REIDEMEISTER TORSION AND ORIENTABLE PUNCTURED SURFACES

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.