output
19952026
most citedHyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces

224 citations

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Showing 2013 · math.GTShow all

8 papers · 2 filters

math.GT2013

Real reflections, commutators and cross-ratios in complex hyperbolic space

Julien Paupert, Pierre Will

We provide a concrete criterion to determine whether or not two given elements of PU(2,1) can be written as products of real reflections, with one reflection in common. As an appli…

math.GT2013★ 5 cited

GL^+(2,R)-orbits in Prym eigenform loci

Erwan Lanneau, Duc-Manh Nguyen

This paper is devoted to the classification of GL^+(2,R)-orbit closures of surfaces in the intersection of the Prym eigenform locus with various strata of quadratic differentials.…

math.GT2013★ 5 cited

Trefoil Plumbing

Sebastian Baader, Pierre Dehornoy

We give a criterion for an open book to contain an n-times iterated Hopf plumbing summand. As an application, we show that fibre surfaces of positive braid knots admit a trefoil pl…

math.GT2013★ 8 cited

A universal equivariant finite type knot invariant defined from configuration space integrals

Christine Lescop

In a previous article, we constructed an invariant Z for null-homologous knots in rational homology spheres, from equivariant intersections in configuration spaces. Here we present…

math.GT2013★ 7 cited

On complex line arrangements and their boundary manifolds

Vincent Florens, Benoît Guerville-Ballé, Miguel Marco Buzunariz

Let A be a line arrangement in the complex projective plane CP2. We define and describe the inclusion map of the boundary manifold --the boundary of a close regular neighborhood of…

math.GT2013★ 38 cited

Complex hyperbolic geometry of the figure eight knot

Martin Deraux, Elisha Falbel

We show that the figure eight knot complement admits a uniformizable spherical CR structure, i.e. it occurs as the manifold at infinity of a complex hyperbolic orbifold. The unifor…