Add to ORKGABSTRACT. We show that for a surface Σ, the subgraph of the pants graph determined by fixing a collection of curves that cut Σ into pairs of pants, once-punctured tori, and four-times-punctured spheres is totally geodesic. The main theorem resolves a special case of a conjecture made in [APS08] and has the implication that an embedded product of Farey graphs in any pants graph is totally geodesic. In addition, we show that a pants graph contains a convex n-flat if and only if it contains an n-quasi-flat. 1
Abstract. Our goal is to show, in two different contexts, that “random ” surfaces have large pants d...
Spatial graphs in the three-dimensional sphere are constructed from strongly invertible knots. Such ...
The curve graph, g, associated to a compact surface Sigma is the 1-skeleton of the curve complex def...
ABSTRACT. We show that for a surface Σ, the subgraph of the pants graph determined by fixing a colle...
Our main theorem identifies a class of totally geodesic subgraphs of the 1-skeleton of the pants com...
Our main theorem identifies a class of totally geodesic subgraphs of the 1-skeleton of the pants com...
In recent work of Brock's, the pants graph is shown to be a combinatorial model for the completion o...
We prove a number of convexity results for strata of the diagonal pants graph of a surface, in analo...
AbstractWe study the synthetic geometry of the pants graph of the 5-holed sphere, establishing the e...
Abstract. We prove a number of convexity results for strata of the diagonal pants graph of a surface...
This dissertation is concerned with geometric and combinatoric problems of curves on surfaces. In Ch...
Abstract. We prove a number of convexity results for strata of the diagonal pants graph of a sur-fac...
International audienceA lamination of a graph embedded on a surface is a collection of pairwise disj...
In this paper we show the connection to Polyhedral Combinatorics of Graham and Winkler's powerful 'M...
Given a hyperbolic surface, the set of all closed geodesics whose length is minimal form a graph on ...
Abstract. Our goal is to show, in two different contexts, that “random ” surfaces have large pants d...
Spatial graphs in the three-dimensional sphere are constructed from strongly invertible knots. Such ...
The curve graph, g, associated to a compact surface Sigma is the 1-skeleton of the curve complex def...
ABSTRACT. We show that for a surface Σ, the subgraph of the pants graph determined by fixing a colle...
Our main theorem identifies a class of totally geodesic subgraphs of the 1-skeleton of the pants com...
Our main theorem identifies a class of totally geodesic subgraphs of the 1-skeleton of the pants com...
In recent work of Brock's, the pants graph is shown to be a combinatorial model for the completion o...
We prove a number of convexity results for strata of the diagonal pants graph of a surface, in analo...
AbstractWe study the synthetic geometry of the pants graph of the 5-holed sphere, establishing the e...
Abstract. We prove a number of convexity results for strata of the diagonal pants graph of a surface...
This dissertation is concerned with geometric and combinatoric problems of curves on surfaces. In Ch...
Abstract. We prove a number of convexity results for strata of the diagonal pants graph of a sur-fac...
International audienceA lamination of a graph embedded on a surface is a collection of pairwise disj...
In this paper we show the connection to Polyhedral Combinatorics of Graham and Winkler's powerful 'M...
Given a hyperbolic surface, the set of all closed geodesics whose length is minimal form a graph on ...
Abstract. Our goal is to show, in two different contexts, that “random ” surfaces have large pants d...
Spatial graphs in the three-dimensional sphere are constructed from strongly invertible knots. Such ...
The curve graph, g, associated to a compact surface Sigma is the 1-skeleton of the curve complex def...