English

Exotic projective structures and quasifuchsian spaces II

Geometric Topology 2011-07-04 v1

Abstract

Let P(S)P(S) be the space of projective structures on a closed surface SS of genus g>1g >1 and let Q(S)Q(S) be the subset of P(S)P(S) of projective structures with quasifuchsian holonomy. It is known that Q(S)Q(S) consists of infinitely many connected components. In this paper, we will show that the closure of any exotic component of Q(S)Q(S) is not a topological manifold with boundary and that any two components of Q(S)Q(S) have intersecting closures.

Keywords

Cite

@article{arxiv.math/0603074,
  title  = {Exotic projective structures and quasifuchsian spaces II},
  author = {Kentaro Ito},
  journal= {arXiv preprint arXiv:math/0603074},
  year   = {2011}
}

Comments

22 pages, 9 figures