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Gonality and Genus of Canonical Components of Character Varieties by Petersen, Kathleen L.; Reid, Alan W. is a scholarly article available to read on EtoBox.

What is Gonality and Genus of Canonical Components of Character Varieties about?

Let M be a two cusped hyperbolic 3-manifold and let M(r) be the result of r Dehn filling of a fixed cusp of M. We study canonical components of the SL(2,C) character varieties of M(r). We show that the gonality of these sets is bounded, independent of the filling parameter. We also obtain bounds, depending on r, for the genus of these sets. We compute the gonality for the double twist knots, demonstrating canonical components with arbitrarily large gonality.

Author

Petersen, Kathleen L.; Reid, Alan W.

Published

2014

Language

EN