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19972026
most citedNetworks beyond pairwise interactions: structure and dynamics

1.6k citations

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55 papers · 1 filter

math.GT2024

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.GT2024★ 1 cited

Infinite Translation Surfaces in the Wild

Vincent Delecroix, Pascal Hubert, Ferrán Valdez

This book explores infinite-type translation surfaces and is intended as an introductory text for graduate and PhD students, as well as a reference for more advanced researchers. C…

math.GT2024

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…

math.GT2023

Higher order Kirk invariants of link maps

Benjamin Audoux, Jean-Baptiste Meilhan, Akira Yasuhara

We define numerical link-homotopy invariants of link maps of any number of components, which naturally generalize the Kirk invariant. The Kirk invariant is a link-homotopy invarian…

math.GT2023

Welded graphs, Wirtinger groups and knotted punctured spheres

Benjamin Audoux, Jean-Baptiste Meilhan, Akira Yasuhara

We develop a general diagrammatic theory of welded graphs, and provide an extension of Satoh's Tube map from welded graphs to ribbon surface-links. As a topological application, we…

math.GT2023

On some stable representations of hyperbolic groups

Ulysse Remfort-Aurat

Let be a hyperbolic group and G be the isometry group of a Gromov-hyperbolic, properand geodesic metric space. We study the action of the outer automorphism group Out() onth…