A note on the generalized Matsumoto relation

DALYAN E., Medetogullari E., PAMUK M.

TURKISH JOURNAL OF MATHEMATICS, cilt.41, sa.3, ss.524-536, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: 3
  • Basım Tarihi: 2017
  • Doi Numarası: 10.3906/mat-1512-87
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.524-536
  • Anahtar Kelimeler: Mapping class groups, braid relation, chain relation, NONCOMPLEX SMOOTH 4-MANIFOLDS, LEFSCHETZ FIBRATIONS
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

We give an elementary proof of a relation, first discovered in its full generality by Korkmaz, in the mapping class group of a closed orientable surface. Our proof uses only the well-known relations between Dehn twists.