On the volume of double twist link cone-manifolds

2016/12/08 by Tran, Anh T.
#FOS: Mathematics #Geometric Topology (math.GT) #Primary 57M27 #Secondary 57M25

paper · doi:10.48550/arxiv.1612.02799

Abstract

We consider the double twist link J(2m+1, 2n+1) which is the two-bridge link corresponding to the continued fraction (2m+1)-1/(2n+1). It is known that J(2m+1, 2n+1) has reducible nonabelian SL₂(ℂ)-character variety if and only if m=n. In this paper we give a formula for the volume of hyperbolic cone-manifolds of J(2m+1,2m+1). We also give a formula for the A-polynomial 2-tuple corresponding to the canonical component of the character variety of J(2m+1,2m+1).

Related

• Volumes of double twist knot cone-manifolds
• Volumes for twist link cone-manifolds
• Trigonometric identities and volumes of the hyperbolic twist knot cone-manifolds
• The volume of hyperbolic cone-manifolds of the knot with Conway's notation C(2n, 3)
• The A-polynomial 2-tuple of twisted Whitehead links