REIDEMEISTER TORSION AND ORIENTABLE PUNCTURED SURFACES

Dirican E., SÖZEN Y.

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, cilt.55, sa.4, ss.1005-1018, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 55 Sayı: 4
  • Basım Tarihi: 2018
  • Doi Numarası: 10.4134/jkms.j170595
  • Dergi Adı: JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1005-1018
  • Hacettepe Üniversitesi Adresli: Evet

Özet

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.