Asymptotic Expansions of Witten-Reshetikhin-Turaev Invariants for Some Simple 3-Manifolds
Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Conférences de M. Audin, D. Bernard, A. Bilal, B. Enriquez, E. Frenkel, F. Golse, M. Katz, R. Lawrence, O. Mathieu, P. Von Moerbeke, V. Ovsienko, N. Reshetikhin, S. Theisen, Tome 47 (1995), Exposé no. 6, 32 p.
@article{RCP25_1995__47__151_0,
     author = {Lawrence, R. J.},
     title = {Asymptotic {Expansions} of {Witten-Reshetikhin-Turaev} {Invariants} for {Some} {Simple} $3${-Manifolds}},
     journal = {Les rencontres physiciens-math\'ematiciens de Strasbourg -RCP25},
     note = {talk:6},
     pages = {151--182},
     publisher = {Institut de Recherche Math\'ematique Avanc\'ee - Universit\'e Louis Pasteur},
     volume = {47},
     year = {1995},
     language = {en},
     url = {http://archive.numdam.org/item/RCP25_1995__47__151_0/}
}
TY  - JOUR
AU  - Lawrence, R. J.
TI  - Asymptotic Expansions of Witten-Reshetikhin-Turaev Invariants for Some Simple $3$-Manifolds
JO  - Les rencontres physiciens-mathématiciens de Strasbourg -RCP25
N1  - talk:6
PY  - 1995
SP  - 151
EP  - 182
VL  - 47
PB  - Institut de Recherche Mathématique Avancée - Université Louis Pasteur
UR  - http://archive.numdam.org/item/RCP25_1995__47__151_0/
LA  - en
ID  - RCP25_1995__47__151_0
ER  - 
%0 Journal Article
%A Lawrence, R. J.
%T Asymptotic Expansions of Witten-Reshetikhin-Turaev Invariants for Some Simple $3$-Manifolds
%J Les rencontres physiciens-mathématiciens de Strasbourg -RCP25
%Z talk:6
%D 1995
%P 151-182
%V 47
%I Institut de Recherche Mathématique Avancée - Université Louis Pasteur
%U http://archive.numdam.org/item/RCP25_1995__47__151_0/
%G en
%F RCP25_1995__47__151_0
Lawrence, R. J. Asymptotic Expansions of Witten-Reshetikhin-Turaev Invariants for Some Simple $3$-Manifolds. Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Conférences de M. Audin, D. Bernard, A. Bilal, B. Enriquez, E. Frenkel, F. Golse, M. Katz, R. Lawrence, O. Mathieu, P. Von Moerbeke, V. Ovsienko, N. Reshetikhin, S. Theisen, Tome 47 (1995), Exposé no. 6, 32 p. http://archive.numdam.org/item/RCP25_1995__47__151_0/

[1] E. Witten, 'Quantum Field Theory and the Jones Polynomial', Commun. Math. Phys. 121 (1989) p. 351-399. | MR | Zbl

[2] M. F. Atiyah, 'The Geometry and Physics of Knots', Lezione Lincee Cambridge University Press (1990). | MR | Zbl

[3] S. Axelrod, I. M. Singer, 'Chern-Simons perturbation theory', Proc. XXthInt. Conf. Diff. Geom. Methods in Th. Phys., World Scientific (1991) p. 3-45. | MR | Zbl

[4] S. Axelrod, I. M. Singer, 'Chern-Simons perturbation theory II', J. Diff. Geom. 39 (1994) p. 173-213. | MR | Zbl

[5] J. C. Baez, 'Link invariants of finite type and perturabation theory', Lett. Math. Phys. 26 (1992) p. 43-51. | MR | Zbl

[6] D. Bar-Natan, 'Perturbative Chern-Simons Theory', preprint 1994. | MR | Zbl

[7] L. Rozansky, 'Witten's invariant of 3-dimensional manifolds: Loop expansion and surgery calculus', preprint (1993). | MR | Zbl

[8] L. Rozansky, 'A contribution of the trivial connection to the Jones polynomial and Witten's invariant of 3d manifolds I, II', preprint (1994). | MR | Zbl

[9] M. F. Atiyah, 'Topological quantum field theory', Publ. Math. IHES 68 (1989) p. 175-186. | Numdam | MR | Zbl

[10] N. Yu. Reshetikhin, V. G. Turaev, 'Invariants of 3-manifolds via link polynomials and quantum groups', Invent. Math. 103 (1991) p. 547-597. | MR | Zbl

[11] L. H. Kauffman, S. Lins, 'Temperley-Lieb recoupling theory and invariants of 3-manifolds', Princeton University Press (1994). | MR | Zbl

[12] D. S. Freed, R. E. Gompf, 'Computer Calculation of Witten's 3-Manifold Invariant', Commun. Math. Phys. 141 (1991) p. 79-117. | MR | Zbl

[13] L. C. Jeffrey, 'Chern-Simons-Witten Invariants of Lens Spaces and Torus Bundles, and the Semiclassical Approximation', Commun. Math. Phys. 147 (1992) p. 563-604. | MR | Zbl

[14] L. H. Kauffman, S. Lins, 'Computing Turaev-Viro Invariants for 3-manifolds', Manuscripta Math. 72 (1991) p. 81-94. | MR | Zbl

[15] R. Kirby, P. Melvin, 'Evaluations of the 3-Manifold invariants of Witten and Reshetikhin-Turaev for sl(2,C)' , Geometry of lowdimensional manifolds, Cambridge Univ. Press, Lond. Math. Soc. Lect. Note Ser. 151 (1990) p. 101-114. | MR | Zbl

[16] R. Kirby, P. Melvin, 'The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl(2,C)', Invent. Math. 105 (1991) p. 473-545. | MR | Zbl

[17] J. R. Neil, 'Combinatorial calculation of the various normalizations of the Witten invariants for 3-manifolds', J. Knot Th. Ram. 1 (1992) p. 407-449. | MR | Zbl

[18] H. Murakami, 'Quantum SU(2)-invariants dominate Casson's SU(2)-invariant', Math. Proc. Camb. Phil. Soc. 115 (1993) p. 253-281. | MR | Zbl

[19] T. Ohtsuki, 'A polynomial invariant of integral homology 3-spheres', Math. Proc. Camb. Phil. Soc. (to appear). | MR | Zbl

[20] H. Murakami, 'Quantum SO(3)-invariants dominate the SU(2)-invariant of Casson and Walker', preprint (1993). | MR | Zbl

[21] K. Walker, 'An Extension of Casson's Invariant', Annals of Mathematical Studies 126 Princeton University Press (1992). | MR | Zbl

[22] P. Cartier, 'An Introduction to Zeta Functions', From Number Theory to Physics, eds. M. Waldschmidt, P. Moussa, J.-M. Luck, C. Itzykson, Springer Verlag (1992) p. 1-63. | MR | Zbl

[23] D. Bar-Natan, 'On the Vassiliev knot invariants', Topology (to appear). | MR | Zbl

[24] S. Garoufalidis, 'On finite type 3-manifold invariants I', preprint (1995). | MR | Zbl

[25] T. Ohtsuki, 'Finite type invariants of integral homology 3-spheres', preprint (1994). | MR | Zbl

[26] V. G. Turaev, O. Ya. Viro, 'State Sum Invariants of 3-manifolds and quantum 6j-symbols' Topology 31 (1992) p. 865-902. | MR | Zbl