Geodesic
Detecting essential surfaces as intersections in the character variety
Chu, Michelle1
1 Department of Mathematics, The University of Texas, Austin, TX, United States
Algebraic and Geometric Topology, Tome 17 (2017) no. 5, pp. 2893-2914

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We describe a family of hyperbolic knots whose character variety contain exactly two distinct components of characters of irreducible representations. The intersection points between the components carry rich topological information. In particular, these points are nonintegral and detect a Seifert surface.

DOI : 10.2140/agt.2017.17.2893
Classification : 57M25, 20C15, 57M27, 57M50
Keywords: character variety, two-bridge knots, essential surfaces

Chu, Michelle 1

1 Department of Mathematics, The University of Texas, Austin, TX, United States 
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Chu, Michelle. Detecting essential surfaces as intersections in the character variety. Algebraic and Geometric Topology, Tome 17 (2017) no. 5, pp. 2893-2914. doi: 10.2140/agt.2017.17.2893

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