let be a topologically stratified space, be any perversity on , and be a field. We show that the category of -perverse sheaves on , constructible with respect…
Witt groups of abelian categories and perverse sheaves
Jörg Schürmann, Jon Woolf
In this paper we study the Witt groups of symmetric and anti-symmetric forms on perverse sheaves on a finite-dimensional topologically stratified space with even dimensional strata…
Surjectivity of the hyperkähler Kirwan map
Jonathan Fisher, Lisa Jeffrey, Young-Hoon Kiem +2
We study a class of group actions on hyperkähler manifolds which we call actions of linear type. If is a hyperkähler manifold possessing such a -action, the hyperkähler Kirw…
Contractible stability spaces and faithful braid group actions
Yu Qiu, Jon Woolf
We prove that any `finite-type' component of a stability space of a triangulated category is contractible. The motivating example of such a component is the stability space of the…