Displaying similar documents to “Bounds on exceptional Dehn filling.”

Cannon-Thurston Maps, i-bounded Geometry and a Theorem of McMullen

Mahan Mj (2009-2010)

Séminaire de théorie spectrale et géométrie

Similarity:

The notion of generalises simultaneously and the geometry of punctured torus Kleinian groups. We show that the limit set of a surface Kleinian group of i-bounded geometry is locally connected by constructing a natural Cannon-Thurston map.

Dehn filling: A survey

C. Gordon (1998)

Banach Center Publications

Similarity:

In this paper we give a brief survey of the present state of knowledge on exceptional Dehn fillings on 3-manifolds with torus boundary. For our discussion, it is necessary to first give a quick overview of what is presently known, and what is conjectured, about the structure of 3-manifolds. This is done in Section 2. In Section 3 we summarize the known bounds on the distances between various kinds of exceptional Dehn fillings, and compare these with the distances that arise in known...