Graph invariants of Vassiliev type and application to 4D quantum gravity

DOI10.1007/BF02099627zbMath0858.57005arXivq-alg/9503010OpenAlexW3099310822MaRDI QIDQ1924105

Nobuharu Hayashi

Publication date: 2 April 1997

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9503010

zbMATH Keywords

quantum groupquantum gravitygraph invariantsVassiliev invariantsquasi-triangular ribbon Hopf algebratangle operators

Mathematics Subject Classification ID

Methods of quantum field theory in general relativity and gravitational theory (83C47) Relations of low-dimensional topology with graph theory (57M15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new characterization of half-flat solutions to Einstein's equation
• Quaternionic Kaehler manifolds
• The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl\((2,\mathbb{C})\)
• Finite type link invariants of 3-manifolds
• The link invariants of the Chern-Simons field theory. New developments in topological quantum field theory
• Chern-Simons perturbation theory. II
• On the Vassiliev knot invariants
• Ribbon graphs and their invariants derived from quantum groups
• Invariants of 3-manifolds via link polynomials and quantum groups
• Knot polynomials and Vassiliev's invariants
• Invariants of Graphs in Three-Space
• LINK POLYNOMIALS AND A GRAPHICAL CALCULUS
• Knot invariants as nondegenerate quantum geometries
• Quantum invariants of knots and 3-manifolds
• Loop spaces, characteristic classes and geometric quantization

This page was built for publication: Graph invariants of Vassiliev type and application to 4D quantum gravity