Closed surfaces and character varieties

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Pages (from-to)2001-2037
Number of pages37
JournalAlgebraic and Geometric Topology
Volume13
Issue number4
DOIs
StatePublished - 2013

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