Quasiconformal embeddings of Y-pieces
arXiv:1311.0687
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.
20 pages, 4 figures, estimate in Theorem 2.1 corrected, submitted to F. W. Gehring Memorial Volume - Computational Methods and Function Theory