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4 papers · 2 filters
Boundaries of Kleinian groups
Peter Haïssinsky, Luisa Paoluzzi, Genevieve Walsh
We review the theory of splittings of hyperbolic groups, as determined by the topology of the boundary. We give explicit examples of certain phenomena and then use this to describe…
Intersection norms on surfaces and Birkhoff cross sections
Pierre Dehornoy, Marcos Cossarini
For every finite collection of curves on a surface, we define an associated (semi-)norm on the first homology group of the surface. The unit ball of the dual norm is the convex hul…
Finite braid group orbits in Aff(C)-character varieties of the punctured sphere
Gaël Cousin, Delphine Moussard
We give a complete description of finite braid group orbits in Aff(C)-character varieties of the punctured Riemann sphere. This is performed thanks to a coalescence procedure and t…
Positive simplicial volume implies virtually positive Seifert volume for -manifolds
Pierre Derbez, Yi Liu, Hongbin Sun +1
In this paper, it is shown that for any closed orientable -manifold with positive simplicial volume, the growth of the Seifert volume of its finite covers is faster than the lin…