most citedConstruction of negatively curved complete intersections

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math.GT2026

Milnor-type invariants for surface-links and cut-diagrams

Benjamin Audoux, Jean-Baptiste Meilhan, Akira Yasuhara

We generalize Milnor link invariants to surface-links in 4-space, possibly with boundary. To this end, we introduce the notion of cut-diagram, which is a 2-dimensional analogue of…

math.GT2026★ 1 cited

Quasi-isometric rigidity of three manifold groups

Peter Haïssinsky, Cyril Lecuire

We provide a proof that the classes of finitely generated Kleinian groups and of three-manifold groups are quasi-isometrically rigid.

math.GT2026

On groups with Schottky set boundary

Peter Haïssinsky, Luisa Paoluzzi, Genevieve Walsh

We study relatively hyperbolic group pairs whose boundaries are Schottky sets. We characterize the groups that have boundaries where the Schottky sets have incidence graphs with 1…

math.GT2026

Multiplicity of non-acyclic -representations and L-functions of the odd-twisted Whitehead links

Léo Bénard, Ryoto Tange, Anh T. Tran +1

We study the divisor of the Reidemeister torsion on the variety of irreducible -characters of certain knots and links, and provide a geometric interpretation…

math.GT2026

Drilling hyperbolic groups

Daniel Groves, Peter Haïssinsky, Jason F. Manning +3

Given a hyperbolic group and a maximal infinite cyclic subgroup , we define a {\it drilling of along }, which is a relatively hyperbolic group pair $(…

math.GT2026

Diameter of a new model of random hyperbolic surfaces

Joffrey Mathien

The study of random surfaces, especially in the asymptotics of large genus, has been of increasing interest in recent years. Many geometrical questions have analogous formulations…