Research papers

- [30]
with K. Habiro,
*The Johnson-Morita theory for the handlebody group.*Preprint (2024), 64 pages.

- [29]
with Q. Faes,
*On the non-triviality of the torsion subgroup of the abelianized Johnson kernel.*Preprint (2022), 31 pages, to appear in Ann. Inst. Fourier.

- [28]
with D. Moussard,
*A splicing formula for the LMO invariant.*Canad. J. Math. 73:6 (2021) 1743-1770.

- [27]
with Y. Kuno,
*Generalized Dehn twists on surfaces and homology cylinders.*Algebr. Geom. Topol. 21 (2021) 697-754.

- [26]
with K. Habiro,
*Generalized Johnson homomorphisms for extended N-series.*J. Algebra 510 (2018) 205-258.

- [25]
with K. Habiro,
*The Kontsevich integral for bottom tangles in handlebodies.*Quantum Topol. 12:4 (2021) 593-703.

- [24]
with T. Sakasai,
*Morita's trace maps on the group of homology cobordisms.*J. Topol. Anal. 12:3 (2020) 775-818.

- [23]
with V. Florens
and J. Serrano de Rodrigo,
*A functorial extension of the Magnus representation to the category of three-dimensional cobordisms.*Fund. Math. 240 (2018) 221-263.

- [22]
*Formal descriptions of Turaev's loop operations.*Quantum Topol. 9 (2018) 39-117.

- [21]
with V. Turaev,
*Brackets in representation algebras of Hopf algebras.*J. Noncomm. Geom. 12:2 (2018) 577-636.

- [20]
with V. Florens,
*A functorial extension of the abelian Reidemeister torsions of three-manifolds.*Enseign. Math. 61:1/2 (2015) 161-210.

- [19]
*Splitting formulas for the LMO invariant of rational homology three-spheres.*Algebr. Geom. Topol. 14:6 (2014) 3553-3588.

- [18]
with V. Turaev,
*Brackets in the Pontryagin algebras of manifolds.*Mém. Soc. Math. France 154 (2017), 138 pages.

- [17]
with V. Turaev,
*Quasi-Poisson structures on representation spaces of surfaces.*Int. Math. Res. Not. 2014:1 (2014) 1-64.

- [16]
with V. Turaev,
*Fox pairings and generalized Dehn twists.*Ann. Inst. Fourier 63:6 (2013) 2403-2456.

- [15]
with J.-B. Meilhan,
*Equivalence relations for homology cylinders and the core of the Casson invariant.*Trans. Amer. Math. Soc. 365:10 (2013) 5431-5502.

- [14]
with A. Oancea
and D. Salamon,
*Lefschetz fibrations, intersection numbers, and representations of the framed braid group.*Bull. Math. Soc. Sci. Math. Roumanie 56(104):4 (2013) 435-486.

- [13]
*Canonical extensions of Morita homomorphisms to the Ptolemy groupoid.*Geom. Dedicata 158:1 (2012) 365-395.

- [12]
*Infinitesimal Morita homomorphisms and the tree-level of the LMO invariant.*Bull. Soc. Math. France 140:1 (2012) 101-161.

- [11]
with K. Habiro,
*Symplectic Jacobi diagrams and the Lie algebra of homology cylinders.*J. Topology 2:3 (2009) 527-569.

- [10]
with D. Cheptea and K. Habiro,
*A functorial LMO invariant for Lagrangian cobordisms.*Geom. Topol. 12 (2008) 1091-1170.

- [9]
*Finite-type invariants of three-manifolds and the dimension subgroup problem.*J. London Math. Soc. 75:3 (2007) 791-811.

- [8]
*Some finiteness properties for the Reidemeister-Turaev torsion of three-manifolds.*J. Knot Th. Ramifications 19:3 (2010) 405-447.

- [7]
with F. Nichita,
*Yang-Baxter operators arising from algebra structures and the Alexander polynomial of knots.*Comm. Algebra 33:7 (2005) 2375-2385.

- [6]
*Cohomology rings, Rochlin function, linking pairing and the Goussarov-Habiro theory of three-manifolds.*Algebr. Geom. Topol. 3 (2003) 1139-1166.

- [5]
with F. Deloup,
*Quadratic functions and complex spin structures on 3-manifolds.*Topology 44:3 (2005) 509-555.

- [4]
with F. Deloup,
*Quadratic functions on torsion groups.*J. Pure Applied Algebra 198:1-3 (2005) 105-121.

- [3]
with F. Deloup,
*Reidemeister-Turaev torsion modulo one of rational homology three-spheres.*Geom. Topol. 7 (2003) 773-787.

- [2]
with J.-B. Meilhan,
*Characterization of Y_2-equivalence for homology cylinders.*J. Knot Th. Ramifications 12:4 (2003) 493-522.

- [1]
*Spin Borromean surgeries.*Trans. Amer. Math. Soc. 355:10 (2003) 3991-4017.

Expository papers

- [d]
*Surgery equivalence relations for 3-manifolds*. Winter Braids Lecture Notes, Tome 8 (2021), Exposé no. 1, 41 pages.

- [c]
with Y. Kuno and S. Tsuji,
*Generalized Dehn twists in low-dimensional topology.*Topology and Geometry: A Collection of Essays Dedicated to Vladimir G. Turaev, 357-398. Ed. A. Papadopoulos, IRMA Lect. Math. Theor. Phys. 33, Eur. Math. Soc., Berlin, 2021. - [b]
with K. Habiro,
*From mapping class groups to monoids of homology cobordisms: a survey.*Handbook of Teichmüller theory, Volume III, 465-529. Ed. A. Papadopoulos, IRMA Lect. Math. Theor. Phys. 17, Eur. Math. Soc., Zürich, 2012.

- [a]
*An introduction to the abelian Reidemeister torsion of three-dimensional manifolds*. Ann. Math. Blaise Pascal 18:1 (2011) 61-140. (Notes of a mini-course given at "*Tresses in Pau*" in October 2009.)

Dissertations

- [ii]
*Some aspects of the theory of finite-type invariants in three-dimensional topology.*H.D.R. dissertation, University of Strasbourg, 2012.

- [i]
*Finite type invariants of three-dimensional manifolds and spin structures.*Ph.D. dissertation, University of Nantes, 2002.

Other texts

- [β]
*Commentaire : Ω_3=0 chez René Thom*. Oeuvres mathématiques de René Thom. Volume I, 93-94. Documents Math., 15, Soc. Math. France, Paris, 2017.

- [α]
*Equivalence relations on three-dimensional manifolds defined by subgroups of the Torelli group & the core of the Casson invariant*. Oberwolfach Reports 7:4 (2010) 3147-3149. (Short report on the paper [15] with J.-B. Meilhan.)

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