Volume 2 (1999)

Download this article
For printing
Recent Volumes
Volume 1, 1998
Volume 2, 1999
Volume 3, 2000
Volume 4, 2002
Volume 5, 2002
Volume 6, 2003
Volume 7, 2004
Volume 8, 2006
Volume 9, 2006
Volume 10, 2007
Volume 11, 2007
Volume 12, 2007
Volume 13, 2008
Volume 14, 2008
Volume 15, 2008
Volume 16, 2009
Volume 17, 2011
Volume 18, 2012
Volume 19, 2015
The Series
MSP Books and Monographs
About this Series
Editorial Board
Ethics Statement
Author Index
Submission Guidelines
Author Copyright Form
Purchases
ISSN (electronic): 1464-8997
ISSN (print): 1464-8989
Other MSP Publications

Configurations of curves and geodesics on surfaces

Joel Hass and Peter Scott

Geometry & Topology Monographs 2 (1999) 201–213

DOI: 10.2140/gtm.1999.2.201

arXiv: math.GT/9903130

Abstract

We study configurations of immersed curves in surfaces and surfaces in 3–manifolds. Among other results, we show that primitive curves have only finitely many configurations which minimize the number of double points. We give examples of minimal configurations not realized by geodesics in any hyperbolic metric.

Keywords

Geodesics, configurations, curves on surfaces, double points

Mathematical Subject Classification

Primary: 53C22

Secondary: 57R42

References
Publication

Received: 22 March 1999
Revised: 23 August 1999
Published: 18 November 1999

Authors
Joel Hass
Department of Mathematics
University of California
Davis CA 95616
USA
Peter Scott
Department of Mathematics
University of Michigan
Ann Arbor MI 48109
USA