REIDEMEISTER TORSION AND ORIENTABLE PUNCTURED SURFACES


Dirican E., SÖZEN Y.

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, vol.55, no.4, pp.1005-1018, 2018 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 55 Issue: 4
  • Publication Date: 2018
  • Doi Number: 10.4134/jkms.j170595
  • Journal Name: JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.1005-1018

Abstract

Let Sigma(g,n,b) denote the orientable surface obtained from the closed orientable surface Sigma(g) of genus g >= 2 by deleting the interior of n >= 1 distinct topological disks and b >= 1 points. Using the notion of symplectic chain complex, the present paper establishes a formula for computing Reidemeister torsion of the surface Sigma(g,n,b) in terms of Reidemeister torsion of the closed surface Sigma(g), Reidemeister torsion of disk, and Reidemeister torsion of punctured disk.