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## Massuyeau, Gwénaël

Compute Distance To:
 Author ID: massuyeau.gwenael Published as: Massuyeau, Gwénaël
 Documents Indexed: 28 Publications since 2003 Reviewing Activity: 15 Reviews
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#### Co-Authors

 9 single-authored 4 Habiro, Kazuo 4 Turaev, Vladimir G. 3 Deloup, Florian L. 2 Florens, Vincent 2 Meilhan, Jean-Baptiste 1 Cheptea, Dorin 1 De Rodrigo, Juan Serrano 1 Kuno, Yusuke 1 Nichita, Florin Felix 1 Oancea, Alexandru 1 Sakasai, Takuya 1 Salamon, Dietmar Arno
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#### Serials

 3 Algebraic & Geometric Topology 2 Transactions of the American Mathematical Society 2 Journal of Knot Theory and its Ramifications 2 Geometry & Topology 1 Communications in Algebra 1 Annales de l’Institut Fourier 1 Bulletin de la Société Mathématique de France 1 Fundamenta Mathematicae 1 Geometriae Dedicata 1 Journal of Algebra 1 Journal of the London Mathematical Society. Second Series 1 Journal of Pure and Applied Algebra 1 Topology 1 IMRN. International Mathematics Research Notices 1 L’Enseignement Mathématique. 2e Série 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série 1 Annales Mathématiques Blaise Pascal 1 Journal of Noncommutative Geometry 1 Journal of Topology 1 Journal of Topology and Analysis 1 Quantum Topology
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#### Fields

 24 Manifolds and cell complexes (57-XX) 10 Group theory and generalizations (20-XX) 4 Nonassociative rings and algebras (17-XX) 3 Associative rings and algebras (16-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX)

#### Citations contained in zbMATH Open

24 Publications have been cited 133 times in 80 Documents Cited by Year
Infinitesimal Morita homomorphisms and the tree-level of the LMO invariant. (Homomorphismes de Morita infinitésimaux et réduction arborée de l’invariant LMO.) Zbl 1248.57009
Massuyeau, Gwénaël
2012
From mapping class groups to monoids of homology cobordisms: a survey. Zbl 1291.57002
Habiro, Kazuo; Massuyeau, Gwénaël
2012
A functorial LMO invariant for Lagrangian cobordisms. Zbl 1148.57017
Cheptea, Dorin; Habiro, Kazuo; Massuyeau, Gwénaël
2008
Quasi-Poisson structures on representation spaces of surfaces. Zbl 1298.53085
2014
Quadratic functions and complex spin structures on three-manifolds. Zbl 1071.57009
Deloup, Florian; Massuyeau, Gwénaël
2005
Symplectic Jacobi diagrams and the Lie algebra of homology cylinders. Zbl 1202.57014
Habiro, Kazuo; Massuyeau, Gwénaël
2009
Characterization of $$Y_ 2$$-equivalence for homology cylinders. Zbl 1065.57024
Massuyeau, Gwénaël; Meilhan, Jean-Baptiste
2003
Finite-type invariants of 3-manifolds and the dimension subgroup problem. Zbl 1129.57017
Massuyeau, Gwénaël
2007
Fox pairings and generalized Dehn twists. (Formes de Fox et twists de Dehn généralisés.) Zbl 1297.57005
2013
Spin Borromean surgeries. Zbl 1028.57017
Massuyeau, Gwénaël
2003
Reidemeister-Turaev torsion modulo one of rational homology threespheres. Zbl 1067.57007
Deloup, Florian; Massuyeau, Gwénaël
2003
Formal descriptions of Turaev’s loop operations. Zbl 1393.57016
Massuyeau, Gwénaël
2018
An introduction to the Abelian Reidemeister torsion of three-dimensional manifolds. (Une introduction à la torsion de Reidemeister abélienne des variétés de dimension trois.) Zbl 1218.57011
Massuyeau, Gwénaël
2011
Quadratic functions on torsion groups. Zbl 1072.15034
Deloup, Florian; Massuyeau, Gwénaël
2005
Yang-Baxter operators arising from algebra structures and the Alexander polynomial of knots. Zbl 1090.57009
Massuyeau, Gwénaël; Nichita, Florin F.
2005
Some finiteness properties for the Reidemeister-Turaev torsion of three-manifolds. Zbl 1229.57025
Massuyeau, Gwénaël
2010
Canonical extensions of Morita homomorphisms to the Ptolemy groupoid. Zbl 1246.57037
Massuyeau, Gwénaël
2012
Cohomology rings, Rochlin function, linking pairing and the Goussarov-Habiro theory of three-manifolds. Zbl 1056.57009
Massuyeau, Gwénaël
2003
Equivalence relations for homology cylinders and the core of the Casson invariant. Zbl 1283.57020
Massuyeau, Gwénaël; Meilhan, Jean-Baptiste
2013
Lefschetz fibrations, intersection numbers, and representations of the framed braid group. Zbl 1299.14006
Massuyeau, Gwénaël; Oancea, Alexandru; Salamon, Dietmar A.
2013
Splitting formulas for the LMO invariant of rational homology three-spheres. Zbl 1311.57020
Massuyeau, Gwénaël
2014
A functorial extension of the abelian Reidemeister torsions of three-manifolds. Zbl 1337.57036
Florens, Vincent; Massuyeau, Gwénaël
2015
Generalized Johnson homomorphisms for extended N-series. Zbl 1411.57035
Habiro, Kazuo; Massuyeau, Gwénaël
2018
Brackets in the Pontryagin algebras of manifolds. (Crochets dans les algèbres de Pontryagin des variétés.) Zbl 1416.17012
2017
Formal descriptions of Turaev’s loop operations. Zbl 1393.57016
Massuyeau, Gwénaël
2018
Generalized Johnson homomorphisms for extended N-series. Zbl 1411.57035
Habiro, Kazuo; Massuyeau, Gwénaël
2018
Brackets in the Pontryagin algebras of manifolds. (Crochets dans les algèbres de Pontryagin des variétés.) Zbl 1416.17012
2017
A functorial extension of the abelian Reidemeister torsions of three-manifolds. Zbl 1337.57036
Florens, Vincent; Massuyeau, Gwénaël
2015
Quasi-Poisson structures on representation spaces of surfaces. Zbl 1298.53085
2014
Splitting formulas for the LMO invariant of rational homology three-spheres. Zbl 1311.57020
Massuyeau, Gwénaël
2014
Fox pairings and generalized Dehn twists. (Formes de Fox et twists de Dehn généralisés.) Zbl 1297.57005
2013
Equivalence relations for homology cylinders and the core of the Casson invariant. Zbl 1283.57020
Massuyeau, Gwénaël; Meilhan, Jean-Baptiste
2013
Lefschetz fibrations, intersection numbers, and representations of the framed braid group. Zbl 1299.14006
Massuyeau, Gwénaël; Oancea, Alexandru; Salamon, Dietmar A.
2013
Infinitesimal Morita homomorphisms and the tree-level of the LMO invariant. (Homomorphismes de Morita infinitésimaux et réduction arborée de l’invariant LMO.) Zbl 1248.57009
Massuyeau, Gwénaël
2012
From mapping class groups to monoids of homology cobordisms: a survey. Zbl 1291.57002
Habiro, Kazuo; Massuyeau, Gwénaël
2012
Canonical extensions of Morita homomorphisms to the Ptolemy groupoid. Zbl 1246.57037
Massuyeau, Gwénaël
2012
An introduction to the Abelian Reidemeister torsion of three-dimensional manifolds. (Une introduction à la torsion de Reidemeister abélienne des variétés de dimension trois.) Zbl 1218.57011
Massuyeau, Gwénaël
2011
Some finiteness properties for the Reidemeister-Turaev torsion of three-manifolds. Zbl 1229.57025
Massuyeau, Gwénaël
2010
Symplectic Jacobi diagrams and the Lie algebra of homology cylinders. Zbl 1202.57014
Habiro, Kazuo; Massuyeau, Gwénaël
2009
A functorial LMO invariant for Lagrangian cobordisms. Zbl 1148.57017
Cheptea, Dorin; Habiro, Kazuo; Massuyeau, Gwénaël
2008
Finite-type invariants of 3-manifolds and the dimension subgroup problem. Zbl 1129.57017
Massuyeau, Gwénaël
2007
Quadratic functions and complex spin structures on three-manifolds. Zbl 1071.57009
Deloup, Florian; Massuyeau, Gwénaël
2005
Quadratic functions on torsion groups. Zbl 1072.15034
Deloup, Florian; Massuyeau, Gwénaël
2005
Yang-Baxter operators arising from algebra structures and the Alexander polynomial of knots. Zbl 1090.57009
Massuyeau, Gwénaël; Nichita, Florin F.
2005
Characterization of $$Y_ 2$$-equivalence for homology cylinders. Zbl 1065.57024
Massuyeau, Gwénaël; Meilhan, Jean-Baptiste
2003
Spin Borromean surgeries. Zbl 1028.57017
Massuyeau, Gwénaël
2003
Reidemeister-Turaev torsion modulo one of rational homology threespheres. Zbl 1067.57007
Deloup, Florian; Massuyeau, Gwénaël
2003
Cohomology rings, Rochlin function, linking pairing and the Goussarov-Habiro theory of three-manifolds. Zbl 1056.57009
Massuyeau, Gwénaël
2003
all top 5

#### Cited by 71 Authors

 13 Massuyeau, Gwénaël 7 Kuno, Yusuke 6 Meilhan, Jean-Baptiste 5 Kawazumi, Nariya 5 Sakasai, Takuya 5 Turaev, Vladimir G. 4 Deloup, Florian L. 4 Naef, Florian 3 Alekseev, Anton Yu. 3 Habiro, Kazuo 3 Nichita, Florin Felix 3 Suciu, Alexander I. 3 Wang, He 2 Bene, Alex James 2 Cheptea, Dorin 2 Conant, James 2 Florens, Vincent 2 Morita, Shigeyuki 2 Moussard, Delphine 2 Nosaka, Takefumi 2 Penner, Robert C. 2 Teichner, Peter 2 Tsuji, Shunsuke 2 Yasuhara, Akira 1 Andersen, Jørgen Ellegaard 1 Artal Bartolo, Enrique 1 Arthamonov, Semeon 1 Avan, Jean 1 Bellingeri, Paolo 1 Bigelow, Stephen J. 1 Blanchet, Christian 1 Boalch, Philip P. 1 Cattabriga, Alessia 1 Chemla, Sophie 1 Costantino, Francesco 1 Crowley, Diarmuid John 1 Darné, Jacques 1 Day, Matthew B. 1 Enomoto, Naoya 1 Fukuhara, Shinji 1 Geer, Nathan 1 Gervais, Sylvain 1 Gilmer, Patrick M. 1 Goda, Hiroshi 1 Goette, Sebastian 1 Golla, Marco 1 Iordănescu, Radu 1 Katsir, Ronen 1 Kitayama, Takahiro 1 Le, Thang Tu Quoc 1 Leray, Johan 1 Marengon, Marco 1 Masbaum, Gregor 1 Mochizuki, Atsushi 1 Monnier, Samuel 1 Mouquin, Victor 1 Nichita, Ion Mihail 1 Nicolaescu, Liviu I. 1 Nozaki, Yuta 1 Ovenhouse, Nicholas 1 Patureau-Mirand, Bertrand 1 Ragoucy, Eric 1 Rovi, Carmen 1 Rubtsov, Vladimir Nikolaevich 1 Satoh, Takao 1 Schneiderman, Rob 1 Schneiderman, Robert 1 Ševera, Pavol 1 Suzuki, Masaaki 1 Tadokoro, Yuuki 1 Yamamoto, Ryosuke
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#### Cited in 36 Serials

 11 Algebraic & Geometric Topology 6 Advances in Mathematics 5 Journal of Knot Theory and its Ramifications 4 Geometriae Dedicata 4 Journal of Pure and Applied Algebra 4 Journal of Topology and Analysis 3 Journal of Algebra 3 Topology and its Applications 3 Geometry & Topology 3 Axioms 2 Communications in Mathematical Physics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Journal of Geometry and Physics 2 Annales de l’Institut Fourier 2 Transactions of the American Mathematical Society 2 Annales Mathématiques Blaise Pascal 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Quantum Topology 1 Reviews in Mathematical Physics 1 Acta Mathematica Vietnamica 1 Inventiones Mathematicae 1 Journal of the Mathematical Society of Japan 1 Michigan Mathematical Journal 1 Osaka Journal of Mathematics 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Forum Mathematicum 1 Sugaku Expositions 1 Indagationes Mathematicae. New Series 1 Selecta Mathematica. New Series 1 Theory and Applications of Categories 1 Communications in Contemporary Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Noncommutative Geometry 1 Journal of Topology 1 European Journal of Mathematics 1 Winter Braids Lecture Notes
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#### Cited in 16 Fields

 59 Manifolds and cell complexes (57-XX) 27 Group theory and generalizations (20-XX) 20 Nonassociative rings and algebras (17-XX) 10 Associative rings and algebras (16-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Differential geometry (53-XX) 8 Algebraic topology (55-XX) 5 Algebraic geometry (14-XX) 5 Quantum theory (81-XX) 4 Number theory (11-XX) 4 Global analysis, analysis on manifolds (58-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX)