Concordance and mutation.
Kirk, P., Livingston, C. (2001)
Geometry & Topology
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Displaying similar documents to “The universal order one invariant of framed knots in most -bundles over orientable surfaces.”
Concordance and mutation.
Algebraic linking numbers of knots in 3-manifolds.
Schneiderman, Rob (2003)
Algebraic & Geometric Topology
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Concordance and 1-loop clovers.
Garoufalidis, Stavros, Levine, Jerome (2001)
Algebraic & Geometric Topology
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Whitehead doubling persists.
Garoufalidis, Stavros (2004)
Algebraic & Geometric Topology
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A natural framing of knots.
Greene, Michael, Wiest, Bert (1998)
Geometry & 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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Minimal surface representations of virtual knots and links.
Dye, H.A., Kauffman, Louis H. (2005)
Algebraic & Geometric Topology
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On the slice genus of links.
Florens, Vincent, Gilmer, Patrick M. (2003)
Algebraic & Geometric Topology
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The slicing number of a knot.
Livingston, Charles (2002)
Algebraic & Geometric Topology
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The concordance genus of knots.
Livingston, Charles (2004)
Algebraic & Geometric Topology
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An operator invariant for handlebody-knots
Kai Ishihara, Atsushi Ishii (2012)
Fundamenta Mathematicae
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A handlebody-knot is a handlebody embedded in the 3-sphere. We improve Luo's result about markings on a surface, and show that an IH-move is sufficient to investigate handlebody-knots with spatial trivalent graphs without cut-edges. We also give fundamental moves with a height function for handlebody-tangles, which helps us to define operator invariants for handlebody-knots. By using the fundamental moves, we give an operator invariant.
Finite-type invariants of Legendrian knots in the 3-space: Maslov index as an order 1 invariant
Victor Goryunov, Jonathan Hill (1999)
Banach Center Publications
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We consider a contractible closure of the space of Legendrian knots in the standard contact 3-space. We show that in this context the space of finite-type complex-valued invariants of Legendrian knots is isomorphic to that of framed knots in with an extra order 1 generator (Maslov index) added.
Computations of the Ozsvath-Szabo knot concordance invariant.
Livingston, Charles (2004)
Geometry & Topology
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