A note on the generalized Matsumoto relation

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Dalyan E., Medetoğulları E., PAMUK M.

TURKISH JOURNAL OF MATHEMATICS, vol.41, no.3, pp.524-536, 2017 (SCI-Expanded, Scopus, TRDizin)

  • Publication Type: Article / Article
  • Volume: 41 Issue: 3
  • Publication Date: 2017
  • Doi Number: 10.3906/mat-1512-87
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.524-536
  • Keywords: Mapping class groups, braid relation, chain relation, NONCOMPLEX SMOOTH 4-MANIFOLDS, LEFSCHETZ FIBRATIONS
  • Open Archive Collection: AVESIS Open Access Collection
  • TED University Affiliated: No

Abstract

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.