4 citations · 31 across the 31 of their papers we have counts for
33 papers
Universal Structure of Graph Product Kernels
Ian J. Leary, Nansen Petrosyan
Let be a graph product over a finite simplicial graph , and let denote the kernel of the canonical homomorphism from to the direct product of its vertex groups…
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…
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.
-Betti numbers of Dehn fillings
Nansen Petrosyan, Bin Sun
We initiate the study of the -Betti numbers of group-theoretic Dehn fillings. For a broad class of virtually special groups , we prove that the -Betti numbers of suffi…
Cohomological characterisation of hyperbolicity
Francesco Milizia, Nansen Petrosyan, Alessandro Sisto +1
For any geodesic metric space , we give a complete cohomological characterisation of the hyperbolicity of in terms of vanishing of its second -cohomology. We…
Hyperbolicity and bounded-valued cohomology
Nansen Petrosyan, Vladimir Vankov
We generalise a theorem of Gersten on surjectivity of the restriction map in -cohomology of groups. This leads to applications on subgroups of hyperbolic groups, qua…