English

The Thurston boundary of Teichmuller space and complex of curves

Geometric Topology 2007-05-23 v1

Abstract

Let SS be a closed orientable surface with genus g2g\geq 2. For a sequence \si\s_i in the Teichm\"uller space of SS, which converges to a projective measured lamination [\lam][\lam] in the Thurston boundary, we obtain a relation between \lam\lam and the geometric limit of pants decompositions whose lengths are uniformly bounded by a Bers constant LL. We also show that this bounded pants decomposition is related to the Gromov boundary of complex of curves.

Keywords

Cite

@article{arxiv.math/0506031,
  title  = {The Thurston boundary of Teichmuller space and complex of curves},
  author = {Young Deuk Kim},
  journal= {arXiv preprint arXiv:math/0506031},
  year   = {2007}
}

Comments

30 pages, 12 figures