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Preprints and Publications

  • String Topology, Euler Class and TNCZ free loop fibrations, dvi, pdf, preprint, August 2013.
  1. Derived string topology and the Eilenberg-Moore spectral sequence, dvi, pdf, (with K. Kuribayashi and T. Naito), preprint May , 2013, to appear in Israel J. Math..
  2. Behavior of the Eilenberg-Moore spectral sequence in derived string topology, dvi, pdf, (with K. Kuribayashi and T. Naito), Topology Appl. 164 (2014), 24–44.
  3. Rational Homotopy. Minimal models, dvi, pdf, a chapter in the book "Free loop space in geometry and Topology" to appear in IRMA Lect. Math. Theor. Phys., EMS Publishing House.
  4. String topology of classifying spaces, dvi, pdf, (with D. Chataur), preprint December 31, 2007, version 3, June 1, 2009, J. Reine Angew. Math. 669 (2012), 1-45.
  5. Connes-Moscovici characteristic map is a Lie algebra morphism, dvi, pdf, J. Algebra 331 (2011), no. 1, 311-337. (Sign) erratum, dvi, pdf
  6. A Batalin-Vilkovisky algebra morphism from double loop spaces to free loops, dvi, pdf, Trans. Amer. Math. Soc. 363 (2011), 4443-4462.
  7. Van Den Bergh isomorphisms in String Topology, dvi, pdf, J. Noncommut. Geom. 5 (2011), no. 1, 69-105.
  8. Batalin-Vilkovisky algebra structures on Hochschild Cohomology, dvi, pdf, Bull. Soc. Math. France 137 (2009), no 2, 277-295.
  9. Batalin-Vilkovisky algebras and the J-homomorphism, dvi, pdf, (with G. Gaudens), Topology Appl. 156 (2008), no. 2, 365-374.
  10. String topology for spheres, dvi, pdf, Comment. Math. Helv. 84 (2009), no 1, 135-157.
  11. Batalin-Vilkovisky algebras and cyclic cohomology of Hopf algebras, dvi, pdf, K-Theory 32 (2004), 231-251. (Sign) erratum, dvi, pdf
  12. Gerstenhaber Duality in Hochschild cohomology, dvi, pdf, (with Y. Felix and J.-C. Thomas), J. Pure Appl. Algebra 199 (2005), 43-59.
  13. P-th powers in mod p cohomology of fibers, pdf, dvi, C. R. Acad. Sci. Paris Sér. I Math. 332 (2001), no. 6, 537-540.
  14. The cohomology ring of free loop spaces, dvi, pdf, Homology Homotopy Appl. 3 (2001), no. 1, 193-224.
  15. On the cohomology algebra of a fiber, pdf, Algebr. Geom. Topol. 1 (2001), 719-742.

  • Structures algébriques sur l’homologie des lacets et la cohomologie de Hochschild, dvi, pdf, mémoire d’habilitation, Juin 2008. expose.
  • Sur l’algèbre de cohomologie d’une fibre, dvi, pdf, Phd thesis, University of Lille 1, July 1997.