2 citations · 2 across the 2 of their papers we have counts for
4 papers · 1 filter
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…
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…
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.…
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…