Heegaard Floer homology and alternating knots.
Szabó, Zoltán, Ozváth, Peter (2003)
Geometry & Topology
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Displaying similar documents to “A Legendrian Thurston-Bennequin bound from Khovanov homology.”
Heegaard Floer homology and alternating knots.
Bounds for the Thurston-Bennequin number from Floer homology.
Plamenevskaya, Olga (2004)
Algebraic & Geometric Topology
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Adequacy of Link Families
Slavik Jablan, Ljiljana Radović, Radmila Sazdanović (2010)
Publications de l'Institut Mathématique
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Knot Floer homology and the four-ball genus.
Ozsváth, Peter, Szabó, Zoltán (2003)
Geometry & Topology
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Contact homology and one parameter families of Legendrian knots.
Kálmán, Tamás (2005)
Geometry & Topology
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Concordance and 1-loop clovers.
Garoufalidis, Stavros, Levine, Jerome (2001)
Algebraic & Geometric Topology
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Knot and braid invariants from contact homology. I.
Ng, Lenhard (2005)
Geometry & 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 knot Floer homology and cabling.
Hedden, Matthew (2005)
Algebraic & Geometric Topology
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Maximal Thurston-Bennequin number of two-bridge links.
Ng, Lenhard L. (2001)
Algebraic & Geometric Topology
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Virtual knot theory-unsolved problems
Roger Fenn, Louis H. Kauffman, Vassily O. Manturov (2005)
Fundamenta Mathematicae
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The present paper gives a quick survey of virtual and classical knot theory and presents a list of unsolved problems about virtual knots and links. These are all problems in low-dimensional topology with a special emphasis on virtual knots. In particular, we touch new approaches to knot invariants such as biquandles and Khovanov homology theory. Connections to other geometrical and combinatorial aspects are also discussed.
Longitude Floer homology and the Whitehead double.
Eftekhary, Eaman (2005)
Algebraic & Geometric Topology
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Invariants of piecewise-linear knots
Richard Randell (1998)
Banach Center Publications
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We study numerical and polynomial invariants of piecewise-linear knots, with the goal of better understanding the space of all knots and links. For knots with small numbers of edges we are able to find limits on polynomial or Vassiliev invariants sufficient to determine an exact list of realizable knots. We thus obtain the minimal edge number for all knots with six or fewer crossings. For example, the only knot requiring exactly seven edges is the figure-8 knot.