On finite type invariants of welded string links and ribbon tubes
From MaRDI portal
Publication:6190602
DOI10.3836/tjm/1502179380arXiv2201.05815MaRDI QIDQ6190602
Jean-Baptiste Meilhan, Adrien Casejuane
Publication date: 6 February 2024
Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.05815
Finite-type and quantum invariants, topological quantum field theories (TQFT) (57K16) Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12) Higher-dimensional knots and links (57K45)
Cites Work
- Unnamed Item
- Unnamed Item
- Milnor invariants and the HOMFLYPT polynomial
- Finite-type invariants of classical and virtual knots
- Two filtrations of ribbon 2-knots
- Extensions of some classical local moves on knot diagrams
- Virtual knot theory
- Claspers and finite type invariants of links
- Milnor invariants, \(2n\)-moves and \(V^n\)-moves for welded string links
- Arrow calculus for welded and classical links
- On simply knotted spheres in \(R^ 4\)
- On ribbon 2-knots: The 3-manifold bounded by the 2-knots
- On ribbon 2-knots II: The second homotopy group of the complementary domain
- On Ribbon 2-knots. III: On the unknotting Ribbon 2-knots in \(S^ 4\)
- Link groups
- CLASPER-MOVES AMONG RIBBON 2-KNOTS CHARACTERIZING THEIR FINITE TYPE INVARIANTS
- Characterization of finite type string link invariants of degree <5
- VIRTUAL KNOT PRESENTATION OF RIBBON TORUS-KNOTS
- Homotopy classification of ribbon tubes and welded string links
- ON VASSILIEV INVARIANTS OF ORDER TWO FOR STRING LINKS