4 citations · 6 across the 4 of their papers we have counts for
5 papers
Path homology of directed hypergraphs
Yuri Muranov, Anna Szczepkowska, Vladimir Vershinin
We describe various path homology theories constructed for a directed hypergraph. We introduce the category of directed hypergraphs and the notion of a homotopy in this category. A…
Semisimple subalgebras in simple Lie algebras and a computational approach to the compact Clifford-Klein forms problem
Maciej Bocheński, Piotr Jastrzębski, Anna Szczepkowska +2
In this paper we develop algorithms of finding homogeneous spaces of semisimple non-compact Lie groups which do not admit compact Clifford-Klein forms. We propose a computer progra…
On a classification of fat bundles over compact homogeneous spaces
Maciej Bochenski, Anna Szczepkowska, Aleksy Tralle +1
This article deals with fat bundles. Berard-Bergery classified all homogeneous bundles of that type. We ask a question of a possibility to generalize his description in the case of…
New constructions of symplectically fat fiber bundles
Maciej Bochenski, Anna Szczepkowska, Aleksy Tralle +1
This work is devoted to new constructions of symplectically fat fiber bundles. The latter are constructed in two ways: using the Kirwan map and expressing the fatness condition in…
On symplectically fat twistor bundles
Maciej Bochenski, Anna Szczepkowska, Aleksy Tralle +1
This paper deals with the question when are twistor bundles over homogeneous spaces symplectically fat? It shows that twistor bundles over even dimensional Grassmannians of maximal…