Downloads

Books

  • Noncommutative Geometry   [PDF] 4.1 MB
    Academic Press, San Diego, CA, 1994, 661 p., ISBN 0-12-185860-X.
  • Noncommutative Geometry, Quantum Fields and Motives   [PDF] 6.4 MB
    With Matilde Marcolli
    Preliminary version still under revision.

Most Recent Papers

  • Cyclic homology, Serre's local factors and the lambda-operations   [PDF] 383 KB
    With C. Consani
    Available since November 21, 2012
  • The universal thickening of the field of real numbers   [PDF] 3.5 MB
    With C. Consani
    Available since February 21, 2012
  • Modular curvature for noncommutative two-tori   [PDF] 839 KB
    With H. Moscovici
    Available since October 16, 2011

Older Papers Recently Available in Electronic Form

  • Spectral sequence and homology of currents for operator algebras   [PDF] 625 KB
    Available since June 23, 2012
  • Caractère multiplicatif d'un module de Fredholm   [PDF] 1.6 MB
    With Max Karoubi
    Available since May 10, 2007
  • Cyclic cohomology, the Novikov conjecture and hyperbolic groups   [PDF] 2.7 MB
    With Henri Moscovici
    Available since April 25, 2007

Complete List of Downloadable Papers

  • Une classification des facteurs de type III   [PDF] 10.3 MB
  • Outer conjugacy classes of automorphisms of factors   [PDF] 3.1 MB
  • Periodic automorphisms of the hyperfinite factor of type II1   [PDF] 5.9 MB   [PS] 7.5 MB
  • Sur la théorie non commutative de l'intégration   [PDF] 546 KB   [PS] 1.1 MB
  • C* algèbres et géométrie différentielle   [PDF] 1.2 MB
  • C* algebras and differential geometry   [PDF] 135 KB   [PS] 140 KB
  • Spectral sequence and homology of currents for operator algebras   [PDF] 625 KB
  • A survey of foliations and operator algebras   [PDF] 521 KB   [PS] 1.0 MB
  • Cohomologie cyclique et foncteurs Extn   [PDF] 131 KB   [PS] 431 KB
  • Caractère multiplicatif d'un module de Fredholm   [PDF] 1.6 MB
    With Max Karoubi
  • The longitudinal index theorem for foliations   [PDF] 367 KB   [PS] 728 KB
    With Georges Skandalis
  • Non commutative differential geometry   [PDF] 8.5 MB
  • Cyclic cohomology and the transverse fundamental class of a foliation   [PDF] 461 KB   [PS] 812 KB
  • Dynamical entropy of C* algebras and von Neumann algebras   [PDF] 1.6 MB
    With H. Narnhofer and W. Thirring
  • The action functional in noncommutative geometry   [PDF] 650 KB
  • Cyclic cohomology, the Novikov conjecture and hyperbolic groups   [PDF] 2.7 MB
    With Henri Moscovici
  • Von Neumann algebra automorphisms and time-thermodynamics relation in generally covariant quantum theories   [PDF] 210 KB   [PS] 332 KB
    With C. Rovelli
  • The local index formula in noncommutative geometry   [PS] 744 KB
    With Henri Moscovici
  • Noncommutative geometry and reality   [PDF] 2.5 MB
  • Hecke algebras, type III factors and phase transitions with spontaneous symmetry breaking in number theory   [PDF] 26.8 MB
    With Jean-Benoît Bost
  • Gravity coupled with matter and the foundation of non-commutative geometry   [PDF] 213 KB   [PS] 202 KB
  • Aspherical gravitational monopoles   [PDF] 461 KB   [PS] 381 KB
    With Thibault Damour and Pierre Fayet
  • Universal formula for noncommutative geometry actions: unification of gravity and the standard model   [PDF] 113 KB   [PS] 102 KB
    With Ali H. Chamseddine
  • The spectral action principle   [PDF] 207 KB   [PS] 188 KB
    With Ali H. Chamseddine
  • Noncommutative geometry and matrix theory: compactification on tori   [PDF] 333 KB   [PS] 299 KB
    With Michael R. Douglas and Albert Schwarz
  • A New Proof of Morley's Theorem   [PDF] 54 KB   [PS] 274 KB
  • Hopf algebras, renormalization and Noncommutative geometry   [PDF] 424 KB   [PS] 975 KB
    With D. Kreimer
  • Hopf algebras, cyclic cohomology and the transverse index theorem   [PDF] 366 KB   [PS] 410 KB
    With H. Moscovici
  • Trace formula in noncommutative geometry and the zeros of the Riemann zeta function   [PS] 702 KB
  • Lessons from Quantum Field Theory   [PDF] 157 KB   [PS] 239 KB
    With D. Kreimer
  • Renormalization in Quantum Field Theory and the Riemann-Hilbert problem   [PDF] 130 KB   [PS] 100 KB
    With D. Kreimer
  • Renormalization in Quantum Field Theory and the Riemann-Hilbert problem I   [PDF] 264 KB   [PS] 745 KB
    With D. Kreimer
  • Cyclic Cohomology, Hopf Algebras and the Modular Theory   [PDF] 99 KB   [PS] 104 KB
    With H. Moscovici
  • Noncommutative Geometry and the Riemann zeta function   [PDF] 155 KB   [PS] 841 KB
  • Symétries, de Galois au monde Quantique   [PS] 4.7 MB
  • Symétries   [PDF] 193 KB   [PS] 6.6 MB
  • Renormalization in quantum field theory and the Riemann-Hilbert problem II, the Beta function, diffeomorphisms and the renormalization group   [PDF] 286 KB   [PS] 9.6 MB
    With D. Kreimer
  • A Short Survey of Noncommutative Geometry   [PDF] 371 KB   [PS] 343 KB
  • Cyclic Cohomology and Hopf Symmetry   [PDF] 286 KB   [PS] 246 KB
    With H. Moscovici
  • Noncommutative Geometry Year 2000   [PDF] 629 KB   [PS] 4.3 MB
  • Noncommutative Manifolds The Instanton Algebra and Isospectral Deformations   [PDF] 199 KB   [PS] 203 KB
    With G. Landi
  • Differentiable cyclic cohomology and Hopf algebraic structures in transverse geometry   [PDF] 329 KB   [PS] 328 KB
    With H. Moscovici
  • Insertion and Elimination, the doubly infinite Lie algebra of Feynman Graphs   [PDF] 246 KB   [PS] 1.3 MB
    With D. Kreimer
  • Cyclic cohomology, Quantum group Symmetries and the Local Index Formula for SUq(2)   [PDF] 409 KB   [PS] 447 KB
  • Noncommutative finite-dimensional manifolds I, spherical manifolds and related examples   [PDF] 487 KB   [PS] 520 KB
    With M. Dubois-Violette
  • Symétries Galoisiennes et renormalisation   [PDF] 233 KB   [PS] 1.0 MB
  • Yang-Mills Algebra   [PDF] 225 KB   [PS] 149 KB
    With M. Dubois-Violette
  • Modular Hecke Algebras and their Hopf Symmetry   [PDF] 323 KB   [PS] 492 KB
    With H. Moscovici
  • Rankin-Cohen Brackets and the Hopf Algebra of Transverse Geometry   [PDF] 230 KB   [PS] 263 KB
    With H. Moscovici
  • Moduli Space and Structure of NonCommutative 3-Spheres   [PDF] 286 KB   [PS] 506 KB
    With M. Dubois-Violette
  • L2 Homology for von-Neumann Algebras   [PDF] 402 KB   [PS] 453 KB
    With D. Shlyakhtenko
  • Quantum Statistical Mechanics of Q-lattices   [PDF] 708 KB   [PS] 845 KB
    With M. Marcolli
  • Renormalization and motivic Galois theory   [PDF] 217 KB   [PS] 207 KB
    With M. Marcolli
  • Yang-Mills and related Algebras   [PDF] 188 KB   [PS] 191 KB
    With M. Dubois-Violette
  • Renormalization, the Riemann-Hilbert correspondence and motivic Galois theory   [PDF] 684 KB   [PS] 1.3 MB
    With M. Marcolli
  • Quantum Fields and Motives   [PDF] 373 KB   [PS] 355 KB
    With M. Marcolli
  • La Pensée d'Evariste Galois et le Formalisme moderne   [PDF] 259 KB   [PS] 1.6 MB
  • Advice to the beginner   [PDF] 42 KB   [PS] 121 KB
  • KMS states and complex multiplication   [PDF] 203 KB   [PS] 461 KB
    With M. Marcolli and N. Ramachandran
  • KMS states and complex multiplication (Part II)   [PDF] 306 KB   [PS] 607 KB
    With M. Marcolli and N. Ramachandran
  • Transgressions of the Godbillon-Vey class and Rademacher functions   [PDF] 267 KB   [PS] 311 KB
    With H. Moscovici
  • Noncommutative finite dimensional manifolds II   [PDF] 959 KB   [PS] 1.4 MB
    With M. Dubois-Violette
  • Noncommutative geometry and motives   [PDF] 683 KB   [PS] 1.0 MB
    With C. Consani and M. Marcolli
  • Scale Invariance in the Spectral Action   [PDF] 168 KB   [PS] 324 KB
    With A. Chamseddine
  • A Walk in the Noncommutative Garden   [PDF] 1.1 MB   [PS] 7.3 MB
    With M. Marcolli
  • Inner Fluctuations of the Spectral Action   [PDF] 232 KB   [PS] 366 KB
    With A. Chamseddine
  • Noncommutative geometry and the standard model with neutrino mixing   [PDF] 262 KB   [PS] 414 KB
  • Type III and spectral triples   [PDF] 180 KB   [PS] 197 KB
    With H. Moscovici
  • Gravity and the standard model with neutrino mixing   [PDF] 722 KB   [PS] 1.8 MB
    With A. Chamseddine and M. Marcolli
  • The Weil proof and the geometry of the adeles class space   [PDF] 636 KB   [PS] 1.4 MB
    With C. Consani and M. Marcolli
  • Quantum Gravity Boundary Terms from Spectral Action   [PDF] 116 KB
    With A. Chamseddine
  • Why the Standard Model   [PDF] 188 KB
    With A. Chamseddine
  • A Dress for SM the Beggar   [PDF] 111 KB
    With A. Chamseddine
  • On the spectral characterization of manifolds   [PDF] 674 KB
  • Fun with F1   [PDF] 391 KB
    With K. Consani, M. Marcolli
  • On the notion of geometry over F1   [PDF] 305 KB
    With K. Consani
  • A Unitary Invariant in Riemannian Geometry   [PDF] 369 KB
  • The Uncanny precision of the Spectral Action   [PDF] 314 KB
    With A. Chamseddine
  • Schemes over F1 and zeta functions   [PDF] 378 KB
    With K. Consani
  • The Gauss-Bonnet Theorem for the noncommutative two torus   [PDF] 192 KB
    With P. Tretkoff
  • Characteristic 1, entropy and the absolute point   [PDF] 565 KB
    With K. Consani
  • The hyperring of adele classes   [PDF] 269 KB
    With K. Consani
  • From monoids to hyperstructures: in search of an absolute arithmetic.   [PDF] 269 KB
    With K. Consani
  • The Witt construction in characteristic one and Quantization.   [PDF] 351 KB
  • Noncommutative geometric spaces with boundary: Spectral Action   [PDF] 225 KB
    With A. Chamseddine
  • On the arithmetic of the BC-system    [PDF] 649 KB
    With C. Consani
  • Spectral Action for Robertson-Walker metrics   [PDF] 243 KB
    With A. Chamseddine
  • Modular curvature for noncommutative two-tori   [PDF] 839 KB
    With H. Moscovici
  • The universal thickening of the field of real numbers   [PDF] 3.5 MB
    With C. Consani
  • Cyclic homology, Serre's local factors and the lambda-operations   [PDF] 383 KB
    With C. Consani

Survey Papers

  • Noncommutative geometry and physics   [PDF] 1.4 MB   [PS] 1.9 MB
  • A View of Mathematics   [PDF] 418 KB   [PS] 2.9 MB
  • Gelfand's 90th   [PDF] 232 KB   [PS] 446 KB
  • Renormalisation et symétries galoisiennes   [PDF] 312 KB   [PS] 1.2 MB

Lectures at the Collège de France

  • Renormalisation (2005 - 2006)
    • Lecture #1   [PDF] 257 KB   [PS] 2.2 MB
    • Lecture #2   [PDF] 156 KB   [PS] 728 KB
    • Lecture #3   [PDF] 144 KB   [PS] 857 KB
    • Lecture #4   [PDF] 94 KB   [PS] 1.5 MB
    • Lecture #5   [PDF] 105 KB   [PS] 1.0 MB
    • Lecture #6   [PDF] 107 KB   [PS] 201 KB
    • Lecture #7   [PDF] 109 KB   [PS] 275 KB
    • Lecture #8   [PDF] 142 KB   [PS] 436 KB
    • Lecture #9   [PDF] 182 KB   [PS] 1.3 MB
  • Géométrie des algèbres quadratiques (2004 - 2005)   [PDF] 104 KB   [PS] 239 KB
  • Q-réseaux (2003 - 2004)   [PDF] 98 KB   [PS] 236 KB
  • Structures transverses et Crochets de Rankin-Cohen (2002 - 2003)   [PDF] 89 KB   [PS] 219 KB
  • Variétés Noncommutatives de type Sphérique (2000 - 2001)   [PDF] 74 KB   [PS] 189 KB
  • Renormalisation en théorie des champs et problème de Riemann-Hilbert (1999 - 2000)   [PDF] 83 KB   [PS] 206 KB
  • Réalisation spectrale des Zéros de Zéta (1998 - 1999)   [PDF] 123 KB   [PS] 208 KB
  • Algèbres de Hopf, Cohomologie Cyclique et Théorème de l'Indice transverse (1997 - 1998)   [PS] 184 KB
  • Leçon inaugurale (January 11, 1985)   [PDF] 4.1 MB   [PS] 5.2 MB

Other Lectures

  • NCG and Physics   [PPT] 2.8 MB
  • NCG and modular forms   [PPT] 4.9 MB
  • NCG and foliations   [PDF] 168 KB   [PS] 311 KB
  • Conférence Boltzmann   [PDF] 370 KB   [PS] 1.9 MB
  • Conférence Galois IHP   [PDF] 1.5 MB
  • Conférence Galois   [PDF] 13.1 MB

Miscellaneous

  • La géométrie non-commutative (CNRS, 2004)   [PDF] 89 KB
  • Press release of the "Rencontre de géométrie non-commutative" (IHES, 2002)   [PDF] 5.6 MB
  • Photo Album (CNRS)   [PDF] 128 KB
  • Interview EMS   [PDF] 114 KB