Asymptotic Translation Length in the Curve Complex

Date

2013

Journal Title

Journal ISSN

Volume Title

Publisher

New York Journal of Mathematics

Abstract

We show that when the genus and punctures of a surface are directly proportional by some rational number the minimal asymptotic translation length in the curve complex has behavior inverse to the square of the Euler characteristic. We also show that when the genus is fixed and the number of punctures varies the behavior is inverse to the Euler characteristic.

Description

Keywords

Mathematics

Citation

Valdivia, A. D. (2013). Asymptotic Translation Length in the Curve Complex.

DOI

Collections