Benoit Fresse's home page


Address:
Université de Lille 1 - Sciences et Technologiese
UFR de Mathématiques
Cité Scientifique - Bâtiment M2
F-59655 Villeneuve d'Ascq Cedex
Phone: (33) 3 20 43 45 71

E-mail:

Research

Publications

  1. Cogroupes dans les algèbre sur une opérade, Thèse de doctorat de l'Université Louis Pasteur (Strasbourg 1), 1996, 107 pages.
  2. Opérations de Cartan pour les algèbres simpliciales sur une opérade, C. R. Acad. Sci. Paris Sér. I Math. 325 (1997), 247-252. MR 98c:18009
  3. Lie theory of formal groups over an operad, J. of Algebra 202 (1998), 455-511. MR 99c:14063, Publication.
  4. Homologie de Quillen pour les algèbres de Poisson, C. R. Acad. Sci. Paris Sér. I Math. 326 (1998), 1053-1058. MR 99j:16001
  5. Cogroups in algebras over an operad are free algebras, Comment. Math. Helv. 73 (1998), 637-676. MR 99i:18010, Publication.
  6. Algèbre des descentes et cogroupes dans les algèbres sur une opérade, Bull. Soc. Math. Fr. 126 (1998), 407-433. MR 2000c:16049, Publication.
  7. On the homotopy of simplicial algebras over an operad, Trans. Amer. Math. Soc., 352 (2000), 4113-4141. MR 2000m:18015 Publication.
  8. Structures de Poisson sur une intersection complète à singularitées isolées, C. R. Acad. Sci. Paris Sér. I Math. 335 (2002), 5-10. MR 2003g:13017, Publication.
  9. Une décomposition prismatique de l'opérade de Barratt-Eccles, with Clemens Berger, C. R. Acad. Sci. Paris Sér. I Math. 335 (2002), 365-370. MR 2003m:55006, Publication.
  10. La construction bar d'une algèbre comme algèbre de Hopf E-infini, C. R. Acad. Sci. Paris Sér. I Math. 337 (2003), 403-408. MR 2004h:18008, Publication.
  11. Combinatorial operad actions on cochains, with Clemens Berger, Math. Proc. Cambridge Philos. Soc. 137 (2004), 135-174. MR2075046 (2005e:18013), Publication.
  12. Koszul duality of operads and homology of partition posets, in "Homotopy theory and its applications (Evanston, 2002)", Contemp. Math. 346, Amer. Math. Soc. (2004), 115-215. MR2066499 (2005g:18015), Publication Manuscript.
  13. Théorie des opérades de Koszul et homologie des algèbres de Poisson, Ann. Math. Blaise Pascal 13 (2006), 237-312. MR2275449 (2009b:17051), Publication.
  14. Modules over operads and functors, Lecture Notes in Mathematics 1967, Springer Verlag, 2009, 318 pages.
  15. Operadic cobar constructions, cylinder objects and homotopy morphisms of algebras over operads, in "Alpine perspectives on algebraic topology (Arolla, 2008)", Contemp. Math. 504, Amer. Math. Soc. (2009), 125-189. Abstract, Publication Manuscript.
  16. The bar complex of an E-infinity algebra, Adv. Math. 223 (2010), pp. 2049-2096. Abstract, Publication.
  17. Props in model categories and homotopy invariance of structures, Georgian Math. J. 17 (2010), pp. 79-160. Abstract, Publication, Manuscript.
  18. Iterated bar complexes of E-infinity algebras and homology theories, Alg. Geom. Topol. 11 (2011), pp. 747-838. Abstract, Publication, Manuscript.
  19. On mapping spaces of differential graded operads with the commutative operad as target, Math. Res. Lett. 18 (2011), pp. 215-230. Abstract, Publication, Manuscript.
  20. Koszul duality of En-operads, Selecta Math. 17 (2011), 363-434. Abstract, Publication, Manuscript. Exposé au 3rd Arolla Topology Conference, Arolla, Switzerland (2008), Présentation PDF.
  21. La catégorie des arbres élagués de Batanin est de Koszul, in"Opérades 2009 (Luminy, 2009)", Sém. Congrès 26, Soc. Math. Fr. (2013), 99-144. Abstract, Publication, Manuscript.
  22. Koszul duality complexes for the cohomology of iterated loop spaces of spheres, in "An Alpine expedition through algebraic topology (Arolla, 2012)", Contemp. Math. 617, Amer. Math. Soc. (2014), 165-188. Abstract, Publication, Manuscript.
  23. Iterated bar complexes and En-homology with coefficients, with Stephanie Ziegenhagen, J. Pure Appl. Algebra 220 (2016), 683-710. Publication, Manuscript.
  24. The cotriple resolution of differential graded algebras, Proc. Amer. Math. Soc. 144 (2016), 4693-4707. Publication, Manuscript.
  25. Homotopy of operads & Grothendieck-Teichmüller groups, Mathematical Surveys and Monographs, American Mathematical Society (à paraître), xl+534 pages (first volume), xxxi+704 pages (second volume).

Preprints

  1. The intrinsic formality of En-operads, with Thomas Willwacher, preprint arXiv:1503.08699 (2015). Manuscript.
  2. The rational homotopy of mapping spaces of En operads, with Victor Turchin and Thomas Willwacher, preprint arXiv:1703.06123 (2017). Abstract, Manuscript.
  3. The homotopy category of unitary operads as a full subcategory of the homotopy category of all operads, with Victor Turchin and Thomas Willwacher, preprint arXiv:1703.06093 (2017). Manuscript.

Miscellaneous notes and internal reports

  1. Functor homology and operadic homology, notes (2014). Article draft.
  2. Iterated bar complexes and the poset of pruned trees. Addendum to the paper "Iterated bar complexes of E-infinity algebras and homology theories", notes (2008), 13 pages. Abstract, Addendum.
  3. The universal Hopf operads of the bar construction, memoir to be revised (2007), 125 pages. Abstract, Full text.
  4. Derived division functors and mapping spaces, preprint to be revised (2002), 34 pages. Abstract, Article.
  5. Le complexe bar itéré des En-algèbres comme un diagramme homotopique sur la catégorie des arbres élagués, preprint (2009), 67 pages. Abstract, Article.
  6. Homologie de Poisson de surfaces à une singularité isolée, notes (1998). Article.
  7. Applications polynomiales et foncteurs polynomiaux, notes of a talk (1997), 24 pages. Full text.
  8. Structures d'opérades en algèbre homologique, mémoire d'habilitation à diriger des recherches (2002), 36 pages. Full text.

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(11/7/2016)