Reidemeister-Franz torsion of compact orientable surfaces via pants decomposition

Erdal E., SÖZEN Y.

Balkan Journal of Geometry and its Applications, cilt.27, sa.2, ss.37-49, 2022 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 27 Sayı: 2
  • Basım Tarihi: 2022
  • Dergi Adı: Balkan Journal of Geometry and its Applications
  • Derginin Tarandığı İndeksler: Scopus, Academic Search Premier, Central & Eastern European Academic Source (CEEAS), INSPEC, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.37-49
  • Anahtar Kelimeler: Compact orientable surfaces, Pair of pants, Period matrix., Reidemeister-franz torsion
  • Hacettepe Üniversitesi Adresli: Evet

Özet

© Balkan Society of Geometers, Geometry Balkan Press 2022.Let Σg,n denote the compact orientable surface with genus g ≥ 2 and boundary disjoint union of n circles. By using a particular pants decomposition of Σg,n, we obtain a formula that computes the Reidemeister-Franz torsion of Σg,n in terms of the Reidemeister-Franz torsions of pairs of pants.