Topological Field Theory Interpretation of String Topology

Communications in Mathematical Physics

Volumn 240, Issue 3, 2003, Pages 397-421

  Cattaneo, Alberto S ^b   Fröhlich, Jürg ^a   Pedrini, Bill ^a  

^a ETH ZURICH   (Switzerland)

^b UNIVERSITY OF ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0141457460     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-003-0917-2     Document Type: Article

References (17)

1. Chas, M., Sullivan, D.: String Topology. Preprint math.GV/9911309
2. Cohen, R.L., Jones, J.D.S.: A Homotopy Theoretic Realization of String Topology. Preprint math.GT/0107187
3. Schwarz, A.S.: The Partition Function of Degenerate Quadratic Functionals and Ray-Singer Invariants. Lett. Math. Phys. 2, 247 (1978)
4. Blau, M., Thompson, G.: Topological Gauge Theories of Antisymmetric Tensor Fields. Ann. Phys. 205, 130 (1991)
5. Witten, E.: Quantum Field Theory and the Jones Polynomial. Commun. Math. Phys. 121, 351 (1989)
6. Cattaneo, A.S., Rossi, C.A.: Higher Dimensional BF Theories in the Batalin-Vilkovisky formalism: The BV action and Generalized Wilson Loops. Commun. Math. Phys. 221, 591 (2001)
7. Cattaneo, A.S., Cotta-Ramusino, P., Rossi, C.A.: Loop Observables for BF Theories in any Dimension and the Cohomology of Knots. Lett. Math. Phys. 51, 301 (2002)
8. Henneaux, M., Teitelboim, C.: Quantisation of Gauge Theories. Princeton, NJ: Princeton University Press, 1992
9. Aleksandrov, M., Schwarz, A., Zaboronsky, O., Kontsevich, M.: The Geometry of the Master Equation and Topological Quantum Field Theory. Int. J. Mod. Phys. A. 12, 1405 (1997)
10. Andersen, J.E., Mattes, J., Reshetikhin, N.: The Poisson Structure on the Moduli Space of Flat Connections and Chord Diagrams. Topology 35, 1069 (1996)
11. DeWitt, B.: Supermanifolds. Cambridge: Cambridge University Press, 1984
12. Goldman, W.: Invariant Functions on Lie Groups and Hamiltonian Flows of Surface Group Representations. Invent. Math. 85, 263 (1986)
13. Andersen, J.E., Mattes, J., Reshetikhin, N.: Quantization of the Algebra of Chord Diagrams. Math. Proc. Camb. Phil. Soc. 124, 451 (1998)
14. Cattaneo, A.S., Cotta-Ramusino, P., Longoni, R.: Configuration Spaces and Vassiliev Classes in Any Dimension. Preprint math.GT/9910139
15. Kontsevich, M.: Vassiliev's Knot Invariants. Adv. Sov. Math. 16, 137 (1993)
16. Fröhlich, J., King, C.: The Chern-Simons Theory and Knot Polynomials. Commun. Math. Phys. 126, 167(1989)
17. Kontsevich, M.: Feynman Diagrams and Low-Dimensional Topology. In: First European Congress of Mathematics, Paris 1992, Volume II, Progress in Mathematics 120, Boston: Birkhäuser, 1994, p. 97