TUBE-EQUIVALANCE OF SPANNING SURFACES AND SEIFERT SURFACES

Author (s) : Dr.B.MOHANAPRIYA and R.PRABU

---

Abstract :
In this paper, connectivity is added to the assumption and we show: If S₁ and S₂ are Seifert surfaces for the link L, then S₁ and S₂ are tube-equivalent. The proof proceeds by examining how changes to a projection of a link affect the corresponding  surfaces. Maintaining connectedness of a surface allows for controlling the first homology and the Seifert pairing by S-equivalence, and thus, is used in proving that the Alexander polynomial of the given link is an invariant

Keywords : Seifert surfaces, Alexander polynomial

Conference Date : 30/08/2019

Pages : 162

Paper ID : 19160