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Sur les groupes de tresses [d'après V. I. Arnol'd]

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Séminaire Bourbaki vol. 1971/72 Exposés 400–417

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Bibliographie

  1. V. I. ARNOL'D-Remark on the Branching of Hyperelliptic Integrals as Functions of the Parameters, Functional Anal. Appl., 2 (1968), p. 187–189.

    Article  MATH  Google Scholar 

  2. V. I. ARNOL'D-The Cohomology Ring of the Colored Braid Group, Math. Notes of the Academy of Sci. of the USSR, 5 (1969), p. 138–140.

    Article  MATH  Google Scholar 

  3. V. I. ARNOL'D-O nektoryh topologičeskih invariantah algebraičeskih funkcii, (Sur quelques invariants topologiques de fonctions algébriques), Trudy Moskovskogo Matematičeskogo Obščestva, 21 (1970), p. 27–46.

    MATH  Google Scholar 

  4. V. I. ARNOL'D-Topological Invariants of Algebraic Functions II, Functional Anal. Appl., 4 (1970), p. 91–98.

    Article  MATH  Google Scholar 

  5. V. I. ARNOL'D-Cohomology Classes of Algebraic Functions Invariant under Tschirnhausen Transformations, Functional Anal. Appl., 4 (1970), p. 74–75.

    Article  MATH  Google Scholar 

  6. V. I. ARNOL'D-O matricah, zavisjaščih ot parametrov, (Sur des matrices qui dépendent de paramètres), Uspehi matematičeskih nauk, 26 (1971), p. 101–114.

    Google Scholar 

  7. E. ARTIN-Theorie der Zöpfe, Hamb. Abh., 4 (1925), p. 47–72.

    Article  MATH  Google Scholar 

  8. E. ARTIN-Theory of Braids, Annals of Math., 48 (1947), p. 101–126.

    Article  MathSciNet  MATH  Google Scholar 

  9. M. ARTIN-Some Numerical Criteria for Contractibility of Curves on Algebraic surfaces, Amer. J. Math., 84 (1962), p. 485–496.

    Article  MathSciNet  MATH  Google Scholar 

  10. N. BOURBAKI-Groupes et algèbres de Lie, chapitres 4, 5 et 6, Eléments de mathématique XXXIV, Hermann, Paris, 1968.

    MATH  Google Scholar 

  11. E. BRIESKORN-Die Fundamentalgruppe des Raumes der regulären Orbits einer endlichen komplexen Spiegelungsgruppe, Invent. Math., 12 (1971), p. 57–61.

    Article  MathSciNet  MATH  Google Scholar 

  12. E. BRIESKORN-Singular Elements of Semisimple Algebraic Groups, Comptes Rendus du Congrès International des mathématiciens, Nice 1970.

    Google Scholar 

  13. R. H. FOX, L. NEUWIRTH-The Braid Groups, Math. Scand., 10 (1962), p. 119–126.

    MathSciNet  MATH  Google Scholar 

  14. D. B. FUKS-Cohomologies of the Braid Groups mod. 2, Functional Anal. Appl., 4 (1970), p. 143–151.

    Article  MATH  Google Scholar 

  15. F. A. GARSIDE-The Braid Group and other Groups, Quart. J. Math. Oxford, 2. Ser. 20 (1969), p. 235–254.

    Article  MathSciNet  Google Scholar 

  16. N. IWAHORI-On the Structure of a Hecke Ring of a Chevalley Group over a Finite Field, J. Fac. Sci. Univ. Tokyo, Sect. I, 10 (1963/64), p. 215–236.

    MathSciNet  Google Scholar 

  17. LÊ DŨNG TRÁNG-Un théorème de Zariski du type de Lefschetz, Preprint, Centre de Mathématique de l'Ecole Polytechnique, Paris, 1971.

    Google Scholar 

  18. L. SOLOMON-Invariants of Finite Reflection Groups, Nagoya Math. J., 22 (1963), p. 57–64.

    MathSciNet  MATH  Google Scholar 

  19. L. SOLOMON-The Orders of the Finite Chevalley Groups, J. Algebra, 3 (1966), p. 376–393.

    Article  MathSciNet  MATH  Google Scholar 

  20. A. N. VARCHENKO-On the Bifurcation of Multiple Integrals Depending on a Parameter, Functional Anal. Appl., 3 (1969), p. 322–324.

    Article  MATH  Google Scholar 

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A. Dold B. Eckmann

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© 1973 N. Bourbaki

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Brieskorn, E. (1973). Sur les groupes de tresses [d'après V. I. Arnol'd]. In: Dold, A., Eckmann, B. (eds) Séminaire Bourbaki vol. 1971/72 Exposés 400–417. Lecture Notes in Mathematics, vol 317. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069274

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  • DOI: https://doi.org/10.1007/BFb0069274

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  • Print ISBN: 978-3-540-06179-3

  • Online ISBN: 978-3-540-38403-8

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