Thèse et habilitation :
[PhD] Algèbres de Hopf graduées et fibrés plats sur les 3-variétés, Thèse de Doctorat (2001), pdf.
[HdR] Quantum invariants of 3-manifolds, TQFTs, and Hopf monads, Habilitation à Diriger des Recherches (2010), pdf.
Publications :
[1] Hopf group-coalgebras, J. Pure Appl. Algebra 171, (2002), 75-122, pdf.
[2] Involutory Hopf group-coalgebras and flat bundles over 3-manifolds, Fund. Math. 188 (2005), 241-270, pdf.
[3] Graded quantum groups and quasitriangular Hopf group-coalgebras, Comm. Algebra 33 (2005), 3029-3050, pdf.
[4] Hopf diagrams and quantum invariants (avec A. Bruguières), Algebr. Geom. Topol. 4 (2005), 1677-1710, pdf.
[5] Kirby elements and quantum invariants, Proc. London Math. Soc. 93 (2006), 474-514, pdf.
[6] Hopf monads (avec A. Bruguières), Advances in Math. 215 (2007), 679-733, pdf.
[7] Categorical centers and Reshetikhin-Turaev invariants (avec A. Bruguières),
Act. Math. Viet. 33 (2008), 255-277, pdf.
[8] Deux appendices : Algebraic properties of Hopf G-coalgebras (pdf) et Invariants of 3-dimensional G-manifolds from Hopf coalgebras (pdf), dans le livre Homotopy Quantum Field Theory (pdf), Tracts in Mathematics 10, (2010), 236-262.
[9] Quantum double of Hopf monads and categorical centers (avec A. Bruguières), Trans. Am. Math. Soc. 364 (2012), 1225-1279, pdf.
[10] Hopf monads on monoidal categories (avec A. Bruguières et S. Lack), Advances in Math. 227 (2011), 745-800, pdf.
[11] Traces on ideals in pivotal categories (avec N. Geer et B. Patureau-Mirand), Quantum Topol. 4 (2013), 91-124, pdf.
[12] On 3-dimensional Homotopy Quantum Field Theory, Part I (avec V. Turaev), Int. J. Math. 23 (2012), 01-28, pdf.
[13] On the center of fusion categories (avec A. Bruguières), Pacific J. Math. 264 (2013), 1-30, pdf.
[14] On the graded center of graded categories (avec V. Turaev), J. Pure Appl. Algebra 217 (2013), 1895-1941, pdf.
[15] The doubles of a braided Hopf algebra (avec A. Bruguières), Contemp. Math. 585 (2013), 175-197,
pdf.
[16] On 3-dimensional Homotopy Quantum Field Theory II: The surgery approach (avec V. Turaev), Int. J. Math. 25 (2014), 1-66, pdf.
[17] Monoidal Categories and Topological Field Theory (avec V. Turaev), livre de la série Progress in Mathematics, Vol. 322 (2017), Birkhauser, 523 pages, flyer.
Monograph recipient of the 2016 Ferran Sunyer i Balaguer Prize.
[18] Generalized Kuperberg invariants of 3-manifolds (avec R. Kashaev), Algebr. Geom. Topol. 19 (2019), 2575–2624, pdf.
[19] On 3-dimensional Homotopy Quantum Field Theory III: Comparison of two approaches (avec V. Turaev), Int. J. Math. 31 (2020), 1-57,
pdf.
En préparation :
- State sum invariants of combed 3-manifolds (avec G. Calimici)
- Monoidal categories graded by topological groups