A finite type invariant of order at most 4 for genus 2 handlebody-knots is a constant map

DOI10.1016/j.topol.2011.11.018zbMath1239.57030OpenAlexW1991335046MaRDI QIDQ409577

Kengo Kishimoto, Atsushi Ishii

Publication date: 13 April 2012

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2011.11.018

zbMATH Keywords

finite type invariantHOMFLYPT polynomialhandlebody-knotspatial theta-curve

Mathematics Subject Classification ID

Relations of low-dimensional topology with graph theory (57M15)

Related Items (2)

New quantum invariants of theta-curves with base points ⋮ Handlebody-knots and development of quandle theory

Cites Work

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• Moves and invariants for knotted handlebodies
• Topological quantum field theory for the universal quantum invariant
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• On the Vassiliev knot invariants
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• Knot polynomials and Vassiliev's invariants
• A new polynomial invariant of knots and links
• Invariants of links of Conway type
• THE FUNCTORIALITY OF VASSILIEV-TYPE INVARIANTS OF LINKS, BRAIDS, AND KNOTTED GRAPHS
• Vassiliev-type Invariants of a Theta-curve
• Cobordism of theta curves in S³

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