REIDEMEISTER TORSION AND ORIENTABLE PUNCTURED SURFACES

Abstract

. Let Σ g,n,b denote the orientable surface obtained from the closed orientable surface Σ 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 Σ g,n,b in terms of Reide- meister torsion of the closed surface Σ g , Reidemeister torsion of disk, and Reidemeister torsion of punctured disk.