@incollection{SB_1995-1996__38__313_0, author = {Connes, Alain}, title = {Brisure de sym\'etrie spontan\'ee et g\'eom\'etrie du point de vue spectral}, booktitle = {S\'eminaire Bourbaki : volume 1995/96, expos\'es 805-819}, series = {Ast\'erisque}, note = {talk:816}, pages = {313--349}, publisher = {Soci\'et\'e math\'ematique de France}, number = {241}, year = {1997}, mrnumber = {1472544}, zbl = {0942.46044}, language = {fr}, url = {http://www.numdam.org/item/SB_1995-1996__38__313_0/} }
TY - CHAP AU - Connes, Alain TI - Brisure de symétrie spontanée et géométrie du point de vue spectral BT - Séminaire Bourbaki : volume 1995/96, exposés 805-819 AU - Collectif T3 - Astérisque N1 - talk:816 PY - 1997 SP - 313 EP - 349 IS - 241 PB - Société mathématique de France UR - http://www.numdam.org/item/SB_1995-1996__38__313_0/ LA - fr ID - SB_1995-1996__38__313_0 ER -
%0 Book Section %A Connes, Alain %T Brisure de symétrie spontanée et géométrie du point de vue spectral %B Séminaire Bourbaki : volume 1995/96, exposés 805-819 %A Collectif %S Astérisque %Z talk:816 %D 1997 %P 313-349 %N 241 %I Société mathématique de France %U http://www.numdam.org/item/SB_1995-1996__38__313_0/ %G fr %F SB_1995-1996__38__313_0
Connes, Alain. Brisure de symétrie spontanée et géométrie du point de vue spectral, in Séminaire Bourbaki : volume 1995/96, exposés 805-819, Astérisque, no. 241 (1997), Talk no. 816, 37 p. http://www.numdam.org/item/SB_1995-1996__38__313_0/
[At] -theory and reality, Quart. J. Math. Oxford (2), 17 (1966), 367-386. | DOI | MR | Zbl
-[B-G] Calculus on Heisenberg manifolds, Annals of Math. Studies 119, Princeton Univ. Press, Princeton, N.J., 1988. | MR | Zbl
and -[B] An anomaly associated with -dimensional quantum gravity, to appear in C.M.P. | MR | Zbl
-[B-O] Explicit functional determinants in four dimensions, Proc. Amer. Math. Soc. 113 (1991), 669-682. | DOI | MR | Zbl
and -[B-W] Non standard measure theory, in Applications of model theory to algebra analysis and probability, Edited by W.A.J. Luxenburg Halt, Rinehart and Winstin (1969). | MR | Zbl
and -[C-J-G] The gravitational sector in the Connes-Lott formulation of the Standard model, J. Math. Phys. 36, n° 11 (1995). | DOI | MR | Zbl
, and -[C-C] The spectral action principle, to appear. | DOI | MR | Zbl
and -[Co] Noncommutative geometry, Academic Press (1994). | MR | Zbl
-[Co1] Cyclic cohomology and the transverse fundamental class of a foliation, Geometric methods in operator algebras, (Kyoto, 1983), pp. 52-144, Pitman Res. Notes in Math. 123, Longman, Harlow (1986). | MR | Zbl
-[Co2] Noncommutative geometry and reality, Journal of Math. Physics 36, n° 11 (1995). | DOI | MR | Zbl
-[Co3] Gravity coupled with matter and the foundation of noncommutative geometry, to appear in C.M.P. | MR | Zbl
-[Co-L] Particle models and noncommutative geometry, Nuclear Phys. B. 18B (1990), suppl. 29-47 (1991). | MR | Zbl
and -[C-M1] Cyclic cohomology, the Novikov conjecture and hyperbolic groups, Topology 29 (1990), 345-388. | DOI | MR | Zbl
and -[C-M2] The local index formula in noncommutative geometry, GAFA 5 (1995), 174-243. | EuDML | MR | Zbl
and -[C-M3] Hypoelliptic Dirac operator, diffeomorphisms and the transverse fundamental class.
and -[Co-S] The longitudinal index theorem for foliations, Publ. Res. Inst. Math. Sci. Kyoto 20 (1984), 1139-1183. | DOI | MR | Zbl
and -[C-S-T] Quasiconformal mappings, operators on Hilbert space, and local formulae for characteristic classes, Topology, Vol. 33, n° 4 (1994), 663-681. | DOI | MR | Zbl
, and -[D-T] Strong field tests of relativistic gravity and binary pulsars, Physical Review D, Vol. 45, n° 6 (1992), 1840-1868. | DOI
and -[Dx] Existence de traces non normales, C.R. Acad. Sci. Paris, Ser. A-B 262 (1966). | MR | Zbl
-[D-F-R] Quantum structure of space time at the Planck scale and Quantum fields, to appear in CMP. | MR | Zbl
, and -[F] The noncommutative geometry of two dimensional supersymmetric conformal field theory, Preprint ETH (1994).
-[G-F] Conformal Field theory and Geometry of Strings, CRM Proceedings and Lecture Notes, Vol. 7 (1994), 57-97. | DOI | MR | Zbl
and -[Gh] L'invariant de Godbillon-Vey, Sém. Bourbaki 1988/89, exposé 706, Astérisque 177-178, S.M.F. (1989), 155-181. | EuDML | Numdam | MR | Zbl
-[Gi] Invariance theory, the heat equation and the Atiyah-Singer index theorem, Math. Lecture Ser. 11, Publish or Perish, Wilmington, Del., 1984. | MR | Zbl
-[G] Carnot-Caratheodory spaces seen from within, Preprint IHES/ M/94/6. | DOI | MR | Zbl
-[G-K-P] On finite -dimensional quantum field theory in noncommutative geometry, CERN Preprint TH/96 - 51 Net Hepth/9602115. | MR | Zbl
, and -[H-S] Morphismes -orientés d'espaces de feuilles et fonctorialité en théorie de Kasparov, Ann. Sci. Ecole Norm. Sup. (4) 20 (1987), 325-390. | DOI | EuDML | Numdam | MR | Zbl
, -[I-K-S] Fuzzy mass relations for the Higgs, J.Math. Phys. 36, n° 11 (1995). | DOI | MR | Zbl
, and -[K-W] Gravity, noncommutative geometry and the Wodzicki residue, J. of Geom. and Phys. 16 (1995), 327-344. | DOI | MR | Zbl
and -[K] The operator -functor and extensions of -algebras, Izv. Akad. Nauk. SSSR Ser. Mat. 44 (1980), 571-636. | MR | Zbl
-[Ka] Le résidu non commutatif, Sém. Bourbaki 1988/89, exposé 708, Astérisque 177-178, S.M.F. (1989), 199-229. | EuDML | Numdam | MR | Zbl
-[Kas] The Dirac operator and gravitation, Commun. Math. Phys. 166 (1995), 633-643. | DOI | MR | Zbl
-[Ki] Stable homeomorphisms and the annulus conjecture, Ann. Math. 89 (1969), 575-582. | DOI | MR | Zbl
-[L-M] Spin Geometry, Princeton 1989. | MR | Zbl
and -[M] Quantum groups and noncommutative geometry, Centre Recherche Math. Univ. Montréal (1988). | MR | Zbl
-[Mi-S] Characteristic classes, Ann. of Math. Stud. 76 Princeton University Press, Princeton, N.J. (1974). | MR | Zbl
and -[P] Hankel operators on Hilbert space, Res. Notes in Math. 64, Pitman, Boston, Mass. (1982). | MR | Zbl
-[Ri1] Morita equivalence for -algebras and -algebras, J. Pure Appl. Algebra 5 (1974), 51-96. | DOI | MR | Zbl
-[Ri2] -algebras associated with irrational rotations, Pacific J. Math. 93 (1981), 415-429 ; MR 83b:46087. | DOI | MR | Zbl
-[R] Mathematical Werke, Dover, New York (1953). | MR
-[St] Singular integrals and differentiability properties of functions, Princeton Univ. Press, Princeton, N.J. (1970). | MR | Zbl
-[Ste] Le problème de la mesure, Sém. Bourbaki 1983/84, exposé 632, Astérisque 121-122 (1985), 325-346. | EuDML | Numdam | MR | Zbl
-[S1] Hyperbolic geometry and homeomorphisms in Geometric Topology, Proceed. Georgia Topology Conf. Athens, Georgia (1977), 543-555. | MR | Zbl
-[S2] Geometric periodicity and the invariants of manifolds, Lecture Notes in Math. 197, Springer (1971). | MR | Zbl
-[Ta] Tomita's theory of modular Hilbert algebras and its applications, Lecture Notes in Math. 128, Springer (1970). | MR | Zbl
-[W] Gravitation and Cosmology, John Wiley and Sons, New York London (1972).
-[Wo] Noncommutative residue, Part I. Fundamentals K-theory, arithmetic and geometry, Lecture Notes in Math., 1289, Springer-Berlin (1987). | MR | Zbl
-