Alexander polynomial, finite type invariants and volume of hyperbolic knots.
Kalfagianni, Efstratia (2004)
Algebraic & Geometric Topology
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Displaying similar documents to “A natural series for the natural logarithm.”
Alexander polynomial, finite type invariants and volume of hyperbolic knots.
New topologically slice knots.
Friedl, Stefan, Teichner, Peter (2005)
Geometry & Topology
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Twisted Alexander polynomials and surjectivity of a group homomorphism.
Kitano, Teruaki, Suzuki, Masaaki, Wada, Masaaki (2005)
Algebraic & Geometric Topology
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The slicing number of a knot.
Livingston, Charles (2002)
Algebraic & Geometric Topology
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A partial order in the knot table.
Kitano, Teruaki, Suzuki, Masaaki (2005)
Experimental Mathematics
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Splitting the concordance group of algebraically slice knots.
Livingston, Charles (2003)
Geometry & Topology
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The concordance genus of knots.
Livingston, Charles (2004)
Algebraic & Geometric Topology
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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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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...