18 citations · 71 across the 19 of their papers we have counts for
24 papers
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…
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…
Displaying the cohomology of toric line bundles
Klaus Altmann, David Ploog
There is a standard method to calculate the cohomology of torus-invariant sheaves on a toric variety via the simplicial cohomology of associated subsets of the space $N_…
Exceptional sequences and spherical modules for the Auslander algebra of
Lutz Hille, David Ploog
We classify spherical modules and full exceptional sequences of modules over the Auslander algebra of . We categorify the left and right symmetric group actions on thes…
Tilting chains of negative curves on rational surfaces
Lutz Hille, David Ploog
We introduce the notion of exact tilting objects, which are partial tilting objects inducing an equivalence between the abelian category generated by and the category of mo…