CONFIGURATION SPACE INTEGRALS AND THE COHOMOLOGY OF THE SPACE OF HOMOTOPY STRING LINKS

DOI10.1142/S0218216513500612zbMath1307.57015arXiv1109.0056MaRDI QIDQ2872782

Brian A. Munson, Ismar Volic, Robin Koytcheff

Publication date: 15 January 2014

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.0056

zbMATH Keywords

string linksMilnor invariantsconfiguration space integralsfinite type invariantschord diagramsweight systemshomotopy string links

Mathematics Subject Classification ID

Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Embeddings in differential topology (57R40)

Related Items

Milnor invariants of string links, trivalent trees, and configuration space integrals ⋮ Homotopy Bott-Taubes integrals and the Taylor tower for spaces of knots and links ⋮ The cohomology of the full directed graph complex ⋮ Conformal integrals in four dimensions ⋮ The Milnor triple linking number of string links by cut-and-paste topology ⋮ Conformal correlation functions in four dimensions from quaternionic Lauricella system ⋮ Cosimplicial models for spaces of links ⋮ Bott–Taubes–Vassiliev cohomology classes by cut-and-paste topology

Cites Work

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• The configuration space integral for links in \(\mathbb{R}^3\)
• Link groups
• Derivatives of the identity and generalizations of Milnor's invariants
• A SURVEY OF BOTT–TAUBES INTEGRATION
• WEIGHT SYSTEMS FOR MILNOR INVARIANTS
• FINITE TYPE LINK HOMOTOPY INVARIANTS
• On the self-linking of knots
• On the Existence of Finite Type Link Homotopy Invariants
• NONTRIVIAL CLASSES IN H*(Imb(S¹,ℝⁿ)) FROM NONTRIVALENT GRAPH COCYCLES
• VASSILIEV HOMOTOPY STRING LINK INVARIANTS
• ALGEBRAIC STRUCTURES ON GRAPH COHOMOLOGY

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