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Axioms for topological quantum field theories. (English) Zbl 0797.53058


MSC:

53Z05 Applications of differential geometry to physics
81T05 Axiomatic quantum field theory; operator algebras
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References:

[1] Atiyah, M.) .- Topological quantum field theories, Publ. Math. IHES68 (1989), pp. 175-186. · Zbl 0692.53053
[2] Moore, G.) and Seiberg, N.) .- Classical and quantum conformal field theory, Comm. Math. Phys.123 (1989), pp. 177-254. · Zbl 0694.53074
[3] Moore, G.) and Seiberg, N.) .- Lectures on RCFT, in Physics, Geometry and Topology (Ed. by H.C. Lee), Plenum Press, New York, 1990. · Zbl 0985.81740
[4] Quinn, F.) . - Topological Foundations of Topological Quantum Field Theory, Preprint, April 1991.
[5] Quinn, F.) .- Lectures on Axiomatic Topological Quantum Field Theory, Preprint, August 1992. · Zbl 0901.18002
[6] Segal, G.) . - The definition of conformal field theory, Preprint 1989.
[7] Turaev, V.) .- Reidemeister torsion in knot theory, Uspekhi Mat. Nauk41 (1986), pp. 97-147 (in Russian); English translation: Russian Math. Surveys41 (1986), pp. 119-182. · Zbl 0602.57005
[8] Turaev, V.) .- Euler structures, non-singular vector fields, and Reidemeister type torsions, Izvest. AN SSSR53 (1989), pp. 607-643 (in Russian). · Zbl 0692.57015
[9] Turaev, V.) .- Quantum invariants of 3-manifolds, Preprint 1992. · Zbl 0752.57010
[10] Walker, K.) .- On Witten’s 3-manifold invariants, Preprint 1991. · Zbl 0745.57006
[11] Witten, E.) .- Quantum field theory and the Jones polynomial, Comm. Math. Phys.121 (1989), pp. 351-399. · Zbl 0667.57005
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