Geodesic
Closed surfaces and character varieties
Chesebro, Eric1
1Department of Mathematical Sciences, University of Montana, Mathematics Building (MMAI01), Missoula, MT 59812-0864, USA
Algebraic and Geometric Topology, Tome 13 (2013) no. 4, pp. 2001-2037
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The powerful character variety techniques of Culler and Shalen can be used to find essential surfaces in knot manifolds. We show that module structures on the coordinate ring of the character variety can be used to identify detected boundary slopes as well as when closed surfaces are detected. This approach also yields new number theoretic invariants for the character varieties of knot manifolds.

DOI : 10.2140/agt.2013.13.2001
Classification : 57M27
Keywords: 3–manifold, character variety, essential surface

Chesebro, Eric  1

1 Department of Mathematical Sciences, University of Montana, Mathematics Building (MMAI01), Missoula, MT 59812-0864, USA 
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Chesebro, Eric. Closed surfaces and character varieties. Algebraic and Geometric Topology, Tome 13 (2013) no. 4, pp. 2001-2037. doi: 10.2140/agt.2013.13.2001

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