Milnor-Orr invariants from the Kontsevich invariant

DOI10.4171/PRIMS/56-1-7zbMath1445.57004arXiv1712.02060OpenAlexW3001466704MaRDI QIDQ2302861

Takefumi Nosaka

Publication date: 26 February 2020

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.02060

zbMATH Keywords

Magnus expansiontangleHOMFLYPT polynomialstring linklongitudeMassey productOrr invarianttree reductionmeridiannilpotent quotientKontsevich invariantcommuting operatorLMO functorbased linkMilnor \(\mu\)-invariantMorita-Milnor homomorphism

Mathematics Subject Classification ID

Nilpotent groups (20F18) Fundamental group, presentations, free differential calculus (57M05) Massey products (55S30) Knot polynomials (57K14) Knot theory (57K10) Invariants of 3-manifolds (including skein modules, character varieties) (57K31)

Related Items (1)

Cohomology pairings of 3-manifolds and their diagrammatic computation

Cites Work

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• Milnor invariants and the HOMFLYPT polynomial
• Homotopy invariants of links
• The Kontsevich integral and Milnor's invariants
• Formal descriptions of Turaev's loop operations
• Rational Whitney tower filtration of links
• Addendum and correction to: ``Homology cylinders: an enlargement of the mapping class group
• Cocycles of nilpotent quotients of free groups
• Milnor invariants via unipotent Magnus embeddings
• Link groups
• Infinitesimal Morita homomorphisms and the tree-level of the LMO invariant
• Introduction to Vassiliev Knot Invariants
• Links, pictures and the homology of nilpotent groups

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