Raphael Zentner

activity

20032025

most citedInteger homology 3-spheres admit irreducible representations in SL(2,C)

31 citations · 104 across the 23 of their papers we have counts for

collaborators

24 papers

math.GT2025

Homology lens spaces and $SL (2, C)$

Sudipta Ghosh, Steven Sivek, Raphael Zentner

We prove that if $Y$ is a closed, oriented 3-manifold with first homology $H_{1} (Y; Z)$ of order less than $5$ , then there is an irreducible representation $π_1(Y) \to \mathr…

math.GT2023

Rational homology 3-spheres and SL(2, $C$ ) representations

Sudipta Ghosh, Steven Sivek, Raphael Zentner

We use instanton gauge theory to prove that if $Y$ is a closed, orientable $3$ -manifold such that $H_{1} (Y; Z)$ is nontrivial and either $2$ -torsion or $3$ -torsion, and if $Y…

math.GT2022

Rational homology ribbon cobordism is a partial order

Stefan Friedl, Filip Misev, Raphael Zentner

We show that ribbon rational homology cobordism is a partial order within the class of irreducible 3-manifolds. This makes essential use of the methods recently employed by Ian Ago…

math.GT2021

The Montesinos trick for proper rational tangle replacement

Duncan McCoy, Raphael Zentner

Recently Iltgen, Lewark and Marino introduced the concept of a proper rational tangle replacement and the corresponding notion of the proper rational unknotting number. In this not…

math.GT2021★ 6 cited

Toroidal homology spheres and SU(2)-representations

Tye Lidman, Juanita Pinzón-Caicedo, Raphael Zentner

We prove that if an integer homology three-sphere contains an embedded incompressible torus, then its fundamental group admits irreducible SU(2)-representations. Our methods use in…

math.GT2019

Surgery obstructions and character varieties

Steven Sivek, Raphael Zentner

We provide infinitely many rational homology 3-spheres with weight-one fundamental groups which do not arise from Dehn surgery on knots in $S^{3}$ . In contrast with previously known…