Reidemeister-Franz torsion of compact orientable surfaces via pants decomposition

Erdal E., SÖZEN Y.

Balkan Journal of Geometry and its Applications, vol.27, no.2, pp.37-49, 2022 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 27 Issue: 2
  • Publication Date: 2022
  • Journal Name: Balkan Journal of Geometry and its Applications
  • Journal Indexes: Scopus, Academic Search Premier, Central & Eastern European Academic Source (CEEAS), INSPEC, zbMATH, Directory of Open Access Journals
  • Page Numbers: pp.37-49
  • Keywords: Compact orientable surfaces, Pair of pants, Period matrix., Reidemeister-franz torsion
  • Hacettepe University Affiliated: Yes

Abstract

© 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.