Published January 1, 2016 | Version v1
Journal article Open

Connected sum of orientable surfaces and Reidemeister torsion

  • 1. Hacettepe Univ, Fac Sci, Dept Math, TR-06800 Ankara, Turkey

Description

Let Sigma(g,n) be an orientable surface with genus g >= 2 bordered by n >= 1 curves homeomorphic to circle. As is well known that one-holed torus Sigma(1,1) is the building block of such surfaces. By using the notion of symplectic chain complex, homological algebra techniques and considering the double of the building block, the present paper proves a novel formula for computing Reidemeister torsion of one-holed torus. Moreover, applying this result and considering Sigma(g,n) as the connected sum Sigma(1,n) #(g - 1)Sigma(1,0), the present paper establishes a novel formula to compute Reidemeister torsion of Sigma(g,n).

Files

bib-37fb0e92-a9ba-4233-b8fb-6ee81f490126.txt

Files (150 Bytes)

Name Size Download all
md5:4a515f9504193a7e78bdd90e1acd7724
150 Bytes Preview Download