Witten's invariants of rational homology spheres at prime values of K and trivial connection contribution

Communications in Mathematical Physics

Volumn 180, Issue 2, 1996, Pages 297-324

  Rozansky, L ^a  

^a UNIVERSITY OF MIAMI   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030486493     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02099715     Document Type: Article

References (25)

1. Witten, E.: Commun. Math. Phys. 121, 351 (1989)
2. Reshetikhin, N., Turaev, V.: Invent. Math. 103, 547 (1991)
3. Kirby, R., Melvin, P.: Invent. Math. 105, 473 (1991)
4. Garoufalidis, S.: Relations among 3-Manifold Invariants. Ph.D. Thesis, University of Chicago, August (1992)
5. Murakami, H.: Math. Proc. Camb. Phil. Soc. 115, 253 (1994)
6. Murakami, H.: Quantum SO(3)-Invariants Dominate the SU(2)-Invariant of Casson and Walker. Preprint, to be published in Math. Proc. Cam. Phil. Soc.
7. Ohtsuki, T.: Math. Proc. Camb. Phil. Soc. 117, 83 (1995)
8. Ohtsuki, T.: A Polynomial Invariant of Rational Homology 3-Spheres. Preprint UTMS 94-49, August 12, 1994
9. Freed, D., Gompf, R.: Commun. Math. Phys. 141, 79 (1991)
10. Jeffrey, L.: Commun. Math. Phys. 147, 563 (1992)
11. Rozansky, L.: A Large k asymptotics of Witten's Invariant of Seifert Manifolds. Preprint UTTG-06-93, hep-th/9303099, to be published in Commun. Math. Phys.
12. Rozansky, L.: Residue Formulas for the Large k Asymptotics of Witten's Invariants of Seifert Manifolds. The Case of SU(2). Preprint UMTG-179-94, hep-th/9412075
13. Axelrod, S., Singer, I.: Chern-Simons Perturbation Theory. Proceedings of XXth Conference on Differential Geometric Methods in Physics, Baruch College, C.U.N.Y., NY, NY
14. Kontsevich, M.: Feynman Diagrams and Low-Dimensional Topology. Preprint, Max-Planck Institut für Mathematik, Bonn
15. Taubes, C.: Unpublished
16. Rozansky, L.: A Contribution of the Trivial Connection to the Jones Polynomial and Witten's Invariant of 3d Manifolds I. Preprint UMTG-172-93, UTTG-30-93, hep-th/9401061, to be published in Commun. Math. Phys.
17. Rozansky, L.: A Contribution of the Trivial Connection to the Jones Polynomial and Witten's Invariant of 3d Manifolds II. Preprint UMTG-187-94, hep-th/9403021, to be published in Commun. Math. Phys.
18. Rozansky, L.: The Trivial Connection Contribution to Witten's Invariant and Finite Type Invariants of Rational Homology Spheres. Preprint UMTG-182-95, q-alg/9503011
19. Rozansky, L.: J. Math. Phys. 35, 5219 (1994)
20. Rozansky, L.: On Finite Type Invariants of Links and Rational Homology Spheres Derived from the Jones Polynomial and Witten-Reshetikhin-Turaev Invariant. Preprint q-alg/9511025
21. Rozansky, L.: In preparation
22. Ireland, K., Rosen, M.: A Classical Introduction to Modern Number Theory. Second edition, Berlin Heidelberg-New York: Springer-Verlag, 1990
23. Ohtsuki, T.: Finite Type Invariants of Integral Homology 3-Spheres. Preprint UTMS 94-42, June 1, 1994
24. Garoufalidis, S.: On Finite Type 3-Manifold Invariants I. Preprint, February 3, 1995
25. Lawrence, R.: Asymptotic Expansions of Witten-Reshetikhin-Turaev Invariants for Some Simple 3-Manifolds. Preprint IHES/M/95/39, to appear in J. Mod. Phys.