Banding, twisted ribben knots, and producing reducible manifolds via Dehn surgery.
Steven A. Bleiler (1990)
Mathematische Annalen
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Displaying similar documents to “Chern-Simons invariants of 3-manifolds and representation spaces of knot groups.”
Banding, twisted ribben knots, and producing reducible manifolds via Dehn surgery.
From astrology to topology via Feynman diagrams and Lie algebras
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.
Bounds for the Thurston-Bennequin number from Floer homology.
Plamenevskaya, Olga (2004)
Algebraic & Geometric Topology
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Eta invariants as sliceness obstructions and their relation to Casson-Gordon invariants.
Friedl, Stefan (2004)
Algebraic & Geometric Topology
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Knot and braid invariants from contact homology. I.
Ng, Lenhard (2005)
Geometry & Topology
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Concordance and mutation.
Kirk, P., Livingston, C. (2001)
Geometry & 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.
SU (2)-representation spaces for two-bridge knot groups.
Gerhard Burde (1990)
Mathematische Annalen
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Surgery on Double Knots and Symmetries.
M. Boileau, F. Gonzalez-Acuna, J.M. Montesions (1986)
Mathematische Annalen
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A Surgery Sequence in Dimension Four; The Relations with Knot Concordance.
Michael H. Freedman (1982)
Inventiones mathematicae
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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...
Vassiliev invariants as polynomials
Simon Willerton (1998)
Banach Center Publications
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Three results are shown which demonstrate how Vassiliev invariants behave like polynomials.