Invariants of links and 3-manifolds that count graph configurations

DOI10.5802/wbln.33zbMath1502.57008OpenAlexW4293344560MaRDI QIDQ2094627

Christine Lescop

Publication date: 8 November 2022

Published in: Winter Braids Lecture Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/wbln.33

zbMATH Keywords

knotslinking number\(3\)-manifoldsconfiguration space integralsfinite type invariantstheta invariantCasson-Walker invariantFeynman Jacobi diagramsfirst Pontrjagin classhomology \(3\)-spheresparallelizations of \(3\)-manifoldsperturbative expansion of Chern-Simons theory

Mathematics Subject Classification ID

Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Characteristic classes and numbers in differential topology (57R20) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes (57-02) Finite-type and quantum invariants, topological quantum field theories (TQFT) (57K16) Invariants of 3-manifolds (including skein modules, character varieties) (57K31) General topology of 3-manifolds (57K30)

Cites Work

• Algebraic structures on modules of diagrams
• Quantum field theory and the Jones polynomial
• Chern-Simons perturbation theory. II
• On a universal perturbative invariant of 3-manifolds
• Calculus of clovers and finite type invariants of 3-manifolds
• Higher order generalization of Fukaya's Morse homotopy invariant of 3-manifolds. I: Invariants of homology 3-spheres
• Notes on the Casson invariant of three dimensional homology spheres
• On the Vassiliev knot invariants
• Hilbert modular surfaces
• The configuration space integral for links in \(\mathbb{R}^3\)
• A rational noncommutative invariant of boundary links
• Morse homotopy and Chern-Simons perturbation theory
• Finite type invariants of rational homology 3-spheres
• A formula for the \(\Theta\)-invariant from Heegaard diagrams
• Introduction to Vassiliev Knot Invariants
• An Extension of Casson's Invariant. (AM-126)
• On the self-linking of knots
• ABOUT THE UNIQUENESS OF THE KONTSEVICH INTEGRAL
• PERTURBATIVE CHERN-SIMONS THEORY
• FINITE TYPE INVARIANTS OF INTEGRAL HOMOLOGY 3-SPHERES
• On Homotopy Invariants of Combings of Three-manifolds
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Invariants of links and 3-manifolds that count graph configurations