Generalized Barrett-Crane vertices and invariants of embedded graphs

Journal of Knot Theory and its Ramifications

Volumn 8, Issue 6, 1999, Pages 815-829

  Yetter, David N ^a  

^a KANSAS STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033422310     PISSN: 02182165     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218216599000511     Document Type: Article

References (13)

1. Barrett, J.W. and Crane, L., "Relativistic Spin Networks and Quantum Gravity," gr-qc 9709028 (to appear JMP).
2. Crane, L., Kauffman, L.H., and Yetter, D.N., "State-Sum Invariants of 4-Manifolds," JKTR 4 (2) (1997) 177-234.
3. Ellis-Monaghan, J.A., "New Results for the Martin Polynomial," preprint (1997).
4. Freyd, P.J. and Yetter, D.N., "Braided Compact Closed Categories with Applications to Low-Dimensional Topology," Adv. in Math. 77 (2) (1989) 156-182.
5. Joyal, A. and Street, R., "The Geometry of Tensor Calculus, I," Adv. in Math. 88 (1) (1991) 55-112.
6. Kauffman, L.H. and Lins, S.L., Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds, Princeton Univ. Press (1994).
7. Martin, P. Enumerations Euleriennes dans les Multigraphs et Invariants de Tutte-Grothendeick, Thesis, Grenoble, 1977.
8. Mac Lane, S. Categories for the Working Mathematician, Springer (1971).
9. G. Ponzano and T. Regge, "Semiclassical Limit of Racah Coefficients" in Spectroscopic and Group Theoretic Methods in Physics (R. Bloch, ed), North Holland, Amsterdam, 1968.
10. Reshetikhin, N.Yu. and Turaev, V.G., "Ribbon Graphs and Their Invariants Derived from Quantum Groups," Comm. Math. Phys. 127 (1) (1990) 1-26.
11. Shum, M.-C. "Tortile Tensor Categories," J. Pure and App. Alg. 93 (1) (1994), 57-110.
12. Yetter, D.N., "Quantum Groups and Representations of Monoidal Categories," Math. Proc. Camb. Phil. Soc. 108 (1990) 261-290.
13. 3," Adv. in Math 77 (2) (1989) 137-155.