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Quasifuchsian state surfaces
Futer, D Kalfagianni, E Purcell, JS
Futer, D
Kalfagianni, E
Purcell, JS
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Journal Article
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2014-01-01
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10.1090/S0002-9947-2014-06182-5
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© 2014 American Mathematical Society. This paper continues our study of essential state surfaces in link complements that satisfy a mild diagrammatic hypothesis (homogeneously adequate). For hyperbolic links, we show that the geometric type of these surfaces in the Thurston trichotomy is completely determined by a simple graph-theoretic criterion in terms of a certain spine of the surfaces. For links with A- or B-adequate diagrams, the geometric type of the surface is also completely determined by a coefficient of the colored Jones polynomial of the link.
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Transactions of the American Mathematical Society
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