Asymptotic Translation Length in the Curve Complex

Date
2013
Authors
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.
URI
https://search.ebscohost.com/login.aspx?direct=true&AuthType=shib&db=edsarx&AN=edsarx.1304.6606&site=eds-live&scope=site&custid=s5615486
 http://hdl.handle.net/11416/791
DOI
Collections
Mathematics