Heegaard Floer invariants of Legendrian knots in contact three-manifolds
Paolo Lisca, Peter Ozsváth, András I. Stipsicz, Zoltán Szabó (2009)
Journal of the European Mathematical Society
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Paolo Lisca, Peter Ozsváth, András I. Stipsicz, Zoltán Szabó (2009)
Journal of the European Mathematical Society
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Roger Fenn, Louis H. Kauffman, Vassily O. Manturov (2005)
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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.
Ng, Lenhard (2005)
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D.W. Sumners (1971/72)
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D.W. Summers (1972)
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A sequence of Temperley-Lieb algebra elements corresponding to torus braids with growing twisting numbers converges to the Jones-Wenzl projector. We show that a sequence of categorification complexes of these braids also has a limit which may serve as a categorification of the Jones-Wenzl projector.
Bijan Sahamie (2013)
Annales de la faculté des sciences de Toulouse Mathématiques
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This paper provides an introduction to the basics of Heegaard Floer homology with some emphasis on the hat theory and to the contact geometric invariants in the theory. The exposition is designed to be comprehensible to people without any prior knowledge of the subject.
R.A. Litherland (1979)
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Bar-Natan, Dror
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Summary of the three lectures. These notes are available electronically at http://www.ma.huji.ac.il/~drorbn/Talks/Srni-9901/notes.html.