Christian Blanchet

Institut de Mathématiques de Jussieu - Paris Rive Gauche (UMR 7586)
Université de Paris
Bâtiment Sophie Germain, plan d'accès.
Case 7012
75205 PARIS CEDEX 13

Bureau 719
firstname.name@imj-prg.fr (firstname=christian,name=blanchet)
Biographical sketch



Domaines de recherche

Topologie de basse dimension, théorie des noeuds, topologie quantique, catégories modulaires, TQFTs non semi-simples, algèbres de Hopf, catégorification.



Présentations d'exposés

Prépublications (arXiv)

  1. C. Blanchet, C. Matmat Obstruction theory for the Z_2-index of 4-manifolds arXiv:2401.15412 .
  2. A. Beliakova, C. Blanchet Abelian TQFTS and Schrödinger local systems arXiv:2306.10725 .
  3. C. Blanchet, M. Palmer, A. Shaukat Action of subgroups of the mapping class group on Heisenberg homologies arXiv:2306.08614 .
  4. C. Blanchet, M. Palmer, A. Shaukat Heisenberg homology on surface configurations arXiv:2109.00515 .

Publications

  1. C. Blanchet, Heisenberg homology of ribbon graphs Essays in Geometry: Dedicated to Norbert A'Campo , ed. A. Papadopoulos, European Mathematical Society Publishing House, Berlin, 2023.
  2. Shaukat, A., Blanchet, C. Weakly framed surface configurations, Heisenberg homology, and mapping class group action. Arch. Math. 120, 99–109 (2023).; arXiv:2206.11475 .
  3. H. Azam, C. Blanchet, Fukaya category of surfaces and mapping class group action Journal of Pure and Applied Algebra , Vol. 226, Issue 6 (2022), arXiv:1903.11928 .
  4. C. Blanchet, M. De Renzi, J. Murakami Diagrammatic Construction of Representations of Small Quantum 𝔰𝔩2 , Transformation Groups ( online 2021 ), arXiv:1910.12427 .
  5. C. Blanchet, M. De Renzi, Modular Categories and TQFTs Beyond Semisimplicity arXiv:2011.12932 , Topology and Geometry: A Collection of Papers Dedicated to Vladimir G. Turaev, ed. A. Papadopoulos, European Mathematical Society Publishing House, Berlin, 2021.
  6. A. Beliakova, C. Blanchet, A. Gainutdinov, Modified trace is a symmetrised integral , Selecta Mathematica volume 27, Article number: 31 (online 2021) ; arXiv:1801.00321.
  7. C. Blanchet, C. Matmat, The Borsuk-Ulam theorem for 3-manifolds , Quaestiones Mathematicae, DOI: 10.2989/16073606.2021.1887391 Volume 45, 2022 - Issue 5; arXiv:2001.03680 .
  8. C. Blanchet, N. Geer, B. Patureau-Mirand, N. Reshetikhin, Holonomy braidings, biquandles and quantum invariants of links with SL2(C) flat connections , Selecta Mathematica volume 26, Article number: 19 (2020) , arXiv:1806.02787.
  9. A. Beliakova, C. Blanchet, N. Geer, Logarithmic Hennings invariants for restricted quantum sl(2) , Algebraic & Geometric Topology 18 (2018) 4329–4358 , arXiv:1705.03083.
  10. A. Beliakova, C. Blanchet, E. Contreras. Spin Modular Categories Quantum Topology, Volume 8, Issue 3 (2017) 459–504, arXiv:1411.4232 .
  11. C. Blanchet, F. Costantino, N. Geer, B. Patureau. Non semi-simple TQFTs, Reidemeister torsion and Kashaev's invariants , Advances in Mathematics 301 (2016) 1–78, arXiv:1404.7289
  12. C. Blanchet, F. Costantino, N. Geer, B. Patureau. Non semi-simple TQFTs from unrolled quantum sl(2), Proceedings of the Gökova Geometry-Topology Conference 2015 , arXiv:1605.07941.
  13. C. Blanchet, F. Costantino, N. Geer, B. Patureau. Non semi-simple sl2 quantum invariants, spin case Acta Math Vietnamica, Vol 39 No 4 (2014) 481-495.
  14. C. Blanchet, An oriented model for Khovanov homology. Journal of Knot Theory and Its Ramifications Vol. 19, N. 2 (2010) 291-312.( pdf)
  15. 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.
  16. C. Blanchet, Link homology and trivalent TQFT Oberwalfach report 22/2008, 1168--1170.
  17. C. Blanchet, V.Turaev, Quantum Invariants of 3-manifolds. Encyclopedia of Mathematical Physics, Elsevier 2006, 117-123 ( pdf)
  18. C. Blanchet, V.Turaev, Axiomatic approach to TQFT. Encyclopedia of Mathematical Physics, Elsevier 2006, 232-234 ( pdf)
  19. 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.
  20. 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 )
  21. 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)
  22. A. Beliakova, C. Blanchet, Skein construction of idempotents in the Birman-Murakami-Wenzl algebras . Math Ann 321 (2001) 2, 347-373.
  23. A. Beliakova, C. Blanchet, Modular Categories of types B,C and D . Comment. Math. Helv. 76 (2001) 467-500.
  24. C. Blanchet, Hecke algebras, modular categories and 3-manifolds quantum invariants, Topology 39 (2000) 193-223.
  25. C. Blanchet, Refined quantum invariants for three-manifolds with structure, Banach Center Pub. Vol. 42 (1998), 11-22.
  26. 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.
  27. C. Blanchet, G. Masbaum, Topological quantum field theories for surfaces with spin structure, Duke Mathematical Journal 82 (1996), 229-267.
  28. C. Blanchet, N. Habegger, G. Masbaum, P. Vogel, Topological Quantum Field Theories derived from the Kauffman bracket, Topology 34 (1995), 883-927.
  29. 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, here.
  30. C. Blanchet, Invariants on three-manifolds with spin stucture, Comm. Math. Helv. 67 (1992), 406-427.
  31. C. Blanchet, N. Habegger, G. Masbaum, P. Vogel, Three-manifold invariants derived from the Kauffman bracket, Topology 31 (1992), 685-699.

    32. Cours sino-français de Topologie algébrique, Hefei