1 citations · 2 across the 4 of their papers we have counts for
7 papers
Symmetric cohomology of groups and Poincaré duality
Mariam Pirashvili, Teimuraz Pirashvili
Let be a finite group of order and let be a -module. We construct groups for which where $M^{…
On the nonabelian cohomology with coefficients in a crossed module
Mariam Pirashvili
This paper is concerned with the nonabelian cohomology of groups with coefficients in crossed modules. These objects were introduced by Dedecker and studied by Breen, Borovoi, Nooh…
On the complexity of zero-dimensional multiparameter persistence
Jacek Brodzki, Matthew Burfitt, Mariam Pirashvili
Multiparameter persistence is a natural extension of the well-known persistent homology, which has attracted a lot of interest. However, there are major theoretical obstacles preve…
An outline of obstruction theories of extensions via track categories
Mariam Pirashvili
Abelian track categories can be classified via the third Baues-Wirsching cohomology of small categories. This approach is used in this paper to compare and classify different gener…
Topology and geometry of molecular conformational spaces and energy landscapes
Ingrid Membrillo-Solis, Mariam Pirashvili, Lee Steinberg +2
Understanding the geometry and topology of configuration or conformational spaces of molecules has relevant applications in chemistry and biology such as the proteins folding probl…
Crossed modules and symmetric cohomology of groups
Mariam Pirashvili
This paper links the third symmetric cohomology (introduced by Staic and Zarelua ) to crossed modules with certain properties. The equivalent result in the language of 2-groups sta…