Add to ORKGAbstract We count the number of conjugacy classes of maximal, genus g, surface subroups in hyperbolic 3-manifold groups. For any closed hy-perbolic 3-manifold, we show that there is an upper bound on this number which grows factorially with g. We also give a class of closed hyperbolic 3-manifolds for which there is a lower bound of the same type. AMS Classification 57M50; 57N16, 57M2
number of isometrically distinct immersions of a closed surface of genus one into R3 with constant m...
17 pagesInternational audienceLet $S$ be a closed orientable hyperbolic surface, and let $\mathcal{O...
Let G be a word-hyperbolic group, obtained as a graph of free groups amalgamated along cyclic subgro...
Abstract We count the number of conjugacy classes of maximal, genus g, surface subroups in hyperboli...
Let M^3 be a closed hyperbolic three-manifold. We show that the number of genus g surface subgroups ...
This paper presents some finiteness results for the number of boundary slopes of immersed e...
Given a complete hyperbolic 3-manifold $N$, one can ask whether its fundamentalgroup $\Gamma=\pi_1N$...
AbstractIf g is an integer ⩾2, and M is a closed simple 3-manifold such that π1(M) has a subgroup is...
For any hyperbolic 3-manifold M with totally geodesic boundary, there are finitely many boundary slo...
We establish new strong lower bounds on the (subnormal) subgroup growth of a large class of groups. ...
Abstract. The so-called kissing number for hyperbolic surfaces is the maximum number of homotopicall...
Under mild topological restrictions, we obtain new linear upper bounds for the dimension of the mod ...
Some conjectures about Heegaard genera and ranks of fundamental groups of 3– manifolds are formulate...
Abstract. We prove that there are only finitely many closed hy-perbolic 3-manifolds with injectivity...
We survey our recent results including the Surface Subgroup Theorem and the Ehrenpreis Conjecture. ...
number of isometrically distinct immersions of a closed surface of genus one into R3 with constant m...
17 pagesInternational audienceLet $S$ be a closed orientable hyperbolic surface, and let $\mathcal{O...
Let G be a word-hyperbolic group, obtained as a graph of free groups amalgamated along cyclic subgro...
Abstract We count the number of conjugacy classes of maximal, genus g, surface subroups in hyperboli...
Let M^3 be a closed hyperbolic three-manifold. We show that the number of genus g surface subgroups ...
This paper presents some finiteness results for the number of boundary slopes of immersed e...
Given a complete hyperbolic 3-manifold $N$, one can ask whether its fundamentalgroup $\Gamma=\pi_1N$...
AbstractIf g is an integer ⩾2, and M is a closed simple 3-manifold such that π1(M) has a subgroup is...
For any hyperbolic 3-manifold M with totally geodesic boundary, there are finitely many boundary slo...
We establish new strong lower bounds on the (subnormal) subgroup growth of a large class of groups. ...
Abstract. The so-called kissing number for hyperbolic surfaces is the maximum number of homotopicall...
Under mild topological restrictions, we obtain new linear upper bounds for the dimension of the mod ...
Some conjectures about Heegaard genera and ranks of fundamental groups of 3– manifolds are formulate...
Abstract. We prove that there are only finitely many closed hy-perbolic 3-manifolds with injectivity...
We survey our recent results including the Surface Subgroup Theorem and the Ehrenpreis Conjecture. ...
number of isometrically distinct immersions of a closed surface of genus one into R3 with constant m...
17 pagesInternational audienceLet $S$ be a closed orientable hyperbolic surface, and let $\mathcal{O...
Let G be a word-hyperbolic group, obtained as a graph of free groups amalgamated along cyclic subgro...