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An introduction to the abelian Reidemeister torsion of three-dimensional manifolds

Gwenael Massuyeau
Annales Mathématiques Blaise Pascal, 2011, 18 (1), pp.61-140
Journal articles hal-00463747v1

Symplectic Jacobi diagrams and the Lie algebra of homology cylinders

Kazuo Habiro , Gwenael Massuyeau
J. Topology, 2009, 2 (3), pp.527-569
Journal articles hal-00193555v1

Yang-Baxter operators arising from algebra structures and the Alexander polynomial of knots

Gwenael Massuyeau , Florin F. Nichita
Commun. Algebra, 2005, 33 (7), pp.2375-2385
Journal articles hal-00135206v1

Equivalence relations for homology cylinders and the core of the Casson invariant

Gwenael Massuyeau , Jean-Baptiste Meilhan
Transactions of the American Mathematical Society, 2013, 365 (10), pp.5431-5502. ⟨10.1090/S0002-9947-2013-05818-7⟩
Journal articles hal-00586154v1

Canonical extensions of Morita homomorphisms to the Ptolemy groupoid

Gwenael Massuyeau
Geometriae Dedicata, 2012, 158 (1), pp.365-395. ⟨10.1007/s10711-011-9640-x⟩
Journal articles hal-00489771v1

Quasi-Poisson structures on representation spaces of surfaces

Gwenael Massuyeau , Vladimir Turaev
International Mathematics Research Notices, 2014, 2014 (1), pp.1-64. ⟨10.1093/imrn/rns215⟩
Journal articles hal-00700436v1

Reidemeister-Turaev torsion modulo one of rational homology three-spheres

Florian Deloup , Gwenael Massuyeau
Geom. Topol., 2003, 7, pp.773-787
Journal articles hal-00135199v1

Cohomology rings, Rochlin function, linking pairing and the Goussarov-Habiro theory of three-manifolds

Gwenael Massuyeau
Algebr. Geom. Topol., 2003, 3, pp.1139-1166
Journal articles hal-00135203v1

Lefschetz fibrations, intersection numbers, and representations of the framed braid group

Gwenael Massuyeau , Alexandru Oancea , Dietmar A. Salamon
Bull. Math. Soc. Sci. Math. Roumanie, 2013, 56 (4), pp.435-486
Journal articles hal-00168428v1

Generalized Johnson homomorphisms for extended N-series

Kazuo Habiro , Gwénaël Massuyeau
Journal of Algebra, 2018, 510, pp.205-258. ⟨10.1016/j.jalgebra.2018.05.031⟩
Journal articles hal-01568278v1

Morita's trace maps on the group of homology cobordisms

Gwenael Massuyeau , Takuya Sakasai
Journal of Topology and Analysis, 2020, 12 (3), pp.775-818. ⟨10.1142/S179352531950064X⟩
Journal articles hal-01338149v1

The Kontsevich integral for bottom tangles in handlebodies

Kazuo Habiro , Gwénaël Massuyeau
Quantum Topology, 2021, 12 (4), pp.593-703. ⟨10.4171/QT/155⟩
Journal articles hal-03468292v1

Splitting formulas for the LMO invariant of rational homology three-spheres

Gwenael Massuyeau
Algebraic and Geometric Topology, 2014, 14 (6), pp.3553-3588. ⟨10.2140/agt.2014.14.3553⟩
Journal articles hal-00863492v1
Image document

Quelques aspects de la théorie des invariants de type fini en topologie de dimension trois

Gwénaël Massuyeau
Geometric Topology [math.GT]. Université de Strasbourg, 2012
Habilitation à diriger des recherches tel-00734378v3
Image document

Exposition : Mathématiciens bourguignons et livres rares

Hervé Le Ferrand , Gwénaël Massuyeau , Noémie Perrin
2020
Other publications hal-02968348v1

Generalized Dehn twists on surfaces and homology cylinders

Yusuke Kuno , Gwénaël Massuyeau
Algebraic and Geometric Topology, 2021, 21 (2), pp.697-754. ⟨10.2140/agt.2021.21.697⟩
Journal articles hal-02011582v1

A functorial LMO invariant for Lagrangian cobordisms

Dorin Cheptea , Kazuo Habiro , Gwenael Massuyeau
Geometry and Topology, 2008, 12, pp.1091-1170
Journal articles hal-00135215v1

Some finiteness properties for the Reidemeister-Turaev torsion of three-manifolds

Gwenael Massuyeau
Journal of Knot Theory and Its Ramifications, 2010, 19 (3), pp.405-447. ⟨10.1142/S0218216510007899⟩
Journal articles hal-00135209v1

Finite-type invariants of three-manifolds and the dimension subgroup problem

Gwenael Massuyeau
J. London Math. Society, 2007, 75 (3), pp.791-811
Journal articles hal-00135211v1

Spin Borromean surgeries

Gwenael Massuyeau
Trans. Amer. Math. Soc., 2003, 355 (10), pp.3991-4017
Journal articles hal-00135052v1

On the non-triviality of the torsion subgroup of the abelianized Johnson kernel

Quentin Faes , Gwénaël Massuyeau
2022
Preprints, Working Papers, ... hal-03788770v1

A functorial extension of the Magnus representation to the category of three-dimensional cobordisms

Vincent Florens , Gwenael Massuyeau , Juan Serrano de Rodrigo
Fundamenta Mathematicae, 2018, 240 (3), pp.221-263. ⟨10.4064/fm293-1-2017⟩
Journal articles hal-01307088v1

Brackets in Pontryagin algebras of manifolds

Gwenael Massuyeau , Vladimir Turaev
Mémoires de la Société Mathématique de France, 2017, 154, ⟨10.24033/msmf.462⟩
Journal articles hal-00853982v1

Formal descriptions of Turaev's loop operations

Gwenael Massuyeau
Quantum Topology, 2018, 9 (1), pp.39-117. ⟨10.4171/QT/103⟩
Journal articles hal-01228376v1
Image document

Invariants de type fini des variétés de dimension trois et structures spinorielles

Gwénaël Massuyeau
Mathématiques [math]. Université de Nantes, 2002. Français. ⟨NNT : ⟩
Theses tel-00001919v1

Characterization of Y_2-equivalence for homology cylinders

Gwenael Massuyeau , Jean-Baptiste Meilhan
J. Knot Th. Ramifications, 2003, 12 (4), pp.493-522
Journal articles hal-00135057v1

Fox pairings and generalized Dehn twists

Gwenael Massuyeau , Vladimir Turaev
Annales de l'Institut Fourier, 2013, 63 (6), pp.2403-2456. ⟨10.5802/aif.2834⟩
Journal articles hal-00626759v1

Quadratic functions on torsion groups

Florian Deloup , Gwenael Massuyeau
J. Pure Applied Algebra, 2005, 198 (1-3), pp.105-121
Journal articles hal-00135197v1

Brackets in representation algebras of Hopf algebras

Gwenael Massuyeau , Vladimir Turaev
Journal of Noncommutative Geometry, 2018, 12 (2), pp.577-636. ⟨10.4171/JNCG/286⟩
Journal articles hal-01189019v1

Generalized Dehn twists in low-dimensional topology

Yusuke Kuno , Gwénaël Massuyeau , Shunsuke Tsuji
A. Papadopoulos. Topology and Geometry: A Collection of Essays Dedicated to Vladimir G. Turaev, 33, European Mathematical Society, pp.357-398, 2021, 978-3-98547-501-8
Book sections hal-02300028v1