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Volumn 146, Issue 1, 1999, Pages 39-100

Structures and diagrammatics of four dimensional topological lattice field theories

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EID: 0002089763     PISSN: 00018708     EISSN: None     Source Type: Journal    
DOI: 10.1006/aima.1998.1822     Document Type: Article
Times cited : (22)

References (47)
  • 1
    • 0004089001 scopus 로고
    • Cambridge: Cambridge Univ. Press
    • Abe E. Hopf Algebras. 1977;Cambridge Univ. Press, Cambridge.
    • (1977) Hopf Algebras
    • Abe, E.1
  • 2
    • 0000429934 scopus 로고
    • The combinatorial theory of complexes
    • Alexander J. W. The combinatorial theory of complexes. Ann. of Math. (2). 31:1930;294-322.
    • (1930) Ann. of Math. (2) , vol.31 , pp. 294-322
    • Alexander, J.W.1
  • 7
    • 0030578646 scopus 로고    scopus 로고
    • Higher-dimensional algebra. I. Braided monoidal 2-categories
    • Baez J., Neuchl M. Higher-dimensional algebra. I. Braided monoidal 2-categories. Adv. Math. 121:1996;196-244.
    • (1996) Adv. Math. , vol.121 , pp. 196-244
    • Baez, J.1    Neuchl, M.2
  • 9
    • 21444457888 scopus 로고    scopus 로고
    • Invariants of piecewise-linear 3-manifolds
    • Barrett J., Westbury B. Invariants of piecewise-linear 3-manifolds. Trans. Amer. Math. Soc. 348:1996;3997-4022.
    • (1996) Trans. Amer. Math. Soc. , vol.348 , pp. 3997-4022
    • Barrett, J.1    Westbury, B.2
  • 11
  • 13
    • 0003315583 scopus 로고    scopus 로고
    • Knotted Surfaces and Their Diagrams
    • Providence: Amer. Math. Soc.
    • Carter J. S., Saito M. Knotted Surfaces and Their Diagrams. Surveys and Monographs. 55:1998;Amer. Math. Soc. Providence.
    • (1998) Surveys and Monographs , vol.55
    • Carter, J.S.1    Saito, M.2
  • 14
    • 0001388868 scopus 로고
    • Structure of topological lattice field theories in three dimensions
    • Chung S., Fukuma M., Shapere A. Structure of topological lattice field theories in three dimensions. Internat. J. Modern Phys. A. 9:1994;1305-1360.
    • (1994) Internat. J. Modern Phys. a , vol.9 , pp. 1305-1360
    • Chung, S.1    Fukuma, M.2    Shapere, A.3
  • 15
    • 21844501619 scopus 로고
    • Four dimensional topological quantum field theory, Hopf categories, and canonical basis
    • Crane L., Frenkel I. Four dimensional topological quantum field theory, Hopf categories, and canonical basis. J. Math. Phys. 35:1994;5136.
    • (1994) J. Math. Phys. , vol.35 , pp. 5136
    • Crane, L.1    Frenkel, I.2
  • 20
    • 0000680015 scopus 로고
    • Topologcal gauge theories and group cohomology
    • Dijkgraaf R., Witten E. Topologcal gauge theories and group cohomology. Comm. Math. Phys. 129:1990;393-429.
    • (1990) Comm. Math. Phys. , vol.129 , pp. 393-429
    • Dijkgraaf, R.1    Witten, E.2
  • 22
    • 70349150512 scopus 로고
    • Extended structures in topological quantum field theory
    • R. Baadhio, & L. Kauffman. Singapore: World Scientific
    • Freed D. Extended structures in topological quantum field theory. Baadhio R., Kauffman L. Quantum Topology. 1993;162-173 World Scientific, Singapore.
    • (1993) Quantum Topology , pp. 162-173
    • Freed, D.1
  • 23
    • 21344482750 scopus 로고
    • Lattice topological field theory in two dimensions
    • Fukuma M., Hosono S., Kawai H. Lattice topological field theory in two dimensions. Comm. Math. Phys. 161:1994;157-175.
    • (1994) Comm. Math. Phys. , vol.161 , pp. 157-175
    • Fukuma, M.1    Hosono, S.2    Kawai, H.3
  • 24
    • 0001665177 scopus 로고
    • Hecke algebra representations of braid groups and link polynomials
    • Jones V. F. R. Hecke algebra representations of braid groups and link polynomials. Ann. of Math. 126:1987;335-388.
    • (1987) Ann. of Math. , vol.126 , pp. 335-388
    • Jones, V.F.R.1
  • 25
    • 0001035527 scopus 로고
    • 2-Categories and Zamolodchikov tetrahedra equations
    • Providence: Amer. Math. Soc. p. 177-259
    • Kapranov M. M., Voevodsky V. A. 2-Categories and Zamolodchikov tetrahedra equations. Proc. Sympos. Pure Math. 1994;Amer. Math. Soc. Providence. p. 177-259.
    • (1994) Proc. Sympos. Pure Math.
    • Kapranov, M.M.1    Voevodsky, V.A.2
  • 26
    • 0009932815 scopus 로고    scopus 로고
    • Knots and diagrams
    • S. Suzuki. Singapore: World Scientific
    • Kauffman L. H. Knots and diagrams. Suzuki S. Lectures at Knots 96. 1997;123-194 World Scientific, Singapore.
    • (1997) Lectures at Knots 96 , pp. 123-194
    • Kauffman, L.H.1
  • 28
    • 0004038276 scopus 로고
    • The Temperley-Lieb Algebra Recoupling Theory and Invariants of 3-Manifolds
    • Princeton: Princeton Univ. Press
    • Kauffman L. H., Lins S. The Temperley-Lieb Algebra Recoupling Theory and Invariants of 3-Manifolds. Ann. of Math. Stud. 134:1994;Princeton Univ. Press, Princeton.
    • (1994) Ann. of Math. Stud. , vol.134
    • Kauffman, L.H.1    Lins, S.2
  • 29
    • 0000909641 scopus 로고
    • Invariants of 3-manifolds derived from finite-dimensional Hopf algebras
    • Kauffman L. H., Radford D. E. Invariants of 3-manifolds derived from finite-dimensional Hopf algebras. J. Knot. Theory Ramifications. 4:1995;131-162.
    • (1995) J. Knot. Theory Ramifications , vol.4 , pp. 131-162
    • Kauffman, L.H.1    Radford, D.E.2
  • 30
    • 0000896336 scopus 로고
    • Coherence theorems for lax algebras and distributive laws
    • New York/Berlin: Springer-Verlag. p. 281-375
    • Kelly G. Coherence theorems for lax algebras and distributive laws. Lecture Notes in Math. 1974;Springer-Verlag, New York/Berlin. p. 281-375.
    • (1974) Lecture Notes in Math.
    • Kelly, G.1
  • 32
    • 0002309779 scopus 로고
    • Involutory Hopf algebras and 3-manifold invariants
    • Kuperberg G. Involutory Hopf algebras and 3-manifold invariants. Internat. J. Math. 2:1991;41-66.
    • (1991) Internat. J. Math. , vol.2 , pp. 41-66
    • Kuperberg, G.1
  • 34
    • 0001773973 scopus 로고
    • Coherence for distributivity
    • Berlin/New York: Springer-Verlag. p. 29-65
    • Laplaza M. Coherence for distributivity. Lecture Notes in Math. 1972;Springer-Verlag, Berlin/New York. p. 29-65.
    • (1972) Lecture Notes in Math.
    • Laplaza, M.1
  • 35
    • 0039848179 scopus 로고    scopus 로고
    • An introduction to topological field theory
    • Providence: Amer. Math. Soc. p. 89-128
    • Lawrence R. J. An introduction to topological field theory. Proc. Sympos. Appl. Math. 1996;Amer. Math. Soc. Providence. p. 89-128.
    • (1996) Proc. Sympos. Appl. Math.
    • Lawrence, R.J.1
  • 36
    • 0003229461 scopus 로고
    • Hopf Algebras and Their Actions on Rings
    • Providence: Amer. Math. Soc.
    • Hopf Algebras and Their Actions on Rings. CBMS Study. 82:1993;Amer. Math. Soc. Providence.
    • (1993) CBMS Study , vol.82
  • 37
    • 0042575025 scopus 로고    scopus 로고
    • Representation theory of Hopf categories
    • in press
    • M. Neuchl, Representation theory of Hopf categories, Adv. Math, in press.
    • Adv. Math
    • Neuchl, M.1
  • 38
    • 0001569507 scopus 로고
    • Topological lattice models in four dimensions
    • Ooguri H. Topological lattice models in four dimensions. Modern Phys. Lett. A. 7:1992;2799-2810.
    • (1992) Modern Phys. Lett. a , vol.7 , pp. 2799-2810
    • Ooguri, H.1
  • 39
    • 85025529248 scopus 로고
    • PL homeomorphic manifolds are equivalent by elementary shelling
    • Pachner U. PL homeomorphic manifolds are equivalent by elementary shelling. European J. Combin. 12:1991;129-145.
    • (1991) European J. Combin. , vol.12 , pp. 129-145
    • Pachner, U.1
  • 40
    • 0000155804 scopus 로고
    • Skein theory and Turaev-Viro invariants
    • Roberts J. Skein theory and Turaev-Viro invariants. Topology. 34:1995;771-787.
    • (1995) Topology , vol.34 , pp. 771-787
    • Roberts, J.1
  • 42
    • 0542373499 scopus 로고
    • Invariants of 3-manifolds via link polynomials
    • Reshetikhin N., Turaev V. Invariants of 3-manifolds via link polynomials. Invent. Math. 103:1991;547-597.
    • (1991) Invent. Math. , vol.103 , pp. 547-597
    • Reshetikhin, N.1    Turaev, V.2
  • 44
    • 44049114062 scopus 로고
    • State sum invariants of 3-manifolds and quantum 6j-symbols
    • Turaev V., Ya Viro O. State sum invariants of 3-manifolds and quantum 6j-symbols. Topology. 31:1992;865-902.
    • (1992) Topology , vol.31 , pp. 865-902
    • Turaev, V.1    Ya Viro, O.2
  • 45
    • 84972575523 scopus 로고
    • On Dijkgraaf-Witten invariants for 3-manifolds
    • Wakui M. On Dijkgraaf-Witten invariants for 3-manifolds. Osaka J. Math. 29:1992;675-696.
    • (1992) Osaka J. Math. , vol.29 , pp. 675-696
    • Wakui, M.1
  • 46
    • 14644388676 scopus 로고
    • Quantum field theory and the Jones polynomial
    • Witten E. Quantum field theory and the Jones polynomial. Comm. Math. Phys. 121:1989;351-399.
    • (1989) Comm. Math. Phys. , vol.121 , pp. 351-399
    • Witten, E.1
  • 47
    • 0002519291 scopus 로고
    • Topological quantum field theories associated to finite groups and crossed G-sets
    • Yetter D. Topological quantum field theories associated to finite groups and crossed G-sets. J. Knot Theory Ramifications. 1:1992;1-20.
    • (1992) J. Knot Theory Ramifications , vol.1 , pp. 1-20
    • Yetter, D.1


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