• 제목/요약/키워드: orientable punctured surfaces

검색결과 1건 처리시간 0.013초

REIDEMEISTER TORSION AND ORIENTABLE PUNCTURED SURFACES

  • Dirican, Esma;Sozen, Yasar
    • 대한수학회지
    • /
    • 제55권4호
    • /
    • pp.1005-1018
    • /
    • 2018
  • 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.