Cyclotomic associators and finite type invariants for tangles in the solid torus

DOI10.2140/agt.2013.13.3365zbMath1321.57005arXiv1209.0417OpenAlexW2029504235MaRDI QIDQ373640

Adrien Brochier

Publication date: 18 October 2013

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.0417

zbMATH Keywords

finite type invariantchord diagramcyclotomic associatorVassiliev-Kontsevich invariant

Mathematics Subject Classification ID

Related Items (13)

Quantum character varieties and braided module categories ⋮ On the classification of topological orders ⋮ Ribbon braided module categories, quantum symmetric pairs and Knizhnik-Zamolodchikov equations ⋮ Minimal nondegenerate extensions ⋮ A categorical approach to dynamical quantum groups ⋮ Comparison of quantizations of symmetric spaces: cyclotomic Knizhnik–Zamolodchikov equations and Letzter–Kolb coideals ⋮ Stokes phenomenon and reflection equations ⋮ Unnamed Item ⋮ Polynomial functors and two-parameter quantum symmetric pairs ⋮ Braided Picard groups and graded extensions of braided tensor categories ⋮ A topological origin of quantum symmetric pairs ⋮ Actions of skew braces and set-theoretic solutions of the reflection equation ⋮ The symmetry enriched center functor is fully faithful

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Kohno-Drinfeld theorem for the monodromy of cyclotomic KZ connections
• Mixed pentagon, octagon, and Broadhurst duality equations
• Bar complex, configuration spaces and finite type invariants for braids
• Structure of quasitriangular quasi-Hopf algebras
• Tortile tensor categories
• Koszul DG-algebras arising from configuration spaces
• Braids on surfaces and finite type invariants.
• On the Vassiliev knot invariants
• Ribbon graphs and their invariants derived from quantum groups
• Combinatorial expression for universal Vassiliev link invariant
• Representation of the category of tangles by Kontsevich's iterated integral
• Integrality and symmetry of quantum link invariants
• Chord diagram invariants of tangles and graphs
• Claspers and finite type invariants of links
• Flat connections on configuration spaces and braid groups of surfaces
• Quasi-reflection algebras and cyclotomic associators
• Die Fundamentalgruppe des Raumes der regulären Orbits einer endlichen komplexen Spiegelungsgruppe
• Introduction to Vassiliev Knot Invariants
• On the holonomy Lie algebra and the nilpotent completion of the fundamental group of the complement of hypersurfaces
• Quantization of the algebra of chord diagrams
• Knot theory related to generalized and cyclotomic Hecke algebras of type ℬ
• Universal KZB Equations: The Elliptic Case
• UNIVERSAL VASSILIEV INVARIANTS OF LINKS IN COVERINGS OF 3-MANIFOLDS
• Introduction to quantum groups
• Quantum invariants of knots and 3-manifolds
• Actions of tensor categories, cylinder braids and their Kauffman polynomial

This page was built for publication: Cyclotomic associators and finite type invariants for tangles in the solid torus