A. Adler and S. Ramanan, Moduli of abelian varieties, Lecture Notes in Mathematics, vol.1644, 1996.
DOI : 10.1007/BFb0093659
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.121.759

J. E. Andersen, Deformation Quantization and Geometric Quantization of Abelian Moduli Spaces, Communications in Mathematical Physics, vol.49, issue.3, pp.727-745, 2005.
DOI : 10.1007/s00220-004-1244-y

J. E. Andersen, Asymptotic faithfulness of the quantum SU(n) representations of the mapping class groups, Annals of Mathematics, vol.163, issue.1, pp.347-368, 2006.
DOI : 10.4007/annals.2006.163.347

J. E. Andersen and J. L. Blaavand, Asymptotics of Toeplitz operators and applications in TQFT, Geometry and quantization, pp.167-201

J. E. Andersen and J. Fjelstad, Reducibility of Quantum Representations of Mapping Class Groups, Letters in Mathematical Physics, vol.121, issue.2, pp.215-239, 2010.
DOI : 10.1090/conm/294/04972

M. Atiyah, Topological quantum field theories, Inst. Hautes Études Sci. Publ. Math, issue.68, pp.175-186, 1988.

M. Atiyah, On framings of 3-manifolds, Topology, vol.29, issue.1, pp.1-7, 1990.
DOI : 10.1016/0040-9383(90)90021-B

S. Axelrod, S. D. Pietra, and E. Witten, Geometric quantization of Chern-Simons gauge theory, Journal of Differential Geometry, vol.33, issue.3, pp.787-902, 1991.
DOI : 10.4310/jdg/1214446565

B. Bekka, P. De-la-harpe, and A. Valette, Kazhdan's property (T), volume 11 of New Mathematical Monographs, 2008.

B. C. Berndt and R. J. Evans, The determination of Gauss sums, Bulletin of the American Mathematical Society, vol.5, issue.2, pp.107-129, 1981.
DOI : 10.1090/S0273-0979-1981-14930-2

M. V. Berry and J. H. Hannay, Quantization of linear maps on a torus-Fresnel diffraction by a periodic grating, Phys. D, vol.1, issue.3, pp.267-290, 1980.

J. S. Birman, On Siegel's modular group, Mathematische Annalen, vol.64, issue.1, pp.59-68, 1971.
DOI : 10.1007/BF01433472

C. Blanchet, N. Habegger, G. Masbaum, and P. Vogel, Remarks on the three-manifold invariants ? p . In Operator algebras, mathematical physics, and low-dimensional topology, Res. Notes Math, vol.5, pp.39-59, 1991.

C. Blanchet, N. Habegger, G. Masbaum, and P. Vogel, Topological Auantum Field Theories derived from the Kauffman bracket, Topology, vol.34, issue.4, pp.883-927, 1995.
DOI : 10.1016/0040-9383(94)00051-4
URL : http://doi.org/10.1016/0040-9383(94)00051-4

C. Blanchet and G. Masbaum, structure, Duke Mathematical Journal, vol.82, issue.2, pp.229-267, 1996.
DOI : 10.1215/S0012-7094-96-08211-3
URL : https://hal.archives-ouvertes.fr/hal-00415901

A. Cappelli, C. Itzykson, and J. Zuber, Modular invariant partition functions in two dimensions, Nuclear Physics B, vol.280, issue.3, pp.445-465, 1987.
DOI : 10.1016/0550-3213(87)90155-6

A. Cappelli, C. Itzykson, and J. Zuber, The A-D-E classification of minimal andA 1 (1) conformal invariant theories, Communications in Mathematical Physics, vol.275, issue.1, pp.1-26, 1987.
DOI : 10.1016/0370-2693(86)90936-6

C. Chevalley, Introduction to the Theory of Algebraic Functions of One Variable Mathematical Surveys, No. VI, 1951.

G. Cliff, D. Mcneilly, and F. Szechtman, Weil Representations of Symplectic Groups Over Rings, Journal of the London Mathematical Society, vol.62, issue.2, pp.423-436, 2000.
DOI : 10.1112/S0024610700001381
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.28.627

A. Coste and T. Gannon, Congruence subgroups and rational conformal field theory. ArXiv Mathematics e-prints, 1999.

F. Deloup and C. Gille, Abelian quantum invariants indeed classify linking pairings, Knots in Hellas '98, pp.295-302, 2001.
DOI : 10.1016/S0764-4442(97)82715-2

M. Demazure, Cours d'algèbre. Cassini, 1997.

J. K. Egsgaard and S. Fuglede-jørgensen, The homological content of the Jones representations at $q = -1$. ArXiv e-prints, 2014.

F. Faure, S. Nonnenmacher, and S. De-bièvre, Scarred Eigenstates for Quantum Cat Maps of Minimal Periods, Communications in Mathematical Physics, vol.239, issue.3, pp.449-492, 2003.
DOI : 10.1007/s00220-003-0888-3
URL : https://hal.archives-ouvertes.fr/hal-00383047

R. Fehn and C. Rourke, On Kirby's calculus of links, Topology, vol.18, issue.1, pp.1-15, 1995.
DOI : 10.1016/0040-9383(79)90010-7

E. Formanek, Braid Group Representations of Low Degree, Proceedings of the London Mathematical Society, vol.3, issue.2, pp.279-322, 1996.
DOI : 10.1112/plms/s3-73.2.279

M. Freedman and V. Krushkal, On the asymptotics of quantum SU(2) representations of mapping class groups, Forum Mathematicum, vol.40, issue.2, pp.293-304, 2006.
DOI : 10.1016/S0040-9383(99)00066-X

M. H. Freedman, K. Walker, and Z. Wang, (2) faithfully detects mapping class groups modulo center, Geometry & Topology, vol.6, issue.2, pp.523-539, 2002.
DOI : 10.2140/gt.2002.6.523
URL : http://arxiv.org/abs/math/0209150

L. Funar, On the TQFT representations of the mapping class groups, Pacific Journal of Mathematics, vol.188, issue.2, pp.251-274, 1999.
DOI : 10.2140/pjm.1999.188.251

L. Funar, Some abelian invariants of 3-manifolds, Rev. Roumaine Math. Pures Appl, vol.45, issue.5, pp.825-861, 2000.

L. Funar and W. Pitsch, Finite quotients of symplectic groups vs mapping class groups, 2011.

R. Gelca and A. Uribe, From Classical Theta Functions to Topological Quantum Field Theory, 2010.
DOI : 10.1090/conm/621/12415
URL : http://arxiv.org/abs/1006.3252

D. Gepner and Z. Qiu, Modular invariant partition functions for parafermionic field theories, Nuclear Physics B, vol.285, issue.3, pp.423-453, 1987.
DOI : 10.1016/0550-3213(87)90348-8

S. Gervais, A finite presentation of the mapping class group of a punctured surface, Topology, vol.40, issue.4, pp.703-725, 2001.
DOI : 10.1016/S0040-9383(99)00079-8

P. M. Gilmer, On the Witten-Reshetikhin-Turaev representations of mapping class groups, Proc. Amer, pp.2483-2488, 1999.

P. M. Gilmer and G. Masbaum, Integral lattices in TQFT, Annales Scientifiques de l??cole Normale Sup?rieure, vol.40, issue.5, pp.815-844, 2007.
DOI : 10.1016/j.ansens.2007.07.002

P. M. Gilmer and G. Masbaum, Irreducible factors of modular representations of mapping class groups arising in Integral TQFT, Quantum Topology, vol.5, issue.2, 2012.
DOI : 10.4171/QT/51

P. M. Gilmer and G. Masbaum, Maslov index, lagrangians, mapping class groups and TQFT, Forum Mathematicum, vol.164, issue.4, pp.1067-1106, 2013.
DOI : 10.1007/BF01086635
URL : http://arxiv.org/abs/0912.4706

T. Gocho, The topological invariant of three-manifolds based on the U(1) gauge theory, J. Fac. Sci. Univ. Tokyo Sect. IA Math, vol.39, issue.1, pp.169-184, 1992.

R. E. Gompf and A. Stipsicz, 4-manifolds and Kirby calculus, 1999.
DOI : 10.1090/gsm/020

S. Gurevich and R. Hadani, The Weil representation in characteristic two, Advances in Mathematics, vol.230, issue.3, pp.894-926, 2012.
DOI : 10.1016/j.aim.2012.03.008

R. Hartshorne, Algebraic geometry, Graduate Texts in Mathematics, vol.52, issue.52, 1977.
DOI : 10.1007/978-1-4757-3849-0

A. Hatcher and D. Margalit, Generating the Torelli group, L?Enseignement Math?matique, vol.58, issue.1, pp.165-188, 2012.
DOI : 10.4171/LEM/58-1-8
URL : http://arxiv.org/abs/1110.0876

J. Hoste and J. Przytycki, A survey of skein modules of 3-manifolds, Knots 90, pp.363-379, 1990.
DOI : 10.1515/9783110875911.363

J. Igusa, On the Graded Ring of Theta-Constants (II), American Journal of Mathematics, vol.88, issue.1, pp.221-236, 1966.
DOI : 10.2307/2373057

V. F. Jones, Index for subfactors, Inventiones Mathematicae, vol.6, issue.1, pp.1-25, 1983.
DOI : 10.1007/BF01389127

V. F. Jones, A polynomial invariant for knots via von Neumann algebras, Bulletin of the American Mathematical Society, vol.12, issue.1, pp.103-112, 1985.
DOI : 10.1090/S0273-0979-1985-15304-2

L. H. Kauffman, STATE MODELS AND THE JONES POLYNOMIAL, Topology, vol.26, issue.3, pp.395-407, 1987.
DOI : 10.1142/9789812798329_0010

D. Kelmer, On Matrix Elements for the Quantized Cat Map Modulo Prime Powers, Annales Henri Poincar?, vol.9, issue.8, pp.1479-1501, 2008.
DOI : 10.1007/s00023-008-0394-4

R. Kirby, A calculus for framed links inS 3, Inventiones Mathematicae, vol.2, issue.1, pp.35-56, 1978.
DOI : 10.1007/978-3-642-88330-9

R. Kirby and P. Melvin, Evaluations of the 3-manifold invariants of Witten and Reshetikhin-Turaev for sl(2, C) In Geometry of low-dimensional manifolds, London Math. Soc. Lecture Note Ser, vol.151, issue.2, pp.101-114, 1989.

A. A. Kirillov, Elements of the theory of representations, 1976.
DOI : 10.1007/978-3-642-66243-0

W. Klingenberg, Symplectic Groups Over Local Rings, American Journal of Mathematics, vol.85, issue.2, pp.232-240, 1963.
DOI : 10.2307/2373212

H. D. Kloosterman, The Behavior of General Theta Functions Under the Modular Group and the Characters of Binary Modular Congruence Groups. I, The Annals of Mathematics, vol.47, issue.3, pp.317-375, 1946.
DOI : 10.2307/1969082

J. Korinman, Decomposition of the Weil representations into irreducible factors. ArXiv e-prints, 2013.

J. Korinman, Decomposition of some Reshitekhin-Turaev representations into irreducible factors. ArXiv e-prints, 2014.

P. Kurlberg and Z. Rudnick, Hecke theory and equidistribution for the quantization of linear maps of the torus, Duke Math. J, vol.103, issue.1, pp.47-77, 2000.

J. D. Lafferty and D. Rockmore, over a Finite Field and Related Numerical Experiments, Experimental Mathematics, vol.4, issue.1, pp.115-139, 1992.
DOI : 10.1007/978-3-642-61804-8

M. Larsen and Z. Wang, Density of the SO(3) TQFT Representation of Mapping Class Groups, Communications in Mathematical Physics, vol.5, issue.3, pp.641-658, 2005.
DOI : 10.4310/CAG.1996.v4.n4.a3

W. B. Lickorish, A Representation of Orientable Combinatorial 3-Manifolds, The Annals of Mathematics, vol.76, issue.3, pp.531-540, 1962.
DOI : 10.2307/1970373

W. B. Lickorish, A finite set of generators for the homeotopy group of a 2-manifold, Mathematical Proceedings of the Cambridge Philosophical Society, vol.59, issue.04
DOI : 10.2307/1970373

W. B. Lickorish, Invariants for 3-manifolds from the combinatorics of the Jones polynomial, Pacific Journal of Mathematics, vol.149, issue.2, pp.337-347, 1991.
DOI : 10.2140/pjm.1991.149.337

G. Lion and M. Vergne, The Weil representation, Maslov index and theta series, Progress in Mathematics, vol.6, 1980.
DOI : 10.1007/978-1-4684-9154-8

N. Lu, A simple presentation of the Siegel modular groups, Linear Algebra and its Applications, vol.166, pp.185-194, 1992.
DOI : 10.1016/0024-3795(92)90276-G

J. Marché, The Kauffman skein algebra of a surface at $${\sqrt{-1}}$$, Mathematische Annalen, vol.121, issue.4, pp.347-364, 2011.
DOI : 10.1007/BF01217730

J. Marché and M. Narimannejad, Some asymptotics of Topological quantum field theory via skein theory, Duke Mathematical Journal, vol.141, issue.3, pp.573-587, 2008.
DOI : 10.1215/00127094-2007-006

G. Masbaum, An element of infinite order in TQFT-representations of mapping class groups, Contemp. Math. Amer. Math. Soc, vol.233, pp.137-139, 1998.
DOI : 10.1090/conm/233/03423

G. Masbaum and J. D. Roberts, On central extensions of mapping class groups, Mathematische Annalen, vol.121, issue.No. 2, pp.131-150, 1995.
DOI : 10.1007/BF01444490

G. Masbaum and P. Vogel, 3-valent graphs and the Kauffman bracket, Pacific Journal of Mathematics, vol.164, issue.2, pp.361-381, 1994.
DOI : 10.2140/pjm.1994.164.361

H. Murakami, T. Ohtsuki, and M. Okada, Invariants of three-manifolds derived from linking matrices of framed links, Osaka J. Math, vol.29, issue.3, pp.545-572, 1992.

J. Powell, Two theorems on the mapping class group of a surface, Proc. Amer, pp.347-350, 1978.
DOI : 10.1090/S0002-9939-1978-0494115-8

A. Putman, Cutting and pasting in the Torelli group, Geometry & Topology, vol.11, issue.2, pp.829-865, 2007.
DOI : 10.2140/gt.2007.11.829

K. Qazaqzeh, Integral lattices of the SU (2)-TQFT-modules, Kobe J. Math, vol.30, issue.1 2, pp.19-32, 2013.

N. Reshetikhin and V. G. Turaev, Invariants of 3-manifolds via link polynomials and quantum groups, Inventiones Mathematicae, vol.121, issue.1, pp.547-597, 1991.
DOI : 10.4153/CJM-1960-045-7

J. Roberts, IRREDUCIBILITY OF SOME QUANTUM REPRESENTATIONS OF MAPPING CLASS GROUPS, Knots in Hellas '98, pp.763-767, 2001.
DOI : 10.1016/0040-9383(94)00053-0

R. Santharoubane, Limits of the quantum SO(3) representations for the one-holed torus. ArXiv e-prints, 2012.

I. E. Segal, Lectures at the 1960 boulder summer seminar, 1962.

J. Serre, Linear representations of finite groups, volume 42 of Graduate Texts in Mathematics, 1977.

D. Shale, Linear symmetries of free boson fields, Transactions of the American Mathematical Society, vol.103, issue.1, pp.149-167, 1962.
DOI : 10.1090/S0002-9947-1962-0137504-6

G. Shimura, Moduli and Fibre Systems of Abelian Varieties, The Annals of Mathematics, vol.83, issue.2, pp.294-338, 1966.
DOI : 10.2307/1970434

J. Souriau, Quantification géométrique, Comm. Math. Phys, vol.1, pp.374-398, 1966.

V. G. Turaev, A cocycle of the symplectic first Chern class and Maslov indices, Funktsional. Anal. i Prilozhen, vol.18, issue.1, pp.43-48, 1984.

V. G. Turaev, Conway and Kauffman modules of a solid torus, Journal of Soviet Mathematics, vol.102, issue.1, pp.79-89, 1988.
DOI : 10.1007/BF01099241

V. G. Turaev, Quantum invariants of knots and 3-manifolds, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00082503

. Walker, On witten's 3-manifold invariants, 1991.

A. H. Wallace, Modifications and cobounding manifolds. Canad, J. Math, vol.12, pp.503-528, 1960.
DOI : 10.4153/cjm-1960-045-7

A. Weil, Sur certains groupes d'op?rateurs unitaires, Acta Mathematica, vol.111, issue.0, pp.143-211, 1964.
DOI : 10.1007/BF02391012

J. Weitsman, Quantization via real polarization of the moduli space of flat connections and Chern-Simons gauge theory in genus one, Communications in Mathematical Physics, vol.121, issue.1, pp.175-190, 1991.
DOI : 10.1007/BF02099122

E. Witten, Topological quantum field theory, Communications in Mathematical Physics, vol.57, issue.3, pp.353-386, 1988.
DOI : 10.1016/0370-2693(78)90826-2

E. Witten, Quantum field theory and the Jones polynomial, Communications in Mathematical Physics, vol.80, issue.3, pp.351-399, 1989.
DOI : 10.1142/S0217732388000398

G. Wright, THE RESHETIKHIN-TURAEV REPRESENTATION OF THE MAPPING CLASS GROUP AT THE SIXTH ROOT OF UNITY, Journal of Knot Theory and Its Ramifications, vol.05, issue.05, pp.721-739, 1996.
DOI : 10.1142/S0218216596000412