The fundamental group of a closed surface of genus at least two admits a natural action on the curve complex of the surface with one puncture. Combining ideas from previous work of Kent-Leininger-Schleimer and Mitra, we construct a Universal Cannon-Thurston map from a subset of the circle at infinity for the closed surface group onto the boundary of the curve complex of the once-punctured surface. Further, we show that the boundary of this curve complex is locally path-connected
In 1996, Masur and Minsky showed that the curve graph is hyperbolic. Recently, Hensel, Przytycki, an...
We give a brief survey of some recent work on 3-manifolds, notably towards proving Thurston's ending...
We define and study analogs of curve graphs for infinite type surfaces. Our definitions use the geom...
The fundamental group of a closed surface of genus at least two admits a natural action on the curve...
In genus two and higher, the fundamental group of a closed surface acts naturally on the curve compl...
Using the Birman exact sequence for pure mapping class groups, we construct a universal Cannon-Thurs...
The notion of i-bounded geometry generalises simultaneously bounded geometry and the geometry of pun...
We prove that for any closed surface of genus at least four, and any punctured surface of genus at ...
AbstractWe give an elementary proof of the Cannon–Thurston Theorem in the case of the Gieseking mani...
The curve complex of a closed surface S of genus g ≥ 2, C(S), is the complex whose vertices are isot...
Let N=?3/Γ be a hyperbolic 3-manifold with free fundamental group π1(N)≅Γ≅, such that [A,B] is parab...
When $1\to H\to G\to Q\to 1$ is a short exact sequence of three word-hyperbolic groups, Mahan Mitra ...
We prove the existence of continuous boundary extensions (Cannon-Thurston maps) for the inclusion of...
We study the coarse geometry of curve graphs and related graphs for connected, compact, orientable s...
peer reviewedWe study the geometry of the foliation by constant Gaussian curvature surfaces (S_k)_k ...
In 1996, Masur and Minsky showed that the curve graph is hyperbolic. Recently, Hensel, Przytycki, an...
We give a brief survey of some recent work on 3-manifolds, notably towards proving Thurston's ending...
We define and study analogs of curve graphs for infinite type surfaces. Our definitions use the geom...
The fundamental group of a closed surface of genus at least two admits a natural action on the curve...
In genus two and higher, the fundamental group of a closed surface acts naturally on the curve compl...
Using the Birman exact sequence for pure mapping class groups, we construct a universal Cannon-Thurs...
The notion of i-bounded geometry generalises simultaneously bounded geometry and the geometry of pun...
We prove that for any closed surface of genus at least four, and any punctured surface of genus at ...
AbstractWe give an elementary proof of the Cannon–Thurston Theorem in the case of the Gieseking mani...
The curve complex of a closed surface S of genus g ≥ 2, C(S), is the complex whose vertices are isot...
Let N=?3/Γ be a hyperbolic 3-manifold with free fundamental group π1(N)≅Γ≅, such that [A,B] is parab...
When $1\to H\to G\to Q\to 1$ is a short exact sequence of three word-hyperbolic groups, Mahan Mitra ...
We prove the existence of continuous boundary extensions (Cannon-Thurston maps) for the inclusion of...
We study the coarse geometry of curve graphs and related graphs for connected, compact, orientable s...
peer reviewedWe study the geometry of the foliation by constant Gaussian curvature surfaces (S_k)_k ...
In 1996, Masur and Minsky showed that the curve graph is hyperbolic. Recently, Hensel, Przytycki, an...
We give a brief survey of some recent work on 3-manifolds, notably towards proving Thurston's ending...
We define and study analogs of curve graphs for infinite type surfaces. Our definitions use the geom...
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