Polynomial Invariants and the Integral Homology of Coverings of Knots and Links.
D.W. Sumners (1971/72)
Inventiones mathematicae
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D.W. Sumners (1971/72)
Inventiones mathematicae
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J. Scott Carter, Mohamed Elhamdadi, Masahico Saito (2004)
Fundamenta Mathematicae
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A homology theory is developed for set-theoretic Yang-Baxter equations, and knot invariants are constructed by generalized colorings by biquandles and Yang-Baxter cocycles.
J. LEVINE (1969)
Inventiones mathematicae
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W.B.R. Lickorish, R.D. Brandt (1986)
Inventiones mathematicae
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Sadayoshi Kojima, Masyuki Yamasaki (1979)
Inventiones mathematicae
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R.A. Litherland (1979)
Inventiones mathematicae
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T.D. Cochran (1985)
Inventiones mathematicae
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Taizo Kanenobu (1986)
Mathematische Annalen
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Paolo Lisca, Peter Ozsváth, András I. Stipsicz, Zoltán Szabó (2009)
Journal of the European Mathematical Society
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Joan S. Birman, Xiao-Song Lin (1993)
Inventiones mathematicae
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Ng, Lenhard (2005)
Geometry & Topology
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Stavros Garoufalidis (2004)
Fundamenta Mathematicae
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We formulate a conjectural formula for Khovanov's invariants of alternating knots in terms of the Jones polynomial and the signature of the knot.
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.
Livingston, Charles (2002)
Geometry & Topology
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