Rank and Rigidity Properties of Spaces Associated to a Surface

@inproceedings{BRIAN2014RankAR,
  title={Rank and Rigidity Properties of Spaces Associated to a Surface},
  author={H. BRIAN},
  year={2014}
}
  • H. BRIAN
  • Published 2014
We describe the geometry of the mapping class group and the pants graph of a compact orientable surface from the point of view of coarse median spaces. We derive various results about coarse rank and quasi-isometric rigidity of such spaces. In particular, we show that a quasi-isometric embedding of a mapping class group into itself is a bounded distance… CONTINUE READING