15 citations · 16 across the 5 of their papers we have counts for
9 papers
Non-commutative counting and stability
Arkadij Bojko, George Dimitrov
The second author and Katzarkov introduced categorical invariants based on counting of full triangulated subcategories in a given triangulated category , and they demon…
More finite sets coming from non-commutative counting
George Dimitrov, Ludmil Katzarkov
In our previous papers we introduced categorical invariants, which are, roughly speaking, sets of triangulated subcategories in a given triangulated category and their quotients. H…
Non-commutative counting invariants and curve complexes
George Dimitrov, Ludmil Katzarkov
In our previous paper, viewing as a non-commutative curve, where is the Kronecker quiver with -arrows, we introduced categorical invariants via counting of no…
Some new categorical invariants
George Dimitrov, Ludmil Katzarkov
We introduce several notions and give examples. We prove that for , where is -Kronecker quiver. This is…
Bridgeland stability conditions on the acyclic triangular quiver
George Dimitrov, Ludmil Katzarkov
Using results in a previous paper "Non-semistable exceptional objects in hereditary categories", we focus here on studying the topology of the space of Bridgeland stability conditi…
Non-semistable exceptional objects in hereditary categories: some remarks and conjectures
George Dimitrov, Ludmil Katzarkov
In our previous paper we studied non-semistable exceptional objects in hereditary categories and introduced the notion of regularity preserving category, but we obtained quite a fe…
Non-semistable exceptional objects in hereditary categories
George Dimitrov, Ludmil Katzarkov
For a given stability condition on a triangulated category we define a -exceptional collection as an Ext-exceptional collection, whose elements are -semistable with phase…
Dynamical systems and categories
George Dimitrov, Fabian Haiden, Ludmil Katzarkov +1
We study questions motivated by results in the classical theory of dynamical systems in the context of triangulated and A-infinity categories. First, entropy is defined for exact e…
Homogeneous Hypercomplex Structures II - Coset Spaces of compact Lie Groups
George Dimitrov, Vasil Tsanov
We obtain a complete classification of hypercomplex manifolds, on which a compact group of automorphisms acts transitively. The description of the spaces as well as the proofs of o…