29 citations · 72 across the 20 of their papers we have counts for
24 papers
Fishing for complements
Lidia Angeleri Hügel, David Pauksztello, Jorge Vitória
Given a presilting object in a triangulated category, we find necessary and sufficient conditions for the existence of a complement. This is done both for classic (pre)silting obje…
Simple tilts of length hearts and simple-minded mutation
Nathan Broomhead, Raquel Coelho Simoes, David Pauksztello +1
We characterise when a simple Happel-Reiten-Smalo tilt of a length heart is again a length heart in terms of approximation theory and the existence of a stability condition with a…
The heart fan of an abelian category
Nathan Broomhead, David Pauksztello, David Ploog +1
We apply convex geometry (cones, fans) to homological input (abelian categories, hearts of bounded t-structures) to construct a new invariant of an abelian category, its heart fan.…
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…
Co-t-structures, cotilting and cotorsion pairs
David Pauksztello, Alexandra Zvonareva
Let be a triangulated category with shift functor . Suppose is a co-t-structure with coheart $\mathsf{S} =…
Functorially finite hearts, simple-minded systems in negative cluster categories, and noncrossing partitions
Raquel Coelho Simoes, David Pauksztello, David Ploog with an appendix by Raquel Coelho Simoes +1
Let be an acyclic quiver and be an integer. Let be the -cluster category of . We show that there is a bijection…