N. Petrosyan

collaborators

5 papers

math.GR2026

Universal Structure of Graph Product Kernels

Ian J. Leary, Nansen Petrosyan

Let $G_{I^} $ be a graph product over a finite simplicial graph $I^$ , and let $K_{I^} $ denote the kernel of the canonical homomorphism from $G_{I^} $ to the direct product of its vertex gr…

math.GR2025

Cohomological characterisation of hyperbolicity

Francesco Milizia, Nansen Petrosyan, Alessandro Sisto +1

For any geodesic metric space $X$ , we give a complete cohomological characterisation of the hyperbolicity of $X$ in terms of vanishing of its second $ℓ^{\infty}$ -cohomology. We…

math.KT2025

Dehn fillings, equivariant homology, and the Baum-Connes conjecture

Shintaro Nishikawa, Nansen Petrosyan

We establish a connection between Cohen-Lyndon triples and equivariant homology theory, with a focus on the Baum-Connes conjecture. In the first part of this work, we establish an…

math.GR2025

Simple groups with strong fixed-point properties

Nansen Petrosyan

We exhibit finitely generated torsion-free groups for which any action on any finite-dimensional CW-complex with finite Betti numbers has a global fixed point.

math.GR2025

$L^{2}$ -Betti numbers of Dehn fillings

Nansen Petrosyan, Bin Sun

We initiate the study of the $L^{2}$ -Betti numbers of group-theoretic Dehn fillings. For a broad class of virtually special groups $G$ , we prove that the $L^{2}$ -Betti numbers of suffi…

Universal Structure of Graph Product Kernels

Cohomological characterisation of hyperbolicity

Dehn fillings, equivariant homology, and the Baum-Connes conjecture

Simple groups with strong fixed-point properties

L2-Betti numbers of Dehn fillings

$L^{2}$ -Betti numbers of Dehn fillings