JB Meilhan / Papers Preprints Publications Thesis & Habilitation Other Writings

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                                                             jean-baptiste.meilhan ( at ) univ-grenoble-alpes.fr

Preprints

• Higher order Kirk invariants of link maps,
  with  B. Audoux and  A. Yasuhara (2023) | arXiv

• Welded graphs, Wirtinger groups and knotted punctured spheres, 
  with  B. Audoux and  A. Yasuhara (2023) | arXiv

• Milnor concordance invariants for surface-links and beyond,
  with  B. Audoux and  A. Yasuhara (2021) | arXiv | talk

• Universal invariants, the Conway polynomial and the Casson-Walker-Lescop invariant,
  with  A. Casejuane (2020) | arXiv
  

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    Publications

• k-reduced groups and Milnor invariants,
  with  B. Audoux and  A. Yasuhara, Math. Research Letters, to appear (2024) | arXiv
  

• Characterization of the reduced peripheral system of links,
  with  B. Audoux, J. Inst. Math. Jussieu, online 2024:1-19 (2024) | arXiv | journal | talk
  

• Classification of  2-component virtual links up to Ξ-moves,
  with  S. Satoh and K. Wada, Fundamenta Math. 263 (2023), 203-234 | arXiv | journal | pdf

• Linking coefficients and the Kontsevich integral, 
  Ann. Fac. Sci. Toulouse, to appear (2022) | arXiv
  

• On finite type invariants of welded string links and ribbon tubes,
  with  A. Casejuane, Tokyo J. Math, to appear (2022) | arXiv| journal
  

• Link concordances as surfaces in 4-space and the 4-dimensional Milnor invariants,
  with  A. Yasuhara, Indiana Univ. Math. J. 71 (2022) 2647-2669 | arXiv | journal
  

• A linking invariant for algebraic curves,
  with  B. Guerville-Ballé, l'Enseignement Math. 66 (2020) 63-81 | arXiv | journal | pdf
  

• Linking number and Milnor invariants,
  chapter for Encyclopedia of Knot Theory, C. Adam et al. Eds., Chapman & Hall/CRC (2021) | arXiv | book
  

• Arrow calculus for welded and classical links,
  with  A. Yasuhara, Alg. Geom. Topol. 19 (2019) 397-456 | arXiv | journal | pdf | talk by Akira
  

• On codimension two embeddings up to link-homotopy,
  with  B. Audoux and E. Wagner, J. Topology 10, No 4, 1107-1123 | arXiv | journal | pdf
  

• Extensions of some classical local moves on knot diagrams,
  with  B. Audoux,  P. Bellingeri and  E. Wagner, Michigan Math. J. 67 (2018) 647-672 | arXiv | journal | pdf
  

• Riordan trees and the homotopy sl2 weight system,
  with  S. Suzuki, J. Pure & Applied Algebra 221 (2017), No. 3, 691–706| arXiv | journal | pdf
  

• The universal sl2 invariant and Milnor invariants,
  with  S. Suzuki, Int. J. Math. 27, No 11 | arXiv | journal | pdf

• Homotopy classification of ribbon tubes and welded string links,
  with  B. Audoux,  P. Bellingeri and  E. Wagner, Ann. Sc. Norm. Sup. Pisa Cl. Sci. (5) Vol. XVII (2017), 713-761 | arXiv | journal | pdf
  

• On Usual, Virtual and Welded knotted objects up to homotopy,
  w./  B. Audoux,  P. Bellingeri and  E. Wagner, J. Math. Soc. Japan, Vol 69 (3), 1079--1097 | arXiv | journal | pdf

• Abelian quotients of the string link monoid,
  with  A. Yasuhara, Alg. Geom. Topol. 14 (2014) 1461–1488 | arXiv | journal | pdf
  

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

with G. Massuyeau, Trans. AMS 365 (2013), 5431–5502 | arXiv | journal | pdf

• Local moves for links with common sublinks,
  with E. Seida and  A. Yasuhara,Topology Appl. 160 (2013), No. 6, 836–843 | arXiv | journal | pdf

• Milnor invariants and the HOMFLYPT polynomial, 

with A. Yasuhara, Geometry & Topology 16 (2012) 889–917 | arXiv | journal | pdf

• Whitehead double and Milnor invariants,
  

with  A. Yasuhara, Osaka J. Math. 48 No. 2 (2011), 371–381 | arXiv | journal | pdf

• Finite type invariants and fatgraphs,
  with J.E. Andersen, A.J. Bene and R.C. Penner, Advances Math. 225 (2010), 2117–2161 | arXiv | journal | pdf

• Characterization of finite type string link invariants of degree <5,
  

with  A. Yasuhara Math. Proc. Camb. Phil. Soc. 148 (2010), 439–472 | arXiv | journal | pdf

• On the classification of links up to finite type,
  

with N. Habegger, in Topology and Physics, Proceedings of  the International conference in memory of X.S. Lin, World Sci. Publ. (2008), 138–150 | arXiv | book

• On Cn-moves for links,
  

with A. Yasuhara, Pacific J. Math. 238 (2008), 119–143 | journal | pdf

• Borromean surgery formula for the Casson invariant,
  

Alg. Geom. Topol. 8 (2008), 787–801| arXiv | journal | pdf

• Finite type invariants and Milnor invariants for Brunnian links,
  

with K. Habiro, Int. J. Math.19, No. 6 (2008), 747–766 | arXiv | journal | pdf

• On surgery along Brunnian links in 3-manifolds, 

Alg. Geom. Topol. 6 (2006), 2417–2453 | arXiv | journal | pdf

• On the Kontsevich integral of Brunnian links,

with K. Habiro, Alg. Geom. Topol. 6 (2006), 1399–1412 | arXiv | journal | pdf

• Goussarov-Habiro theory for string links and the Milnor-Johnson correspondence,
  

Topology Appl. 153 (2006), No. 14, 2709–2729 | arXiv | journal | pdf

• On Vassiliev invariants of order two for string links,
  

J. Knot Theory Ram. 14, No. 5 (2005), 665–687 | arXiv | journal | pdf

• Characterization of  Y2 -equivalence for homology cylinders,
  

with G. Massuyeau, J. Knot Theory Ram. 12, No. 4 (2003), 493–522 | arXiv | journal | pdf

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Thesis & Habilitation

• Invariants de type fini des cylindres d'homologie et des string-links,
  Thèse de Doctorat (2003), Université de Nantes | link
  

• Sur les invariants de noeuds et de variétés de dimension 3,
  Habilitation à Diriger des Recherches  (2015), Université Grenoble Alpes | pdf

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Other writings

• Finite type invariants of string links and the HOMFLYPT polynomial of knots, with A. Yasuhara,
  in Intelligence of Low-Dimensional Topology, RIMS Kôkyûroku 1716 (2010), 53-63 | dvi | journal
  Contribution to the Problem List which appears in the same volume of RIMS Kôkyûroku

• Although the tiltle remained unchanged, the first version (2010) of my paper Milnor invariants and the HOMFLYPT polynomial, with A. Yasuhara, is an almost entirely different paper. It contains some unpublished results (Section 4) - as well as a (much) weaker version of our main result

• Surgery on Brunnian links and finite type invariants of integral homology spheres,
  

in Intelligence of Low Dimensional Topology 2006, Series on Knots and Everything, World Scientific, Vol 40, 197-204 | ps | book (bonus: unwanted and unsolicited contribution to the cover illustrations)

• Borromean surgery and the Casson invariant,
  

in Intelligence in Low-Dimensional Topology 2005, Osaka (2005), 155-163 | pdf

• Vassiliev invariants of order two for string links,
  

in Topology of knots VII, Tokyo (2004), 165-172 | ps

• An old note on the Casson invariant and so-called Hopf-type surgeries (in french)
  

• You can find here several math education writings  (in french) - mostly teaching material for classes.

• Long time ago, I wrote several reviews for MathSciNet.
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Last modification :  09.20 by mTm