From automorphisms of Riemann surfaces to smooth 4-manifolds

BEYAZ A., Naylor P., ONARAN S., Park B. D.

MATHEMATICAL RESEARCH LETTERS, cilt.27, sa.3, ss.629-645, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 27 Sayı: 3
  • Basım Tarihi: 2020
  • Doi Numarası: 10.4310/mrl.2020.v27.n3.a1
  • Dergi Adı: MATHEMATICAL RESEARCH LETTERS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
  • Sayfa Sayıları: ss.629-645
  • Hacettepe Üniversitesi Adresli: Evet

Özet

Starting from a suitable set of self-diffeomorphisms of a closed Riemann surface, we present a general branched covering method to construct surface bundles over surfaces with positive signature. Armed with this method, we study the classification problem for both surface bundles with nonzero signature and closed simply connected smooth spin 4-manifolds.