Geometriae Dedicata

, Volume 89, Issue 1, pp 107–131

Mapping Class Groups of Nonorientable Surfaces

  • Mustafa Korkmaz
Article

DOI: 10.1023/A:1014289127999

Cite this article as:
Korkmaz, M. Geometriae Dedicata (2002) 89: 107. doi:10.1023/A:1014289127999

Abstract

We obtain a finite set of generators for the mapping class group of a nonorientable surface with punctures. We then compute the first homology group of the mapping class group and certain subgroups of it. As an application we prove that the image of a homomorphism from the mapping class group of a nonorientable surface of genus at least nine to the group of real-analytic diffeomorphisms of the circle is either trivial or of order two.

Mapping class groupsNonorientable surfacesReal-analytic diffeomorphism of the circle

Copyright information

© Kluwer Academic Publishers 2002

Authors and Affiliations

  • Mustafa Korkmaz
    • 1
  1. 1.Department of MathematicsMiddle East Technical UniversityAnkaraTurkey