Jean-Baptiste Meilhan
Publications
Publications
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Universal invariants, the Conway polynomial and the Casson-Walker-Lescop invariantBulletin de la société mathématique de France, 2025, ⟨10.24033/bsmf.2903⟩ |
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k-reduced groups and Milnor invariantsMathematical Research Letters, 2025, 32 (1), pp.1-37. ⟨10.4310/MRL.250708013840⟩ |
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Characterization of the reduced peripheral system of linksJournal of the Institute of Mathematics of Jussieu, 2024, 23 (6), pp.2441-2459. ⟨10.1017/S1474748023000543⟩ |
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The classification of links up to clasp-pass movesCanadian Journal of Mathematics = Journal Canadien de Mathématiques, 2024, pp.1-30. ⟨10.4153/S0008414X25101211⟩ |
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Classification of $2$-component virtual links up to $\Xi$-movesFundamenta Mathematicae, 2023, 263 (3), pp.203-234. ⟨10.4064/fm168-10-2023⟩ |
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A linking invariant for algebraic curvesL'Enseignement Mathématique , 2020, 66 (1), pp.63-81. ⟨10.4171/LEM/66-1/2-4⟩ |
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Link concordances as surfaces in 4-space and the 4-dimensional Milnor invariantsIndiana University Mathematics Journal, 2019, ⟨10.1512/iumj.2022.71.9299⟩ |
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Arrow calculus for welded and classical linksAlgebraic and Geometric Topology, 2019, 19, pp.397-456. ⟨10.2140/agt.2019.19.397⟩ |
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Extensions of some classical local moves on knot diagramsMichigan Mathematical Journal, 2018, 67 (3), pp.647-672. ⟨10.1307/mmj/1531447373⟩ |
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On usual, virtual and welded knotted objects up to homotopyJournal of the Mathematical Society of Japan, 2017, 69 (3), pp.1079--1097. ⟨10.2969/jmsj/06931079⟩ |
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Riordan trees and the homotopy sl_2 weight systemJournal of Pure and Applied Algebra, 2017, 221 (3), pp. 691-706. ⟨10.1016/j.jpaa.2016.07.012⟩ |
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Homotopy classification of ribbon tubes and welded string linksAnnali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2017, 17 (2), pp.713-761. ⟨10.2422/2036-2145.201507_003⟩ |
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On codimension two embeddings up to link-homotopyJournal of topology, 2017, 10 (4), pp.1107-1123. ⟨10.1112/topo.12041⟩ |
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The universal sl_2 invariant and Milnor invariantsInternational Journal of Mathematics, 2016, 27 (11), ⟨10.1142/S0129167X16500907⟩ |
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Abelian quotients of the string link monoidAlgebraic and Geometric Topology, 2014, 14 (3), pp.1461-1488. ⟨10.2140/agt.2014.14.1461⟩ |
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Local moves for links with common sublinksTopology and its Applications, 2013, 160 (6), pp.836-843. ⟨10.1016/j.topol.2013.02.006⟩ |
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Equivalence relations for homology cylinders and the core of the Casson invariantTransactions of the American Mathematical Society, 2013, 365 (10), pp.5431-5502. ⟨10.1090/S0002-9947-2013-05818-7⟩ |
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Milnor invariants and the HOMFLYPT polynomialGeometry and Topology, 2012, 16 (2), pp.889-917. ⟨10.2140/gt.2012.16.889⟩ |
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Whitehead double and Milnor invariantsOsaka Journal of Mathematics, 2011, 48 (2), pp.371-381 |
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Characterization of finite type string link invariants of degree < 5Mathematical Proceedings of the Cambridge Philosophical Society, 2010, 148, pp.439-472 |
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Finite type invariants and fatgraphsAdvances in Mathematics, 2010, 225 (4), pp.2117-2161. ⟨10.1016/j.aim.2010.04.008⟩ |
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Finite type invariants and Milnor invariants for Brunnian linksInternational Journal of Mathematics, 2008, 19 (6), pp.747-766 |
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Borromean surgery formula for the Casson invariantAlgebraic and Geometric Topology, 2008, 8, pp.787-801 |
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On C_n-moves for linksPacific Journal of Mathematics, 2008, 238, pp.119-143 |
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On surgery along Brunnian links in 3-manifoldsAlgebraic and Geometric Topology, 2006, 6, pp.2417-2453 |
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Goussarov-Habiro theory for string links and the Milnor-Johnson correspondenceTopology and its Applications, 2006, 153 (14), pp.2709-2729 |
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On the Kontsevich integral of Brunnian linksAlgebraic and Geometric Topology, 2006, 6, pp.1399-1412 |
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On Vassiliev invariants of order two for string linksJournal of Knot Theory and Its Ramifications, 2005, 14 (5), pp.665-687 |
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Characterization of Y_2-equivalence for homology cylindersJ. Knot Th. Ramifications, 2003, 12 (4), pp.493-522 |
Situations de recherche pour la classe, pour le collège et le lycée... et au-delàIREM de Grenoble. , 2017, 2-9563381-0-2 |
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Welded graphs, Wirtinger groups and knotted punctured spheresEssays on Topology, Springer Nature Switzerland, pp.389-427, 2023, ⟨10.1007/978-3-031-81414-3_18⟩ |
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Linking number and Milnor invariantsColin Adams; Erica Flapan; Allison Henrich; Louis H. Kauffman; Lewis D. Ludwig; Sam Nelson. Encyclopedia of Knot Theory, Chapman and Hall/CRC, pp.817-830, 2021, 9781138298217. ⟨10.1201/9781138298217-96⟩ |
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On the classification of links up to finite typeTopology and physics, 12, World scientific Publishing, pp.138-150, 2008, Nankai Tracts in Mathematics |
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Invariants de type fini des cylindres d'homologie et des string linksMathématiques [math]. Université de Nantes, 2003. Français. ⟨NNT : ⟩ |
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Sur les invariants de noeuds et de variétés de dimension 3Mathématiques [math]. Université Grenoble Alpes, 2015 |