• Title/Summary/Keyword: symplectic chain complex

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REIDEMEISTER TORSION AND ORIENTABLE PUNCTURED SURFACES

  • Dirican, Esma;Sozen, Yasar
    • Journal of the Korean Mathematical Society
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    • v.55 no.4
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    • pp.1005-1018
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    • 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.