N. Petrosyan

activity

20042026

most citedClassification of Singular Fibres on Rational Elliptic Surfaces in Characteristic Three

4 citations · 31 across the 31 of their papers we have counts for

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3 papers · 1 filter

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…

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