All integral slopes can be Seifert fibered slopes for hyperbolic knots.
Motegi, Kimihiko, Song, Hyun-Jong (2005)
Algebraic & Geometric Topology
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Displaying similar documents to “Alexander polynomial, finite type invariants and volume of hyperbolic knots.”
All integral slopes can be Seifert fibered slopes for hyperbolic knots.
Experimental evidence for the Volume Conjecture for the simplest hyperbolic non-2-bridge knot.
Garoufalidis, Stavros, Lan, Yueheng (2005)
Algebraic & Geometric Topology
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Small Seifert-fibered Dehn surgery on hyperbolic knots.
Dean, John C. (2003)
Algebraic & Geometric Topology
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Hyperbolic covering knots.
Silver, Daniel S., Whitten, Wilbur (2005)
Algebraic & Geometric Topology
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Nonintegral boundary-slopes exist
Xingru Zhang (1991)
Fundamenta Mathematicae
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The slicing number of a knot.
Livingston, Charles (2002)
Algebraic & Geometric Topology
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The concordance genus of knots.
Livingston, Charles (2004)
Algebraic & Geometric Topology
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Bounds for the Thurston-Bennequin number from Floer homology.
Plamenevskaya, Olga (2004)
Algebraic & Geometric Topology
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Positive knots, closed braids and the Jones polynomial
Alexander Stoimenow (2003)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Using the recent Gauß diagram formulas for Vassiliev invariants of Polyak-Viro-Fiedler and combining these formulas with the Bennequin inequality, we prove several inequalities for positive knots relating their Vassiliev invariants, genus and degrees of the Jones polynomial. As a consequence, we prove that for any of the polynomials of Alexander/Conway, Jones, HOMFLY, Brandt-Lickorish-Millett-Ho and Kauffman there are only finitely many positive knots with the same polynomial and no...
On the first two Vassiliev invariants.
Willerton, Simon (2002)
Experimental Mathematics
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Maximal Thurston-Bennequin number of two-bridge links.
Ng, Lenhard L. (2001)
Algebraic & Geometric Topology
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Virtual biquandles
Louis H. Kauffman, Vassily O. Manturov (2005)
Fundamenta Mathematicae
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We describe new approaches for constructing virtual knot invariants. The main background of this paper comes from formulating and bringing together the ideas of biquandle [KR], [FJK], the virtual quandle [Ma2], the ideas of quaternion biquandles by Roger Fenn and Andrew Bartholomew [BF], the concepts and properties of long virtual knots [Ma10], and other ideas in the interface between classical and virtual knot theory. In the present paper we present a new algebraic construction of virtual...