Chord index for knots in thickened surfaces
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Publication:2103556
DOI10.1215/00192082-10188162OpenAlexW4297681715MaRDI QIDQ2103556
Mengjian Xu, Zhiyun Cheng, Hongzhu Gao
Publication date: 14 December 2022
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.06439
2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20) Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12)
Cites Work
- Weak parities and functorial maps
- Fiedler type combinatorial formulas for generalized Fiedler type invariants of knots in \(M^2\times R^1\)
- Two constructions of weight systems for invariants of knots in non-trivial 3-manifolds
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- A transcendental function invariant of virtual knots
- Virtual knot theory
- A small state sum for knots
- Invariants of links in thickened surfaces
- Minimal surface representations of virtual knots and links
- A POLYNOMIAL INVARIANT OF VIRTUAL LINKS
- Some remarks on the chord index
- Cobordism of knots on surfaces
- Shorter Notes: Representing Homology Classes of Closed Orientable Surfaces
- A self-linking invariant of virtual knots
- THE PARITY WRITHE POLYNOMIALS FOR VIRTUAL KNOTS AND FLAT VIRTUAL KNOTS
- AN AFFINE INDEX POLYNOMIAL INVARIANT OF VIRTUAL KNOTS
- VASSILIEV INVARIANTS FROM PARITY MAPPINGS
- Parity in knot theory
- Virtual Knot Cobordism and Bounding the Slice Genus
- The Chord Index, its Definitions, Applications, and Generalizations
- Minimal crossing number implies minimal supporting genus
- The writhes of a virtual knot
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