Mapping class groups of nonorientable surfaces

Korkmaz M.

GEOMETRIAE DEDICATA, cilt.89, sa.1, ss.109-133, 2002 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 89 Sayı: 1
  • Basım Tarihi: 2002
  • Dergi Adı: GEOMETRIAE DEDICATA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.109-133
  • Anahtar Kelimeler: mapping class groups, nonorientable surfaces, real-analytic diffeomorphism of the circle, HOMOLOGY
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.