Research papers
- with V. Turaev,
Fox pairings and generalized Dehn twists,
preprint (2011).
- with J.-B. Meilhan,
Equivalence relations for homology cylinders and the core of the Casson invariant,
preprint (2011).
- with A. Oancea
and D. Salamon,
Lefschetz fibrations, intersection numbers, and representations of the framed braid group,
preprint (2010).
-
Canonical extensions of Morita homomorphisms to the Ptolemy groupoid,
preprint (2010) to appear in Geom. Dedicata.
-
Infinitesimal Morita homomorphisms and the tree-level of the LMO invariant,
preprint (2008) to appear in Bull. Soc. Math. France.
- with K. Habiro,
Symplectic Jacobi diagrams and the Lie algebra of homology cylinders,
J. Topology 2:3 (2009) 527-569.
- with D. Cheptea and K. Habiro,
A functorial LMO invariant for Lagrangian cobordisms,
Geom. Topol. 12 (2008) 1091-1170.
-
Finite-type invariants of three-manifolds
and the dimension subgroup problem,
J. London Math. Soc. 75:3 (2007) 791-811.
-
Some finiteness properties for the Reidemeister-Turaev
torsion of three-manifolds,
J. Knot Th. Ramifications 19:3 (2010) 405-447.
- with F. Nichita,
Yang-Baxter operators arising from algebra structures
and the Alexander polynomial of knots,
Comm. Algebra 33:7 (2005) 2375-2385.
-
Cohomology rings, Rochlin function, linking pairing
and the Goussarov-Habiro theory of three-manifolds,
Algebr. Geom. Topol. 3 (2003) 1139-1166.
- with F. Deloup,
Quadratic functions and complex spin structures on 3-manifolds,
Topology 44:3 (2005) 509-555.
- with F. Deloup,
Quadratic functions on torsion groups,
J. Pure Applied Algebra 198:1-3 (2005) 105-121.
- with F. Deloup,
Reidemeister-Turaev torsion modulo one of rational homology three-spheres,
Geom. Topol. 7 (2003) 773-787.
- with J.-B. Meilhan,
Characterization of Y_2-equivalence for homology cylinders,
J. Knot Th. Ramifications 12:4 (2003) 493-522.
-
Spin Borromean surgeries,
Trans. Amer. Math. Soc. 355:10 (2003) 3991-4017.
Expository papers
- with K. Habiro,
From mapping class groups to monoids of homology cobordisms: a survey,
preprint (2010). To appear in the "Handbook of Teichmüller theory, vol. III'' (editor: A. Papadopoulos).
-
An introduction to the abelian Reidemeister torsion
of three-dimensional manifolds,
notes of a small course given at the autumn school "Tresses in Pau" (October 2009).
Ann. Math. Blaise Pascal 18:1 (2011) 61-140.
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