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REIDEMEISTER TORSION AND ORIENTABLE PUNCTURED SURFACES

  • Dirican, Esma (Department of Mathematics IzmIr Institute of Technology) ;
  • Sozen, Yasar (Department of Mathematics Hacettepe University)
  • 투고 : 2017.09.12
  • 심사 : 2017.11.30
  • 발행 : 2018.07.01

초록

Let ${\Sigma}_{g,n,b}$ denote the orientable surface obtained from the closed orientable surface ${\Sigma}_g$ of genus $g{\geq}2$ by deleting the interior of $n{\geq}1$ distinct topological disks and $b{\geq}1$ 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.

키워드

참고문헌

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피인용 문헌

  1. A note on exceptional groups and Reidemeister torsion vol.59, pp.8, 2018, https://doi.org/10.1063/1.5021318