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Cyclic homology of commutative algebras I

Part of the Lecture Notes in Mathematics book series (LNM,volume 1318)

Keywords

  • Exact Sequence
  • Chain Complex
  • Commutative Algebra
  • Total Complex
  • Cyclic Homology

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References

  1. Avramov L. and Halperin S.: Through the looking glass; A dictionary between rational homotopy theory and local algebra — Lecture Notes in Math. no. 1183, Springer-Verlag, pp. 1–31.

    Google Scholar 

  2. Brieskorn E.: Die Monodromie der isolierten Singularitäten von Hyperflächen. Manuscripta math. 2, pp. 103–161 (1970).

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. Burghelea D.: Cyclic homology of group rings. Comment. Math. Helv. Vol. 60, no. 3, (1985), pp. 354–365.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. Burghelea D.: Cyclic homology and the k-theory of Spaces I. Proc. Summer Institute on algebraic k-theory, Boulder, Colorado, 1983. — Contemporary Mathematics Vol. 55, Part. I — 1986, pp. 89–115.

    Google Scholar 

  5. Burghelea D. and Fiedorowicz Z.: Cyclic homology and algebraic k-theory of spaces II. Topology, Vol. 25, no. 3, 1986, pp. 303–317.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. Burghelea D. and Ogle C.: Künneth formula in cyclic homology. Math. Z. Vol. 183, no. 4, pp. 527–536.

    Google Scholar 

  7. Connes A.: Noncommutative differential geometry. Publications mathematiques — IHES, no. 62, 1986, pp. 41–144.

    Google Scholar 

  8. Feigin B. and Tzigan B.: Additive k-theory and cristaline cohomology (in Russian). Funct. analysis and its applications. T.19, V2, 1985, pp. 52–62.

    Google Scholar 

  9. Gerstenhaber M. and Schack S.D.: A Hodge-type decomposition for commutative algebra cohomology (preprint).

    Google Scholar 

  10. Goodwillie T.: Cyclic homology, derivations, and the free loop space, Topology, Vol. 24, (1985), pp. 187–215.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. Halperin S.: Lectures on minimal models, Mem. Soc. Math. France, no. 9/10, (1983).

    Google Scholar 

  12. Halperin S. and Stasheff J.: Obstructions to homotopy equivalences, Adv. in Math. Vol. 32, (1979), pp. 233–279.

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. Lehmann D.: Théorie homotopique des formes différentielles. Astérisque, Vol. 45, S.M.F. (1977).

    Google Scholar 

  14. Loday J.L. and Quillen D.: Cyclic homology and the Lie algebra homology of matrices. Comment. Math. Helv. Vol. 59, (1984), pp. 565–591.

    CrossRef  MathSciNet  MATH  Google Scholar 

  15. Sebastiani M.: Preuve d'une conjecture de Brieskorn. Manuscripta Math. 2, (1970), 301–308.

    CrossRef  MathSciNet  MATH  Google Scholar 

  16. Tate J.: Homology of noetherian rings and local rings, Illinois J. Math. Vol. 1, (1957), pp. 14–27.

    MathSciNet  MATH  Google Scholar 

  17. Vigué-Poirrier M. and Burghelea D.: A model for cyclic homology and algebraic k-theory of 1-connected topological spaces. Journ. of diff. geom. Vol. 22, (1985), pp. 243–253.

    MathSciNet  MATH  Google Scholar 

  18. Vigué-Poirrier M.: Sur l'algèbre de cohomologie cyclique d'un espace 1-connexe. Applications à la géojmetrie des variétés, à paraitre au Illinois J. of Math.

    Google Scholar 

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© 1988 Springer-Verlag

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Burghelea, D., Poirrier, M.V. (1988). Cyclic homology of commutative algebras I. In: Felix, Y. (eds) Algebraic Topology Rational Homotopy. Lecture Notes in Mathematics, vol 1318. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077794

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  • DOI: https://doi.org/10.1007/BFb0077794

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  • Print ISBN: 978-3-540-19340-1

  • Online ISBN: 978-3-540-39204-0

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