Quasiconformal embeddings of Y-pieces

Peter Buser; Eran Makover; Bjoern Muetzel; Robert Silhol

Quasiconformal embeddings of Y-pieces

Differential Geometry 2014-01-31 v2

Authors: Peter Buser , Eran Makover , Bjoern Muetzel , Robert Silhol

Abstract

In this paper we construct quasiconformal embeddings from Y-pieces that contain a short boundary geodesic into degenerate ones. These results are used in a companion paper to study the Jacobian tori of Riemann surfaces that contain small simple closed geodesics.

Keywords

quasiconformal embeddings Y-pieces boundary geodesic degenerate surfaces Riemann surfaces Jacobian tori simple closed geodesics

Cite

@article{arxiv.1311.0687,
  title  = {Quasiconformal embeddings of Y-pieces},
  author = {Peter Buser and Eran Makover and Bjoern Muetzel and Robert Silhol},
  journal= {arXiv preprint arXiv:1311.0687},
  year   = {2014}
}

Comments

20 pages, 4 figures, estimate in Theorem 2.1 corrected, submitted to F. W. Gehring Memorial Volume - Computational Methods and Function Theory

Quasiconformal embeddings of Y-pieces

Abstract

Keywords

Cite

Comments

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