10 citations · 13 across the 7 of their papers we have counts for
10 papers
Duality in Toric Topology
Jelena Grbić, Matthew Staniforth
We characterise integral Poincaré duality moment-angle complexes in combinatorial terms of the Fan-Wang duality of the simplicial complex ,…
The cohomology of the free loop spaces of
Matthew I. Burfitt, Jelena Grbić
We study the cohomology of the free loop space of , the simplest example of a complete flag manifolds and an important homogeneous space. Through this enhanced analysi…
A Unified Topological Approach to Data Science
Jelena Grbić, Jie Wu, Kelin Xia +1
We establish a new theory which gives a unified topological approach to data science, by being applicable both to point cloud data and to graph data, including networks beyond pair…
A new approach to mod 2 decompositions of BSU(2) and BSO(3)
Eva Belmont, Natàlia Castellana, Jelena Grbić +2
Dwyer, Miller and Wilkerson proved that at the prime 2, the classifying spaces of SU(2) and SO(3) can be obtained as a homotopy pushout of the classifying spaces of certain subgrou…
One-relator groups and algebras related to polyhedral products
Jelena Grbić, Marina Ilyasova, Taras Panov +1
We link distinct concepts of geometric group theory and homotopy theory through underlying combinatorics. For a flag simplicial complex , we specify a necessary and sufficient c…
Non-trivial higher Massey products in moment-angle complexes
Jelena Grbić, Abigail Linton
As part of various obstruction theories, non-trivial Massey products have been studied in symplectic and complex geometry, commutative algebra and topology for a long time. We intr…
The cohomology of free loop spaces of rank 2 flag manifolds
Matthew I. Burfitt, Jelena Grbić
A complete flag manifold is the quotient of a Lie group by its maximal torus. The rank of a flag manifold is the dimension of the maximal torus of the Lie group. The rank 2 complet…
Simplicial -complexes and representation stability of polyhedral products
Xin Fu, Jelena Grbić
Representation stability in the sense of Church-Farb is concerned with stable properties of representations of sequences of algebraic structures, in particular of groups. We study…
-category of moment-angle manifolds and higher order Massey products
Piotr Beben, Jelena Grbić
Using the combinatorics of the underlying simplicial complex , we give various upper and lower bounds for the Lusternik-Schnirelmann (LS) category of moment-angle complexes $\zk…
Configuration Spaces and Polyhedral Products
Piotr Beben, Jelena Grbić
This paper aims to find the most general combinatorial conditions under which a moment-angle complex is a co--space, thus splitting unstably in terms of its full s…