Functional Analysis and Its Applications

, Volume 22, Issue 3, pp 182–190 | Cite as

Braid group cohomologies and algorithm complexity

  • V. A. Vasil'ev


Functional Analysis Group Cohomology Algorithm Complexity Braid Group 
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Literature Cited

  1. 1.
    V. I. Arnol'd, "On some topological invariants of algebraic functions," Trudy MMO,21, 28–43 (1970).Google Scholar
  2. 2.
    V. I. Arnol'd, "The cohomology ring of the painted braid group," Mat. Zametki,5, No. 2, 227–231 (1969).Google Scholar
  3. 3.
    V. I. Arnol'd, "Topological invariants of algebraic functions. II," Funkts. Anal. Prilozhen.,4, No. 2, 1–9 (1970).Google Scholar
  4. 4.
    D. B. Fuks, "The mod 2 cohomologies of the braid group," Funkts. Anal. Prilozhen.,4, No. 2, 46–59 (1970).Google Scholar
  5. 5.
    N. H. Viet Hung, "The mod 2 cohomology algebras of symmetric groups," Acta Math. Vietnamica,6, No. 2, 41–48 (1981).Google Scholar
  6. 6.
    V. Ya. Lin, "On compositions of algebraic functions," Funkts. Anal. Prilozhen.,6, No. 3, 77–78 (1972).Google Scholar
  7. 7.
    A. S. Shvarts, "The genus of a vector bundle," Trudy MMO,10, 217–272 (1961).Google Scholar
  8. 8.
    S. Smale, "On the topology of algorithms. I," J. Complexity,4, No. 4, 81–89 (1987).Google Scholar
  9. 9.
    F. V. Vainshtein, "Cohomologies of braid groups," Funkts. Anal. Prilozhen.,12, No. 2, 72–73 (1978).Google Scholar
  10. 10.
    F. R. Cohen, T. Lada, and P. May, "The homology of iterated loop spaces," Springer, Lect. Notes Math.,533 (1976).Google Scholar

Copyright information

© Plenum Publishing Corporation 1989

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  • V. A. Vasil'ev

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