Involution generators of the big mapping class group

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Altunöz T., Pamuk M., Ylldlz O.

JOURNAL OF TOPOLOGY AND ANALYSIS, cilt.18, sa.1, ss.1-18, 2026 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 1
  • Basım Tarihi: 2026
  • Doi Numarası: 10.1142/s1793525324500171
  • Dergi Adı: JOURNAL OF TOPOLOGY AND ANALYSIS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.1-18
  • Anahtar Kelimeler: Big mapping class groups, generating sets, infinite surfaces, involutions
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

Let S = S(n) denote the infinite-type surface with n ends, n is an element of N, accumulated by genus. For n >= 6, we show that the mapping class group of S is topologically generated by five involutions. When n >= 3, it is topologically generated by six involutions.