Simple closed geodesics and the study of Teichmüller spaces

Abstract

The goal of the chapter is to present certain aspects of the relationship between the study of simple closed geodesics and Teichmüller spaces.

to appear in Handbook of Teichmüller theory, vol III

References in corpus (4)

• Diastolic and isoperimetric inequalities on surfaces
• The Weil-Petersson metric geometry
• Multiplicities of simple closed geodesics and hypersurfaces in Teichmüller space
• Geodesics with one self-intersection, and other stories

Cited by in corpus (3)

• Systoles and kissing numbers of finite area hyperbolic surfaces
• Systoles of hyperbolic surfaces with big cyclic symmetry
• An upperbound for the number of critical points of the systole function on the surface moduli space