Charles Katerba
Published 2018-05-11Version 1
Culler-Shalen theory uses the algebraic geometry of the SL(2,C)-character variety of a 3-manifold to construct essential surfaces in the manifold. There are module structures associated to the coordinate rings of the irreducible components of character varieties that are intimately related to essential surface construction. When these modules are finitely generated, we derive a formula for their rank that incorporates the irreducible component's field of definition and the Culler-Shalen norm.
Comments: 17 pages. Comments are very welcome and appreciated
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On the quantum sl_2 invariants of knots and integral homology spheres
Remarks on definition of Khovanov homology
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