Christian Blanchet

Institut de Mathématiques de Jussieu (UMR 7586 du CNRS)
Université Paris 7 (Denis Diderot)
175 rue du Chevaleret, bureau 9D1
75013 Paris
(33) 1 44 27 79 53
name@math.jussieu.fr (name=blanchet)




Domaines de recherche

Topologie de basse dimension, théorie des noeuds, topologie quantique, catégories modulaires,
homologie de Khovanov, homologie de Heegaard-Floer (Ozsvath-Szabo).

Liens

Prépublications

  1. C. Blanchet, An oriented model for Khovanov homology. pdf (v2: 03/2010)
  2. C. Blanchet, I. Marin, Cabling Burau representation. pdf

Exposés

  1. Khovanov homology, Clermont-Ferrand, Septembre 2006.
  2. Link homology from trivalent TQFT, Uppsala September 2006, revised for Liverpool December 2006.

Publications récentes

  1. A. Beliakova, C. Blanchet, T. Le, Unified quantum invariants and their refinements for homology 3-spheres with 2-torsion . Fundamenta Mathematicae, Vol. 201, N. 3 (2008) 217-239.
  2. C. Blanchet, Link homology and trivalent TQFT Oberwalfach report 22/2008, 1168--1170.
  3. C. Blanchet, V.Turaev, Quantum Invariants of 3-manifolds. Encyclopedia of Mathematical Physics, Elsevier 2006, 117-123 ( pdf)
  4. C. Blanchet, V.Turaev, Axiomatic approach to TQFT. Encyclopedia of Mathematical Ph\ysics, Elsevier 2006, 232-234 ( pdf)
  5. C. Blanchet, A spin decomposition of the Verlinde formulas for type A modular categories. Comm. in Math. Physics , Vol. 257, N. 1, May 2005, 1 - 28.
  6. C. Blanchet, E. Gallais, Combinatorial Topology and Discrete Morse Theory. In Differential geometry and topology, discrete and computational geometry, J.M. Morvan and M. Boucetta editors, NATO Science Series III (2004). ( pdf )
  7. C. Blanchet, Introduction to quantum invariants of 3-manifolds, topological quantum field theories and modular categories. Cardona, Alexander (ed.) et al., Proceedings of the summer school on geometric and topological methods for quantum field theory, Villa de Leyva, Colombia, July 9-27, 2001. River Edge, NJ: World Scientific. 228-264 (2003). ( ps)
  8. A. Beliakova, C. Blanchet, Skein construction of idempotents in the Birman-Murakami-Wenzl algebras . Math Ann 321 (2001) 2, 347-373.
  9. A. Beliakova, C. Blanchet, Modular Categories of types B,C and D . Comment. Math. Helv. 76 (2001) 467-500.
  10. C. Blanchet, Hecke algebras, modular categories and 3-manifolds quantum invariants, Topology 39 (2000) 193-223.

Autres publications

  1. C. Blanchet, Invariants on three-manifolds with spin stucture, Comm. Math. Helv. 67(1992), 406-427.
  2. C. Blanchet, N. Habegger, G. Masbaum, P. Vogel, Three-manifold invariants derived from the Kauffman bracket, Topology 31 (1992), 685-699.
  3. C. Blanchet, N. Habegger, G. Masbaum, P. Vogel, Remarks on the Three-manifold Invariants theta_p, in `Operator Algebras, Mathematical Physics, and Low Dimensional Topology', Ed. by R. Herman and B. Tanbay, Research Notes in Mathematics Vol 5, 39-59.
  4. C. Blanchet, N. Habegger, G. Masbaum, P. Vogel, Topological Quantum Field Theories derived from the Kauffman bracket, Topology 34 (1995), 883-927.
  5. C. Blanchet, G. Masbaum, Topological quantum field theories for surfaces with spin structure, Duke Mathematical Journal 82 (1996), 229-267.
  6. C. Blanchet, Refined quantum invariants for three-manifolds with structure, Banach Center Pub. Vol. 42 (1998), 11-22.
  7. H. Abchir, C. Blanchet, On the computation of the Turaev-Viro module of a Knot, Journal of Knot Theory and its Ramifications, Vol. 7, No 7 (1998), 843-856.

    8. Notes d'exposé: Homologie de Heegaard-Floer, Llagonne 2009

    Ecole d'été 99, Grenoble: notes de cours