Invariants for 3-manifolds
[Invariants pour les variétés de dimension 3]
Thèses d'Orsay, no. 371 (1994) , 228 p.
@phdthesis{BJHTUP11_1994__0371__P0_0,
     author = {Funar, Louis},
     title = {Invariants for 3-manifolds},
     series = {Th\`eses d'Orsay},
     publisher = {Universit\'e de Paris-Sud Centre d'Orsay},
     number = {371},
     year = {1994},
     language = {en},
     url = {http://www.numdam.org/item/BJHTUP11_1994__0371__P0_0/}
}
TY  - BOOK
AU  - Funar, Louis
TI  - Invariants for 3-manifolds
T3  - Thèses d'Orsay
PY  - 1994
IS  - 371
PB  - Université de Paris-Sud Centre d'Orsay
UR  - http://www.numdam.org/item/BJHTUP11_1994__0371__P0_0/
LA  - en
ID  - BJHTUP11_1994__0371__P0_0
ER  - 
%0 Book
%A Funar, Louis
%T Invariants for 3-manifolds
%S Thèses d'Orsay
%D 1994
%N 371
%I Université de Paris-Sud Centre d'Orsay
%U http://www.numdam.org/item/BJHTUP11_1994__0371__P0_0/
%G en
%F BJHTUP11_1994__0371__P0_0
Funar, Louis. Invariants for 3-manifolds. Thèses d'Orsay, no. 371 (1994), 228 p. http://numdam.org/item/BJHTUP11_1994__0371__P0_0/

[Abi77] H. Abikoff. The geometry of Teichmuller space. Lect. Notes Math., 1977.

[ADW91] S. Axelrod, S. Dellapietra, and E. Witten. Geometric quantization of Chern-Simons gauge theory. J. Diff. Geometry, 33:787-902, 1991. | MR | Zbl

[Ati89] M.F. Atiyah. Topological quantum field theory. Publ. Math. Inst. Hautes Etudes Sci., 68:175-186, 1989. | MR | Zbl | Numdam | DOI

[Ati90] M. Atiyah. On framings of 3-manifolds. Topology, 29:1-7, 1990. | MR | Zbl | DOI

[Bae92] J.C. Baez. Link invariants of finite type and perturbation theory. Letters in Math.Phys., 26:43-51, 1992. | MR | Zbl

[Bar92] E. Barge, and J. Ghys. Cocycles d'Euler et de Maslov. Math. Ann., 294:235-265, 1992. | MR | Zbl

[Bea88] A Beauville. Fibres de rang 2 sur une courbe, fibre determinant et fonctions theta. Bull. Soc. Math. France, 116:431-448, 1988. | MR | Zbl | Numdam | DOI

[Bea90] A. Beauville. Fibres de rang 2 sur une courbe, fibre determinant et fonctions theta ii. Preprint, 1990. | Zbl | Numdam

[Ber78] G.M. Bergmann. The diamond lemma for ring theory. Advances in Math., 29:178-218, 1978. | MR | Zbl

[Ber93] B. Berceanu. Local homotopy of low dimensional varieties. thesis, 1993.

[BHMV92] C. Blanchet, N. Habegger, G. Masbaum, and P. Vogel. Topological quantum field theories derived from the Kauffman bracket, preprint, 1992. | Zbl

[Bir71] J. Birman. On Siegel's modular group. Math. Ann., 191:59-68, 1971. | MR | Zbl

[Bir74] J. Birman. Braids, links and mappings class groups. Princeton Univ. Press, 1974. | MR | Zbl

[Bir93] J. Birman. New points of view in knot theory. Bull. A.M.S., 28:253-287, 1993. | MR | Zbl | DOI

[Bou82] N. Bourbaki. Groupes et algebres de Lie IV, V, VI. Masson, Paris, 1982. | MR | Zbl

[BXS93] J. Birman and Lin X.-S. Knot polynomials and Vassiliev's invariants. Inventiones Math., 111:225-270, 1993. | MR | Zbl

[BZ85] G. Burde and H. Zieschang. Knots. Walter de Gruyter, 1985. | MR | Zbl

[Cra76] R. Craggs. A new proof of Reidemester-Singer theorem on stable equivalence of Heegaard splittings. Proc.A.M.S., 57:143-147, 1976. | MR | Zbl | DOI

[Cra91] L. Crane. 2-d physics and 3-d topology. Commun.Math.Phys., 135:615-640, 1991. | MR | Zbl

[Deg92] P. Degiovanni. Moore and Seiberg's equations and 3-d topological quantum field theory. Commun.Math.Phys., 145:459-505, 1992. | MR | Zbl

[Dri91] V.G. Drinfeld. On quasi-triangular quasi-Hopf algebras and a group closely connected with Gal ( Q ¯ , Q ) . Leningrad Math. J., 2:829-861, 1991. | Zbl

[DW90] R. Dijgraaf and E. Witten. Topological gauge theories and group cohomology. Commun.Math.Phys., 129:393-429, 1990. | MR | Zbl

[FQ93] D. Freed and F. Quinn. Chern-Simons theory with finite gauge group. Commun.Math.Phys., 156:435-472, 1993. | MR | Zbl

[Fre87] J. Freitag. Theta functions. Lect.Notes in Math., 1987.

[Fun91] L. Funar. Invariants for closed orientable 3-manifolds and theta functions. Preprint Orsay, 91-28, 1991.

[Fun93a] L. Funar. 2+1-D Toplogical Quantum Field Theory and 2-D Conformal Field Theory. Preprint Orsay, 93-80, 1993. | MR | Zbl

[Fun93b] L. Funar. Homogeneity of Markov traces. Preprint Orsay, 93-69, 1993.

[Fun93c] L. Funar. Invariants for 3-manifolds II: Conformal field theory and Hecke algebras. Preprint Orsay, 93-01, 1993.

[Fun93d] L. Funar. On the quotients of cubic Hecke algebras. Preprint Orsay, 93-70, 1993. | MR | Zbl

[Fun93e] L. Funar. Quantification des tores et varietes de dimension 3. C.R. Acad.Sci.Paris, 317:1179-1184, 1993. | MR | Zbl

[Fun93f] L. Funar. Representations du groupe symplectique et varietes de dimension 3. C.R.Acad.Sci.Paris, 316:1067-1072, 1993. | MR | Zbl

[Fun93g] L. Funar. Theta functions, root systems and 3-manifold invariants. Preprint Orsay, 93-54, 1993. | MR | Zbl

[Fun94a] L. Funar. Sur un quotient de l'algèbre de Hecke cubique. soumis à C.R.Acad.Sci.Paris, 1994.

[Fun94b] L. Funar. Théories quantiques du champs topologiques en dimension 3 et théories conformes du champs en dimension 2. C.R.Acad.Sci.Paris (to appear), 1994. | MR | Zbl

[GH78] P. Griffiths and J. Harris. Principles of algebraic geometry. John Wiley and Sons, 1978. | MR | Zbl

[Goc92] T. Gocho. The topological invariant of three manifolds based on the U(1) gauge theory. J.Fac.Sci.Univ.Tokyo, Sect.1A, Math., 39:169-184, 1992. | MR | Zbl

[Gro84] A. Grothendieck. Esquisse d'un programme. Preprint, 1984. | MR | Zbl

[Hem76] J. Hempel. 3-manifolds. Princeton Univ. Press, 1976. | MR | Zbl

[Hit90] N. Hitchin. Flat connections and geometric quantization. Comm.Math.Phys., 131:347-380, 1990. | MR | Zbl | DOI

[HT82] S. Hatcher and W. Thurston. A set of generators of mapping class group. Topology, 14:36-59, 1982.

[HW79] G. Hardy and E. Wright. An introduction to the theory of numbers. Oxford at the Claredon Press, 1979. | MR | Zbl

[Igu72] J.-I. Igusa. Theta functions. Springer Verlag, Band 194, 1972. | MR | Zbl

[Jef92] L. Jeffrey. Chren-Simons-Witten invariants of lens spaces and torus bundles and the semi-classical approximation. Commun.Math.Phys., 147:563-604, 1992. | MR | Zbl

[Jon87] V. Jones. Hecke algebras and a polynomial invariant for knots. Ann.of Math., 126:335-388, 1987.

[Kac83] V. Kac. Infinite dimensional Lie algebras. Progress in Math., 1983. | MR | Zbl

[Kir78] R. Kirby. A calculus for framed links in S3. Invent. Math., 45:35-56, 1978. | MR | Zbl

[Kir89] R. Kirby. Topology of 4-manifolds. Lect. Notes Math. 1374, 1989. | MR | Zbl

[KM91] R. Kirby and P. Melvin. The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl(2,C). Invent. Math., 105:473-545, 1991. | MR | Zbl

[Koh92] T. Kohno. Topological invariants of 3-manifolds using representations of mapping class group. Topology, 31:203-230, 1992. | MR | Zbl | DOI

[KT93] T. Kohno and T. Takata. Symmetry of Witten's 3-manifold invariants for sl(n,C). Journal of Knot theory and its Ramifications, 2:149-169, 1993. | MR | Zbl | DOI

[Lan70] S. Lang. Algebraic number theory. Addison-Wesley Comp., 1970. | MR | Zbl

[Loo76] E. Looijenga. Root systems and elliptic curves. Invent. Math., 38:17-32, 1976. | MR | Zbl

[LV80] G. Lion and M. Vergne. The Weil representation, Maslov indiex and theta series. Progress in Math., 1980. | MR | Zbl

[Mat72] H. Matsusaka. The theory of Q-varieties. Japan Acad. of Sciences, 1972. | Zbl

[Mey73] W. Meyer. Die Signatur von Flachenbundeln. Math. Ann., 201:239-264, 1973. | MR | Zbl

[MOO92] H. Murakami, T. Ohtsuki, and M. Okada. Invariants of three-manifolds derived from linking matrices of framed links. Osaka J. Math., 29:545-572, 1992. | MR | Zbl

[MS89] G. Moore and N. Seiberg. Classical and quantum field theory. Commun.Math.Phys., 123:177-254, 1989. | MR | Zbl

[Mum70] D. Mumford. Abelian varieties. Oxford Univ.Press, 1970. | MR | Zbl

[Mum74] D. Mumford. Geometric invariant theory. Grund.der Math., 1974. | MR | Zbl

[Mum84] D. Mumford. Tata lectures on theta I,II. Progress in Math., 1984. | MR | Zbl

[NS65] M. Narasimhan and C. Seshadri. Stable and unitary vector bundles on a compact Riemann surface. Ann.of Math., 61:540-567, 1965. | MR | Zbl

[Ocn92] A. Ocneanu. Topological invariants of 3-manifolds and von Neumann algebras. Lectures at College de France, 1992.

[RT91] N. Reshetykin and V. Turaev. Invariants of three-manifolds via link polynomials and quantum groups. Invent.Math., 103:547-597, 1991. | MR | Zbl

[Sat75] I. Satake. The theory of algebraic V-manifolds. Amer.J.Math., 73:36-59, 1975.

[Seg88] G. Segal. The definition of conformal field theory, preprint Oxford, 1988. | MR | Zbl | DOI

[Sie80] L. Siebenmann. Les bisections expliquent le theoreme de Reidemester-Singer. Preprint Orsay, 1980.

[Suz77] S. Suzuki. On homeomorphisms of 3-dimensional handle-bodies. Canadian J. Math, 1:111-124, 1977. | MR | Zbl | DOI

[TW93] V. Turaev and H. Wenzl. Quantum invariants of 3- manifolds associated with classical simple Lie algebras. International Journal of Math., 4:323-358, 1993. | MR | Zbl | DOI

[Wel83] G. Welters. Polarized abelian varieties and the heat equation. Compositio. Math., 49:173-194, 1983. | MR | Zbl | Numdam

[Wit89] E. Witten. Quantum field theory and the Jones polynomial. Commun.Math.Phys., 121:351-399, 1989. | MR | Zbl

[Wol83] S. Wolpert. On the dynamical behaviour of Teichmuller space. Ann.of Math., 96:36-59, 1983.