Invariant character varieties of hyperbolic knots with symmetries

2015/05/05 by Paoluzzi, Luisa, Porti, Joan
#20C99 #57M25 #57M50 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1505.01055

Abstract

We study character varieties of symmetric knots and their reductions mod p. We observe that the varieties present a different behaviour according to whether the knots admit a free or periodic symmetry.

Related

• Freely 2-periodic knots have two canonical components
• Types of Symmetries of Knots
• Counting stringy points on a family of character varieties
• Not all boundary slopes are strongly detected by the character variety
• On the characteristic and deformation varieties of a knot