Homotopy on spatial graphs and the Sato-Levine invariant

DOI10.1090/S0002-9947-08-04510-8zbMath1163.57002arXivmath/0509003MaRDI QIDQ3623378

Ryo Nikkuni, Thomas R. Fleming

Publication date: 17 April 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0509003

zbMATH Keywords

spatial graphSato-Levine invariantedge-homotopyvertex-homotopy

Mathematics Subject Classification ID

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

Related Items (4)

The topology of Helmholtz domains ⋮ Refined Kirby calculus for three-manifolds of first homology groups of odd prime orders ⋮ Milnor invariants for spatial graphs ⋮ Homotopy on spatial graphs and generalized Sato-Levine invariants

Cites Work

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• Sharp edge-homotopy on spatial graphs
• Vassiliev invariants of knots in a spatial graph.
• The Conway potential function for links
• Concordance invariance of coefficients of Conway's link polynomial
• Cobordism, homotopy and homology of graphs in \(\mathbb{R}^ 3\)
• Classification of links up to self pass-move
• Delta link-homotopy on spatial graphs
• Cobordisms of semi-boundary links
• Link groups
• The Classification of Links up to Link-Homotopy
• The First Coefficient of the Conway Polynomial
• An Approach to Homotopy Classification of Links
• EDGE-HOMOTOPY CLASSIFICATION OF SPATIAL COMPLETE GRAPHS ON FOUR VERTICES
• The Arf and Sato Link Concordance Invariants

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