Connes, Alain (ed.); Nest, Ryszard (ed.); Nikolaus, Thomas (ed.); Yu, Guoliang (ed.) Non-commutative geometry and cyclic homology. Abstracts from the workshop held July 31 – August 6, 2022. (English) Zbl 1520.00025 Oberwolfach Rep. 19, No. 3, 1987-2058 (2022). MSC: 00B05 00B25 46-06 46L87 58B34 14A22 19D55 81T75 PDFBibTeX XMLCite \textit{A. Connes} (ed.) et al., Oberwolfach Rep. 19, No. 3, 1987--2058 (2022; Zbl 1520.00025) Full Text: DOI
Connes, Alain Noncommutative geometry, the spectral standpoint. (English) Zbl 1524.58003 Anel, Mathieu (ed.) et al., New spaces in physics. Formal and conceptual reflections. Cambridge: Cambridge University Press. 23-84 (2021). MSC: 58B34 81T75 81R60 46L87 PDFBibTeX XMLCite \textit{A. Connes}, in: New spaces in physics. Formal and conceptual reflections. Cambridge: Cambridge University Press. 23--84 (2021; Zbl 1524.58003) Full Text: DOI arXiv Link
Connes, Alain (ed.); Nest, Ryszard (ed.); Nikolaus, Thomas (ed.); Yu, Guoliang (ed.) Non-commutative geometry and cyclic homology. Abstracts from the workshop held June 28 – July 4, 2020 (hybrid meeting). (English) Zbl 1469.00026 Oberwolfach Rep. 17, No. 2-3, 919-960 (2020). MSC: 00B05 00B25 19-06 58-06 46-06 81-06 19K56 46L80 58B34 58J20 81T75 81R60 PDFBibTeX XMLCite \textit{A. Connes} (ed.) et al., Oberwolfach Rep. 17, No. 2--3, 919--960 (2020; Zbl 1469.00026) Full Text: DOI
Connes, Alain (ed.); Nest, Ryszard (ed.); Schick, Thomas (ed.); Yu, Guoliang (ed.) Non-commutative geometry, index theory and mathematical physics. Abstracts from the workshop held July 8–14, 2018. (English) Zbl 1425.00097 Oberwolfach Rep. 15, No. 3, 1911-1981 (2018). MSC: 00B05 00B25 58B34 81T75 19K56 58J20 58-06 PDFBibTeX XMLCite \textit{A. Connes} (ed.) et al., Oberwolfach Rep. 15, No. 3, 1911--1981 (2018; Zbl 1425.00097) Full Text: DOI
Connes, Alain Geometry and the quantum. (English) Zbl 1411.58003 Kouneiher, Joseph (ed.), Foundations of mathematics and physics one century after Hilbert. New perspectives. Cham: Springer. 159-196 (2018). Reviewer: Akira Asada (Takarazuka) MSC: 58B34 81T75 81R60 83E99 83C65 57M99 PDFBibTeX XMLCite \textit{A. Connes}, in: Foundations of mathematics and physics one century after Hilbert. New perspectives. Cham: Springer. 159--196 (2018; Zbl 1411.58003) Full Text: DOI arXiv
Chamseddine, Ali H.; Connes, Alain; van Suijlekom, Walter D. Grand unification in the spectral Pati-Salam model. (English) Zbl 1388.81965 J. High Energy Phys. 2015, No. 11, Paper No. 11, 13 p. (2015). MSC: 81V35 PDFBibTeX XMLCite \textit{A. H. Chamseddine} et al., J. High Energy Phys. 2015, No. 11, Paper No. 11, 13 p. (2015; Zbl 1388.81965) Full Text: DOI arXiv
Chamseddine, Ali H.; Connes, Alain; Mukhanov, Viatcheslav Geometry and the quantum: basics. (English) Zbl 1333.81414 J. High Energy Phys. 2014, No. 12, Paper No. 098, 24 p. (2014). MSC: 81T75 81T70 PDFBibTeX XMLCite \textit{A. H. Chamseddine} et al., J. High Energy Phys. 2014, No. 12, Paper No. 098, 24 p. (2014; Zbl 1333.81414) Full Text: DOI arXiv
Connes, Alain; Moscovici, Henri Modular curvature for noncommutative two-tori. (English) Zbl 1332.46070 J. Am. Math. Soc. 27, No. 3, 639-684 (2014). Reviewer: Stefan Wagner (Hamburg) MSC: 46L87 58B34 81R60 PDFBibTeX XMLCite \textit{A. Connes} and \textit{H. Moscovici}, J. Am. Math. Soc. 27, No. 3, 639--684 (2014; Zbl 1332.46070) Full Text: DOI arXiv
Chamseddine, Ali H.; Connes, Alain; van Suijlekom, Walter D. Beyond the spectral standard model: emergence of Pati-Salam unification. (English) Zbl 1410.81032 J. High Energy Phys. 2013, No. 11, Paper No. 132, 36 p. (2013). MSC: 81T75 81R60 58B34 PDFBibTeX XMLCite \textit{A. H. Chamseddine} et al., J. High Energy Phys. 2013, No. 11, Paper No. 132, 36 p. (2013; Zbl 1410.81032) Full Text: DOI arXiv
Chamseddine, Ali H.; Connes, Alain Spectral action for Robertson-Walker metrics. (English) Zbl 1397.81413 J. High Energy Phys. 2012, No. 10, Paper No. 101, 30 p. (2012). MSC: 81T75 PDFBibTeX XMLCite \textit{A. H. Chamseddine} and \textit{A. Connes}, J. High Energy Phys. 2012, No. 10, Paper No. 101, 30 p. (2012; Zbl 1397.81413) Full Text: DOI arXiv
Chamseddine, Ali H.; Connes, Alain Resilience of the spectral standard model. (English) Zbl 1397.81412 J. High Energy Phys. 2012, No. 9, Paper No. 104, 11 p. (2012). MSC: 81T75 PDFBibTeX XMLCite \textit{A. H. Chamseddine} and \textit{A. Connes}, J. High Energy Phys. 2012, No. 9, Paper No. 104, 11 p. (2012; Zbl 1397.81412) Full Text: DOI arXiv
Chamseddine, Ali H.; Connes, Alain Noncommutative geometry as a framework for unification of all fundamental interactions including gravity. I. (English) Zbl 1206.81130 Fortschr. Phys. 58, No. 6, 553-600 (2010). Reviewer: Xin Tang (Fayetteville) MSC: 81V22 83C65 83C45 81V17 81R60 PDFBibTeX XMLCite \textit{A. H. Chamseddine} and \textit{A. Connes}, Fortschr. Phys. 58, No. 6, 553--600 (2010; Zbl 1206.81130) Full Text: DOI arXiv
Connes, Alain (ed.); Cuntz, Joachim (ed.); Rieffel, Marc A. (ed.) Noncommutative geometry. Abstracts from the workshop held September 6th – September 12th, 2009. (English) Zbl 1192.00057 Oberwolfach Rep. 6, No. 3, 2271-2334 (2009). MSC: 00B05 46-06 81-06 46Lxx 81Txx PDFBibTeX XMLCite \textit{A. Connes} (ed.) et al., Oberwolfach Rep. 6, No. 3, 2271--2334 (2009; Zbl 1192.00057) Full Text: DOI
Connes, Alain (ed.); Fauvet, Frédéric (ed.); Ramis, Jean-Pierre (ed.) Renormalization and Galois theories. Selected papers of the CIRM workshop, Luminy, France, March 2006. (English) Zbl 1173.14003 IRMA Lectures in Mathematics and Theoretical Physics 15. Zürich: European Mathematical Society (ISBN 978-3-03719-073-9/pbk). viii, 270 p. (2009). MSC: 14-06 81-06 12-06 00B25 81T15 81T75 14A22 14F42 12F10 PDFBibTeX XMLCite \textit{A. Connes} (ed.) et al., Renormalization and Galois theories. Selected papers of the CIRM workshop, Luminy, France, March 2006. Zürich: European Mathematical Society (2009; Zbl 1173.14003) Full Text: DOI
Connes, Alain; Marcolli, Matilde Noncommutative geometry, quantum fields and motives. (English) Zbl 1159.58004 Texts and Readings in Mathematics 47. New Delhi: Hindustan Book Agency (ISBN 978-81-85931-80-7). xxii, 785 p. (2008). MSC: 58B34 58-02 11-02 81-02 11G35 PDFBibTeX XMLCite \textit{A. Connes} and \textit{M. Marcolli}, Noncommutative geometry, quantum fields and motives. New Delhi: Hindustan Book Agency (2008; Zbl 1159.58004)
Connes, Alain; Marcolli, Matilde A walk in the noncommutative garden. (English) Zbl 1145.14005 Khalkhali, Masoud (ed.) et al., An invitation to noncommutative geometry. Lectures of the international workshop on noncommutative geometry, Tehran, Iran, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-270-616-4/hbk; 978-981-270-779-6/pbk). 1-128 (2008). Reviewer: Arvid Siqveland (Kongsberg) MSC: 14A22 58B34 81T17 PDFBibTeX XMLCite \textit{A. Connes} and \textit{M. Marcolli}, in: An invitation to noncommutative geometry. Lectures of the international workshop on noncommutative geometry, Tehran, Iran, 2005. Hackensack, NJ: World Scientific. 1--128 (2008; Zbl 1145.14005) Full Text: arXiv
Chamseddine, Ali H.; Connes, Alain Why the standard model. (English) Zbl 1140.81021 J. Geom. Phys. 58, No. 1, 38-47 (2008). Reviewer: Akira Asada (Takarazuka) MSC: 81V22 58B34 81T75 81T10 81T13 PDFBibTeX XMLCite \textit{A. H. Chamseddine} and \textit{A. Connes}, J. Geom. Phys. 58, No. 1, 38--47 (2008; Zbl 1140.81021) Full Text: DOI arXiv
Connes, Alain; Marcolli, Matilde Noncommutative geometry, quantum fields and motives. (English) Zbl 1209.58007 Colloquium Publications. American Mathematical Society 55. Providence, RI: American Mathematical Society (AMS)/Hindustan Book Agency (ISBN 978-0-8218-4210-2/hbk). xxii, 785 p. (2008). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 58B34 58-02 11-02 81-02 11G35 PDFBibTeX XMLCite \textit{A. Connes} and \textit{M. Marcolli}, Noncommutative geometry, quantum fields and motives. Providence, RI: American Mathematical Society (AMS)/Hindustan Book Agency (2008; Zbl 1209.58007)
Chamseddine, Ali H.; Connes, Alain Quantum gravity boundary terms from the spectral action of noncommutative space. (English) Zbl 1228.83080 Phys. Rev. Lett. 99, No. 7, Article ID 071302, 4 p. (2007). MSC: 83C65 58J42 81V17 81V22 PDFBibTeX XMLCite \textit{A. H. Chamseddine} and \textit{A. Connes}, Phys. Rev. Lett. 99, No. 7, Article ID 071302, 4 p. (2007; Zbl 1228.83080) Full Text: DOI arXiv
Chamseddine, Ali H.; Connes, Alain Conceptual explanation for the algebra in the noncommutative approach to the standard model. (English) Zbl 1228.81190 Phys. Rev. Lett. 99, No. 19, Article ID 191601, 4 p. (2007). MSC: 81R60 58B34 81T75 81V22 PDFBibTeX XMLCite \textit{A. H. Chamseddine} and \textit{A. Connes}, Phys. Rev. Lett. 99, No. 19, Article ID 191601, 4 p. (2007; Zbl 1228.81190) Full Text: DOI arXiv
Connes, Alain (ed.); Cuntz, Joachim (ed.); Rieffel, Marc A. (ed.) Noncommutative geometry. Abstracts from the workshop held September 2–8, 2007. (English) Zbl 1177.58003 Oberwolfach Rep. 4, No. 4, 2543-2608 (2007). MSC: 58-06 58B34 46Lxx 19-06 81R60 81T75 00B05 PDFBibTeX XMLCite \textit{A. Connes} (ed.) et al., Oberwolfach Rep. 4, No. 4, 2543--2608 (2007; Zbl 1177.58003) Full Text: DOI Link
Connes, Alain; Dubois-Violette, Michel Yang-Mills and some related algebras. (English) Zbl 1177.58009 Boutet de Monvel, Anne (ed.) et al., Rigorous quantum field theory. A Festschrift for Jacques Bros. Basel: Birkhäuser (ISBN 3-7643-7433-0/hbk). Progress in Mathematics 251, 65-78 (2007). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 58B34 53C07 16S37 16E65 81T13 PDFBibTeX XMLCite \textit{A. Connes} and \textit{M. Dubois-Violette}, Prog. Math. 251, 65--78 (2007; Zbl 1177.58009) Full Text: arXiv
Chamseddine, Ali H.; Connes, Alain; Marcolli, Matilde Gravity and the standard model with neutrino mixing. (English) Zbl 1140.81022 Adv. Theor. Math. Phys. 11, No. 6, 991-1089 (2007). Reviewer: Paninjukunnath Achuthan (Madras) MSC: 81V22 81V17 83C65 PDFBibTeX XMLCite \textit{A. H. Chamseddine} et al., Adv. Theor. Math. Phys. 11, No. 6, 991--1089 (2007; Zbl 1140.81022) Full Text: DOI arXiv Euclid
Connes, Alain Non-commutative geometry and the spectral model of space-time. (English) Zbl 1135.81020 Duplantier, Bertrand (ed.) et al., Quantum spaces. Poincaré Seminar 2007. Papers of the seminar, Paris, France, April 30, 2007. Basel: Birkhäuser (ISBN 978-3-7643-8521-7/hbk). Progress in Mathematical Physics 53, 203-227 (2007). Reviewer: Alexander V. Gemintern (Haifa) MSC: 81R60 83C65 PDFBibTeX XMLCite \textit{A. Connes}, Prog. Math. Phys. 53, 203--227 (2007; Zbl 1135.81020)
Connes, Alain; Consani, Caterina; Marcolli, Matilde Noncommutative geometry and motives: the thermodynamics of endomotives. (English) Zbl 1125.14001 Adv. Math. 214, No. 2, 761-831 (2007). Reviewer: Werner Kleinert (Berlin) MSC: 14A22 14G10 14C35 14C25 14G25 14F43 11G40 81T15 PDFBibTeX XMLCite \textit{A. Connes} et al., Adv. Math. 214, No. 2, 761--831 (2007; Zbl 1125.14001) Full Text: DOI arXiv Link
Connes, Alain; Marcolli, Matilde Renormalization, the Riemann-Hilbert correspondence, and motivic Galois theory. (English) Zbl 1200.81113 Cartier, Pierre (ed.) et al., Frontiers in number theory, physics, and geometry II. On conformal field theories, discrete groups and renormalization. Papers from the meeting, Les Houches, France, March 9–21, 2003. Berlin: Springer (ISBN 978-3-540-30307-7/hbk). 617-713 (2007). MSC: 81T15 14L15 16T05 81Q30 81T18 PDFBibTeX XMLCite \textit{A. Connes} and \textit{M. Marcolli}, in: Frontiers in number theory, physics, and geometry II. On conformal field theories, discrete groups and renormalization. Papers from the meeting, Les Houches, France, March 9--21, 2003. Berlin: Springer. 617--713 (2007; Zbl 1200.81113) Full Text: DOI
Connes, Alain; Marcolli, Matilde From physics to number theory via noncommutative geometry. 2nd printing. (English) Zbl 1126.58006 Cartier, Pierre (ed.) et al., Frontiers in number theory, physics, and geometry I. On random matrices, zeta functions, and dynamical systems. Papers from the meeting, Les Houches, France, March 9–21, 2003. Berlin: Springer (ISBN 978-3-540-23189-9/hbk). 269-347 (2006). Reviewer: Akira Asada (Takarazuka) MSC: 58B34 82C10 81R60 46L89 14Gxx 11M55 PDFBibTeX XMLCite \textit{A. Connes} and \textit{M. Marcolli}, in: Frontiers in number theory, physics, and geometry I. On random matrices, zeta functions, and dynamical systems. Papers from the meeting, Les Houches, France, March 9--21, 2003. Berlin: Springer. 269--347 (2006; Zbl 1126.58006)
Chamseddine, Ali H.; Connes, Alain Scale invariance in the spectral action. (English) Zbl 1112.83036 J. Math. Phys. 47, No. 6, 063504, 19 p. (2006). MSC: 83C65 58J42 81T75 81V22 83E15 PDFBibTeX XMLCite \textit{A. H. Chamseddine} and \textit{A. Connes}, J. Math. Phys. 47, No. 6, 063504, 19 p. (2006; Zbl 1112.83036) Full Text: DOI arXiv
Connes, Alain; Chamseddine, Ali H. Inner fluctuations of the spectral action. (English) Zbl 1105.58004 J. Geom. Phys. 57, No. 1, 1-21 (2006). MSC: 58B34 81T13 81R60 81Q10 81R12 PDFBibTeX XMLCite \textit{A. Connes} and \textit{A. H. Chamseddine}, J. Geom. Phys. 57, No. 1, 1--21 (2006; Zbl 1105.58004) Full Text: DOI arXiv
Connes, Alain; Marcolli, Matilde Quantum fields and motives. (English) Zbl 1092.81050 J. Geom. Phys. 56, No. 1, 55-85 (2006). Reviewer: Jan Hamhalter (Praha) MSC: 81T15 81T16 11S20 PDFBibTeX XMLCite \textit{A. Connes} and \textit{M. Marcolli}, J. Geom. Phys. 56, No. 1, 55--85 (2006; Zbl 1092.81050) Full Text: DOI arXiv Link
Connes, Alain; Moscovici, Henri Background independent geometry and Hopf cyclic cohomology. arXiv:math/0505475 Preprint, arXiv:math/0505475 [math.QA] (2005). MSC: 81R60 81R10 83C45 BibTeX Cite \textit{A. Connes} and \textit{H. Moscovici}, ``Background independent geometry and Hopf cyclic cohomology'', Preprint, arXiv:math/0505475 [math.QA] (2005) Full Text: arXiv
Connes, Alain Renormalization and Galois ambiguity. (Renormalisation et ambiguïté galoisienne.) (French) Zbl 1072.81045 Loday-Richaud, Michèle (ed.), Complex analysis, dynamical systems, summability of divergent series and Galois theories. I. Volume in honor of Jean-Pierre Ramis. Proceedings of the conference, Toulouse, France, September 22–26, 2003 held on the occasion of J.-P. Ramis’ 60th birthday. Paris: Société Mathématique de France (ISBN 2-85629-167-8/pbk). Astérisque 296, 113-143 (2004). MSC: 81T15 11R32 16W30 34M50 58B34 81T18 PDFBibTeX XMLCite \textit{A. Connes}, Astérisque 296, 113--143 (2004; Zbl 1072.81045)
Connes, Alain (ed.); Cuntz, Joachim (ed.); Rieffel, Marc A. (ed.) Noncommutative geometry. (Nichtkommutative Geometrie.) (English) Zbl 1078.46500 Oberwolfach Rep. 1, No. 4, Report 45, 2349-2418 (2004). MSC: 46-06 19-06 81-06 00B05 PDFBibTeX XMLCite \textit{A. Connes} (ed.) et al., Oberwolfach Rep. 1, No. 4, Report 45, 2349--2418 (2004; Zbl 1078.46500) Full Text: DOI Link
Connes, Alain; Marcolli, Matilde Renormalization and motivic Galois theory. (English) Zbl 1131.81021 Int. Math. Res. Not. 2004, No. 76, 4073-4091 (2004). Reviewer: Tomasz Brzeziński (Swansea) MSC: 81T15 14L15 16W30 34M50 PDFBibTeX XMLCite \textit{A. Connes} and \textit{M. Marcolli}, Int. Math. Res. Not. 2004, No. 76, 4073--4091 (2004; Zbl 1131.81021) Full Text: DOI arXiv
Connes, Alain Galois symmetries and renormalization. (Symétries galoisiennes et renormalisation.) (French) Zbl 1050.81052 Duplantier, Bertrand (ed.) et al., Poincaré seminar 2002. Vacuum energy – renormalization. Basel: Birkhäuser (ISBN 3-7643-0527-4/pbk). 241-264 (2003). Reviewer: Akira Asada (Takarazuka) MSC: 81T17 81T75 81R60 11R37 16W30 81-02 22E70 81T18 11R32 PDFBibTeX XMLCite \textit{A. Connes}, in: Poincaré seminar 2002. Vacuum energy -- renormalization. Basel: Birkhäuser. 241--264 (2003; Zbl 1050.81052)
Connes, A.; Kreimer, D. Insertion and elimination: The doubly infinite Lie algebra of Feynman graphs. (English) Zbl 1033.81061 Ann. Henri Poincaré 3, No. 3, 411-433 (2002). Reviewer: Antun Milas (Tucson) MSC: 81T18 81T15 81T05 16W30 17B81 81Q30 PDFBibTeX XMLCite \textit{A. Connes} and \textit{D. Kreimer}, Ann. Henri Poincaré 3, No. 3, 411--433 (2002; Zbl 1033.81061) Full Text: DOI arXiv
Connes, Alain; Dubois-Violette, Michel Yang-Mills algebra. (English) Zbl 1028.53025 Lett. Math. Phys. 61, No. 2, 149-158 (2002). Reviewer: Maido Rahula (Tartu) MSC: 53C07 16S37 58B34 16E65 81R60 PDFBibTeX XMLCite \textit{A. Connes} and \textit{M. Dubois-Violette}, Lett. Math. Phys. 61, No. 2, 149--158 (2002; Zbl 1028.53025) Full Text: DOI arXiv
Connes, Alain Symetries Galoisiennes et Renormalisation. arXiv:math/0211199 Preprint, arXiv:math/0211199 [math.QA] (2002). MSC: 81R50 19K33 46Lxx 58B34 BibTeX Cite \textit{A. Connes}, ``Symetries Galoisiennes et Renormalisation'', Preprint, arXiv:math/0211199 [math.QA] (2002) Full Text: arXiv
Connes, A.; Kreimer, D. From local perturbation theory to Hopf- and Lie-algebras of Feynman graphs. (English) Zbl 1015.81042 Longo, Roberto (ed.), Mathematical physics in mathematics and physics. Quantum and operator algebraic aspects. Proceedings of a conference, Siena, Italy, June 20-24, 2000. Dedicated to Sergio Doplicher and John E. Roberts on the occasion of their 60th birthday. Providence, RI: AMS, American Mathematical Society. Fields Inst. Commun. 30, 105-114 (2001). MSC: 81T18 81T15 81T17 16W30 17B62 81R50 PDFBibTeX XMLCite \textit{A. Connes} and \textit{D. Kreimer}, Fields Inst. Commun. 30, 105--114 (2001; Zbl 1015.81042)
Connes, Alain; Landi, Giovanni Noncommutative manifolds, the instanton algebra and isospectral deformations. (English) Zbl 0997.81045 Commun. Math. Phys. 221, No. 1, 141-159 (2001). Reviewer: Guihua Gong (San Juan) MSC: 81R60 58B34 57R99 58J42 81T75 PDFBibTeX XMLCite \textit{A. Connes} and \textit{G. Landi}, Commun. Math. Phys. 221, No. 1, 141--159 (2001; Zbl 0997.81045) Full Text: DOI arXiv
Connes, Alain; Kreimer, Dirk From local perturbation theory to Hopf and Lie algebras of Feynman graphs. (English) Zbl 0995.81077 Lett. Math. Phys. 56, No. 1, 3-15 (2001). Reviewer: B.Fauser (Tübingen) MSC: 81T18 81Q30 17B37 81T15 81T17 81-02 PDFBibTeX XMLCite \textit{A. Connes} and \textit{D. Kreimer}, Lett. Math. Phys. 56, No. 1, 3--15 (2001; Zbl 0995.81077) Full Text: DOI
Connes, Alain; Kreimer, Dirk Renormalization in quantum field theory and the Riemann-Hilbert problem. II: The \(\beta\)-function, diffeomorphisms and the renormalization group. (English) Zbl 1042.81059 Commun. Math. Phys. 216, No. 1, 215-241 (2001). MSC: 81T15 34M50 81T18 16W30 PDFBibTeX XMLCite \textit{A. Connes} and \textit{D. Kreimer}, Commun. Math. Phys. 216, No. 1, 215--241 (2001; Zbl 1042.81059) Full Text: DOI arXiv
Connes, Alain Noncommutative geometry year 2000. Special volume of the journal Geometric and Functional Analysis. (English) Zbl 0985.58003 Alon, N. (ed.) et al., GAFA 2000. Visions in mathematics–Towards 2000. Proceedings of a meeting, Tel Aviv, Israel, August 25-September 3, 1999. Part II. Basel: Birkhäuser, 481-559 (2000). Reviewer: Akira Asada (Takarazuka) MSC: 58B34 81T75 46L87 81-02 58-02 46-02 46L89 46L80 19K56 19M05 19K33 PDFBibTeX XMLCite \textit{A. Connes}, in: GAFA 2000. Visions in mathematics---Towards 2000. Proceedings of a meeting, Tel Aviv, Israel, August 25--September 3, 1999. Part II. Basel: Birkhäuser. 481--559 (2000; Zbl 0985.58003)
Connes, Alain A short survey of noncommutative geometry. (English) Zbl 0974.58008 J. Math. Phys. 41, No. 6, 3832-3866 (2000). MSC: 58B34 58J42 46L99 81T18 81T75 PDFBibTeX XMLCite \textit{A. Connes}, J. Math. Phys. 41, No. 6, 3832--3866 (2000; Zbl 0974.58008) Full Text: DOI arXiv
Connes, Alain; Moscovici, Henri Cyclic cohomology and Hopf algebra symmetry. (English) Zbl 0970.58005 Dito, Giuseppe (ed.) et al., Conférence Moshé Flato 1999: Quantization, deformation, and symmetries, Dijon, France, September 5-8, 1999. Volume I. Dordrecht: Kluwer Academic Publishers. Math. Phys. Stud. 21, 121-147 (2000). Reviewer: Akira Asada (Takarazuka) MSC: 58B34 46L87 58B32 81R60 16W30 PDFBibTeX XMLCite \textit{A. Connes} and \textit{H. Moscovici}, Math. Phys. Stud. 21, 121--147 (2000; Zbl 0970.58005)
Connes, Alain; Moscovici, Henri Cyclic cohomology and Hopf algebra symmetry. (English) Zbl 0974.58006 Lett. Math. Phys. 52, No. 1, 1-28 (2000). Reviewer: Karl-Hermann Neeb (Darmstadt) MSC: 58B34 58B32 81R50 46L87 PDFBibTeX XMLCite \textit{A. Connes} and \textit{H. Moscovici}, Lett. Math. Phys. 52, No. 1, 1--28 (2000; Zbl 0974.58006) Full Text: DOI arXiv
Connes, Alain Noncommutative geometry and the Riemann zeta function. (English) Zbl 0960.11042 Arnold, V. (ed.) et al., Mathematics: frontiers and perspectives. Providence, RI: American Mathematical Society (AMS). 35-54 (2000). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 11M26 11-02 11-03 46L87 11R37 81R40 11S31 11M06 11M36 58B34 14G10 58J50 PDFBibTeX XMLCite \textit{A. Connes}, in: Mathematics: frontiers and perspectives. Providence, RI: American Mathematical Society (AMS). 35--54 (2000; Zbl 0960.11042)
Connes, Alain; Kreimer, Dirk Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem. (English) Zbl 1032.81026 Commun. Math. Phys. 210, No. 1, 249-273 (2000). MSC: 81T18 16W30 46N50 81R50 22E70 PDFBibTeX XMLCite \textit{A. Connes} and \textit{D. Kreimer}, Commun. Math. Phys. 210, No. 1, 249--273 (2000; Zbl 1032.81026) Full Text: DOI arXiv
Connes, A.; Kreimer, D. Hopf algebras, renormalization and noncommutative geometry. (English) Zbl 1041.81086 DeWitt-Morette, Cécile (ed.) et al., Quantum field theory: perspective and prospective. Proceedings of the NATO ASI, held in Les Houches, France, June 15–26, 1998. Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-5672-1). NATO ASI Ser., Ser. C, Math. Phys. Sci. 530, 59-108 (1999). Reviewer: Akira Asada (Takarazuka) MSC: 81T15 81T75 16W30 58B34 PDFBibTeX XMLCite \textit{A. Connes} and \textit{D. Kreimer}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 530, 59--108 (1999; Zbl 1041.81086)
Connes, Alain; Kreimer, Dirk Renormalization in quantum field theory and the Riemann-Hilbert problem. (English) Zbl 0957.81011 J. High Energy Phys. 1999, No. 9, Paper No. 24, 8 p. (1999). MSC: 81T17 35Q15 PDFBibTeX XMLCite \textit{A. Connes} and \textit{D. Kreimer}, J. High Energy Phys. 1999, No. 9, Paper No. 24, 8 p. (1999; Zbl 0957.81011) Full Text: DOI arXiv
Connes, Alain; Kreimer, Dirk Lessons from quantum field theory: Hopf algebras and spacetime geometries. (English) Zbl 0965.81046 Lett. Math. Phys. 48, No. 1, 85-96 (1999). Reviewer: B.Fauser (Tübingen) MSC: 81T15 16W30 81-02 46L87 58B34 81T18 PDFBibTeX XMLCite \textit{A. Connes} and \textit{D. Kreimer}, Lett. Math. Phys. 48, No. 1, 85--96 (1999; Zbl 0965.81046) Full Text: DOI arXiv
Connes, Alain; Douglas, Michael R.; Schwarz, Albert Noncommutative geometry and matrix theory: Compactification on tori. (English) Zbl 1018.81052 J. High Energy Phys. 1998, No. 2, Paper No. 3, 35 p. (1998). MSC: 81T75 81T30 46L87 58B34 PDFBibTeX XMLCite \textit{A. Connes} et al., J. High Energy Phys. 1998, No. 2, Paper No. 3, 35 p. (1998; Zbl 1018.81052) Full Text: DOI arXiv
Connes, Alain Noncommutative geometry: The spectral aspect. (English) Zbl 0951.58010 Connes, A. (ed.) et al., Quantum symmetries/ Symétries quantiques. Proceedings of the Les Houches summer school, Session LXIV, Les Houches, France, August 1 - September 8, 1995. Amsterdam: North-Holland. 643-686 (1998). Reviewer: U.Bruzzo (Miramare) MSC: 58B34 81T75 46L87 81T40 PDFBibTeX XMLCite \textit{A. Connes}, in: Quantum symmetries/ Symétries quantiques. Proceedings of the Les Houches summer school, Session LXIV, Les Houches, France, August 1 - September 8, 1995. Amsterdam: North-Holland. 643--686 (1998; Zbl 0951.58010)
Connes, Alain; Kreimer, Dirk Hopf algebras, renormalization and noncommutative geometry. (English) Zbl 0932.16038 Commun. Math. Phys. 199, No. 1, 203-242 (1998). Reviewer: T.Brzeziński (York) MSC: 16W30 81R50 46L87 81T05 58B32 58B34 PDFBibTeX XMLCite \textit{A. Connes} and \textit{D. Kreimer}, Commun. Math. Phys. 199, No. 1, 203--242 (1998; Zbl 0932.16038) Full Text: DOI arXiv
Connes, A. (ed.); Gawedzki, K. (ed.); Zinn-Justin, J. (ed.) Quantum symmetries/ Symétries quantiques. Proceedings of the Les Houches summer school, Session LXIV, Les Houches, France, August 1 - September 8, 1995. (English, French) Zbl 0902.00046 Amsterdam: North-Holland. 1032 p. (1998). MSC: 00B25 81-06 17-06 58-06 PDFBibTeX XMLCite \textit{A. Connes} (ed.) et al., Quantum symmetries/ Symétries quantiques. Proceedings of the Les Houches summer school, Session LXIV, Les Houches, France, August 1 - September 8, 1995. Amsterdam: North-Holland (1998; Zbl 0902.00046)
Connes, Alain; Damour, Thibault; Fayet, Pierre Aspherical gravitational monopoles. (English) Zbl 0925.83064 Nucl. Phys., B 490, No. 1-2, 391-431 (1997). MSC: 83C99 81T99 PDFBibTeX XMLCite \textit{A. Connes} et al., Nucl. Phys., B 490, No. 1--2, 391--431 (1997; Zbl 0925.83064) Full Text: DOI arXiv
Connes, Alain Noncommutative differential geometry and the structure of space time. (English) Zbl 1149.58301 Sternheimer, Daniel (ed.) et al., Deformation theory and symplectic geometry. Proceedings of the Ascona meeting, Switzerland, June 17–21, 1996. Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-4525-8/hbk). Math. Phys. Stud. 20, 1-33 (1997). MSC: 58B34 83C65 81T75 PDFBibTeX XMLCite \textit{A. Connes}, Math. Phys. Stud. 20, 1--33 (1997; Zbl 1149.58301)
Connes, Alain Noncommutative differential geometry and the structure of space time. (English) Zbl 0965.58009 ’t Hooft, Gerard (ed.) et al., Quantum fields and quantum space time. Summer school, Cargèse, Corsica, France, July 22 - August 3, 1996. New York, NY: Plenum Publishing Corporation. NATO ASI Ser., Ser. B, Phys. 364, 45-72 (1997). Reviewer: Akira Yoshioka (Tokyo) MSC: 58B34 81T75 81T20 83C47 PDFBibTeX XMLCite \textit{A. Connes}, NATO ASI Ser., Ser. B, Phys. 364, 45--72 (1997; Zbl 0965.58009)
Connes, Alain Noncommutative differential geometry and the structure of space time. (English) Zbl 0901.58004 Cuntz, Joachim J. R. (ed.) et al., Cyclic cohomology and noncommutative geometry. Proceedings of a workshop, Fields Institute, Waterloo, Ont., Canada, June 14–18, 1995. Providence, RI: American Mathematical Society. Fields Inst. Commun. 17, 17-42 (1997). Reviewer: L.Maxim-Răileanu (Iaşi) MSC: 46L85 46L87 46L60 19K56 81Q10 PDFBibTeX XMLCite \textit{A. Connes}, Fields Inst. Commun. 17, 17--42 (1997; Zbl 0901.58004)
Connes, Alain Spontaneous symmetry breaking and geometry from the spectral viewpoint. (Brisure de symétrie spontanée et géométrie du point de vue spectral.) (French) Zbl 0918.46064 J. Geom. Phys. 23, No. 3-4, 206-234 (1997). Reviewer: G.A.Noskov (Omsk) MSC: 46L85 19K56 46L87 81R40 PDFBibTeX XMLCite \textit{A. Connes}, J. Geom. Phys. 23, No. 3--4, 206--234 (1997; Zbl 0918.46064) Full Text: DOI
Chamseddine, Ali H.; Connes, Alain The spectral action principle. (English) Zbl 0894.58007 Commun. Math. Phys. 186, No. 3, 731-750 (1997). Reviewer: A.Cap (Wien) MSC: 46L85 46L87 58J50 81T13 81T20 81V17 81V22 PDFBibTeX XMLCite \textit{A. H. Chamseddine} and \textit{A. Connes}, Commun. Math. Phys. 186, No. 3, 731--750 (1997; Zbl 0894.58007) Full Text: DOI arXiv
Connes, Alain Spontaneous symmetry breaking and geometry from the spectral point of view. (Brisure de symétrie spontanée et géométrie du point de vue spectral.) (French) Zbl 0942.46044 Séminaire Bourbaki. Volume 1995/96. Exposés 805-819. Paris: Société Mathématique de France, Astérisque. 241, 313-349, Exp. No. 816 (1997). Reviewer: Vladimir Pestov (Wellington) MSC: 46L89 81T75 26E35 46S20 81R40 PDFBibTeX XMLCite \textit{A. Connes}, in: Séminaire Bourbaki. Volume 1995/96. Exposés 805--819. Paris: Société Mathé\-matique de France. 313--349, Exp. No. 816 (1997; Zbl 0942.46044) Full Text: Numdam EuDML
Chamseddine, Ali H.; Connes, Alain Universal formula for noncommutative geometry actions: unification of gravity and the standard model. (English) Zbl 1020.46505 Phys. Rev. Lett. 77, No. 24, 4868-4871 (1996). MSC: 46L85 81T13 81V17 PDFBibTeX XMLCite \textit{A. H. Chamseddine} and \textit{A. Connes}, Phys. Rev. Lett. 77, No. 24, 4868--4871 (1996; Zbl 1020.46505) Full Text: DOI arXiv
Connes, Alain Gravity coupled with matter and the foundation of non-commutative geometry. (English) Zbl 0881.58009 Commun. Math. Phys. 182, No. 1, 155-176 (1996). Reviewer: A.Morimoto (Nagoya) MSC: 46L85 46L87 81Q99 PDFBibTeX XMLCite \textit{A. Connes}, Commun. Math. Phys. 182, No. 1, 155--176 (1996; Zbl 0881.58009) Full Text: DOI arXiv
Connes, A. Non-commutative geometry and physics. (English) Zbl 0933.46069 Julia, B. (ed.) et al., Gravitation and quantizations. Proceedings of the Les Houches summer school on theoretical physics, session LVII, July 5 - August 1, 1992. Amsterdam: Elsevier. 805-950 (1995). Reviewer: H.Halpern (Cincinnati) MSC: 46L89 46L51 46L08 46M18 46L60 19K56 22D25 46L85 58J22 81V22 81T13 81V70 PDFBibTeX XMLCite \textit{A. Connes}, in: Gravitation and quantizations. Proceedings of the Les Houches summer school on theoretical physics, session LVII, July 5 - August 1, 1992. Amsterdam: Elsevier. 805--950 (1995; Zbl 0933.46069)
Connes, Alain Quantized calculus and applications. (English) Zbl 1052.46510 Iagolnitzer, Daniel (ed.), Proceedings of the XIth international congress on mathematical physics, Paris, France, July 18–23, 1994. Cambridge, MA: International Press (ISBN 1-57146-030-6/hbk). 15-36 (1995). Reviewer: Albert Sheu (Lawrence) (MR1370665) MSC: 46L87 58B34 58J40 81T30 PDFBibTeX XMLCite \textit{A. Connes}, in: Proceedings of the XIth international congress on mathematical physics, Paris, France, July 18--23, 1994. Cambridge, MA: International Press. 15--36 (1995; Zbl 1052.46510)
Connes, A.; Rovelli, C. Von Neumann algebra automorphisms and time-thermodynamics relation in generally covariant quantum theories. (English) Zbl 0821.46086 Classical Quantum Gravity 11, No. 12, 2899-2917 (1994). MSC: 46L60 81T10 46L40 46L30 82C10 PDFBibTeX XMLCite \textit{A. Connes} and \textit{C. Rovelli}, Classical Quantum Gravity 11, No. 12, 2899--2917 (1994; Zbl 0821.46086) Full Text: DOI arXiv
Connes, Alain; Flato, Moshé; Sternheimer, Daniel Closed star products and cyclic cohomology. (English) Zbl 0767.55005 Lett. Math. Phys. 24, No. 1, 1-12 (1992). Reviewer: P.J.Kahn (Ithaca) MSC: 55N35 19D55 19K56 17B37 81S30 58J40 57R20 PDFBibTeX XMLCite \textit{A. Connes} et al., Lett. Math. Phys. 24, No. 1, 1--12 (1992; Zbl 0767.55005) Full Text: DOI
Connes, Alain; Lott, John The metric aspect of noncommutative geometry. (English) Zbl 1221.58007 Fröhlich, J. (ed.) et al., New symmetry principles in quantum field theory. Proceedings of the NATO Advanced Study Institute held in Cargèse, July 16–27, 1991. New York, NY: Plenum Press (ISBN 0-306-44240-X). NATO Advanced Science Institutes Series B: Physics, 295, 53-93 (1992). MSC: 58B34 22E40 46L87 81T60 81V22 PDFBibTeX XMLCite \textit{A. Connes} and \textit{J. Lott}, in: New symmetry principles in quantum field theory. Proceedings of the NATO Advanced Study Institute held in Cargèse, July 16--27, 1991. New York, NY: Plenum Press. 53--93 (1992; Zbl 1221.58007)
Connes, Alain Noncommutative geometry and quantum physics. (Géométrie non commutative et physique quantique.) (French) Zbl 0942.58015 Connes, Alain et al., Mathématiques quantiques. Paris: Société Mathématique de France, SMF Journ. Annu. 1992, 22 p. (1992). MSC: 58B34 81R50 81V70 PDFBibTeX XMLCite \textit{A. Connes}, SMF Journ. Annu. 1992, 22 pp. (1992; Zbl 0942.58015)
Connes, Alain; Helffer, Bernard Quantum mathematics. (Mathématiques quantiques.) (French) Zbl 1080.81504 SMF Journée Annuelle 1992. Paris: Société Mathématique de France. 52 pp. (1992). MSC: 81-06 00B15 PDFBibTeX XMLCite \textit{A. Connes} and \textit{B. Helffer}, Mathématiques quantiques. Paris: Société Mathématique de France (1992; Zbl 1080.81504)
Connes, Alain Noncommutative geometry. (Géométrie non commutative.) (French) Zbl 0745.46067 Paris: InterEditions. 240 p. (1990). Reviewer: H.Schröder (Dortmund) MSC: 46L87 46-02 46L85 81T70 81S10 58J22 46L51 46L53 46L54 46L37 19K56 19D55 PDFBibTeX XMLCite \textit{A. Connes}, Géométrie non commutative. Paris: InterEditions (1990; Zbl 0745.46067)
Connes, Alain; Lott, John Particle models and noncommutative geometry. (English) Zbl 0957.46516 Nucl. Phys., B, Proc. Suppl. 18B, 29-47 (1990). MSC: 46L85 46L60 46L87 81V25 PDFBibTeX XMLCite \textit{A. Connes} and \textit{J. Lott}, Nucl. Phys., B, Proc. Suppl. 18B, 29--47 (1990; Zbl 0957.46516)
Connes, A.; Narnhofer, H.; Thirring, W. Dynamical entropy of C *-algebras and von Neumann algebras. (English) Zbl 0637.46073 Commun. Math. Phys. 112, 691-719 (1987). Reviewer: G.Loupias MSC: 46L55 81T05 82B10 PDFBibTeX XMLCite \textit{A. Connes} et al., Commun. Math. Phys. 112, 691--719 (1987; Zbl 0637.46073) Full Text: DOI
Connes, Alain; Rieffel, Marc A. Yang-Mills for non-commutative two-tori. (English) Zbl 0633.46069 Operator algebras and mathematical physics, Proc. Summer Conf., Iowa City/Iowa 1985, Contemp. Math. 62, 237-266 (1987). Reviewer: Do Ngoc Diep MSC: 46L80 46L87 81S10 53D50 PDFBibTeX XML