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Localization in quadratic L-theory

A. L-Theory And Algebraic K-Theory

Part of the Lecture Notes in Mathematics book series (LNM,volume 741)

Keywords

  • Exact Sequence
  • Prime Ideal
  • Invariant Subgroup
  • Witt Group
  • Dedekind Ring

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References

  1. A.Bak K-theory of forms preprint (1978)

    Google Scholar 

  2. Surgery and K-theory groups of quadratic forms over finite groups and orders preprint (1978)

    Google Scholar 

  3. and W. Scharlau Grothendieck and Witt groups of orders and finite groups Invent. math. 23, 207–240 (1974)

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. H.Bass Algebraic K-theory Benjamin (1968)

    Google Scholar 

  5. Unitary algebraic K-theory in the Proceedings of the Battelle Seattle Conference on Algebraic K-theory, Vol. III, Springer Lecture Notes no.343, 57–265 (1973)

    MathSciNet  Google Scholar 

  6. G.Carlsson and R.J.Milgram Some exact sequences in the theory of Hermitian forms to appear in J. Pure and Applied Algebra

    Google Scholar 

  7. F.X. Connolly dinking forms and surgery Topology 12, 389–409 (1973)

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. M. Karoubi Localisation de formes quadratiques Ann. scient. Éc. Norm. Sup. (4) 7, 359–404 (1974)

    MathSciNet  MATH  Google Scholar 

  9. ibid. 8, 99–155 (1975)

    MATH  Google Scholar 

  10. J.Milnor and D.Husemoller Symmetric bilinear forms Springer (1973)

    Google Scholar 

  11. W.Pardon The exact sequence of a localization of Witt groups in the Proceedings of the Evanston Conference on Algebraic K-theory, Springer Lecture Notes no.551, 336–379 (1976)

    Google Scholar 

  12. Local surgery and the exact sequence of a localization for Wall groups A.M.S. Memoir no.196 (1977)

    Google Scholar 

  13. D.S. Passman and T. Petrie Surgery with coefficients in a field Ann. of Maths. 95, 385–405 (1972)

    CrossRef  MathSciNet  MATH  Google Scholar 

  14. A.A. Ranicki Algebraic L-theory Foundations Proc. London Math. Soc. (3) 27, 101–125 (1973)

    Google Scholar 

  15. Laurent extensions ibid., 126–158 (1973)

    CrossRef  MathSciNet  Google Scholar 

  16. Twisted Laurent extensions in the Proceedings of the Battelle Seattle Conference on algebraic K-theory, Vol. III, Springer Lecture Notes no.343, 412–463 (1973)

    Google Scholar 

  17. Polynomial extensions Comm. Math. Helv. 49, 137–167 (1974)

    CrossRef  MathSciNet  MATH  Google Scholar 

  18. The algebraic theory of surgery I. Foundations, II. Applications to topology to appear in Proc. London Math. Soc. other parts in preparation

    Google Scholar 

  19. R.W. Sharpe Surgery on compact manifolds: the bounded even-dimensional case Ann. of Maths. 98, 187–209 (1973)

    CrossRef  MathSciNet  MATH  Google Scholar 

  20. J.Smith Complements of codimension-two submanifolds III. Cobordism theory preprint (1977)

    Google Scholar 

  21. C.T.C. Wall Quadratic forms on finite groups and related topics Topology 2, 281–298 (1963)

    CrossRef  MathSciNet  MATH  Google Scholar 

  22. Surgery on non-simply-connected manifolds Ann. of Maths. 84, 217–276 (1966)

    CrossRef  MATH  Google Scholar 

  23. Surgery on compact manifolds Academic Press (1970)

    Google Scholar 

  24. Classification of Hermitian forms III. Complete semilocal rings Invent. math. 19, 59–71 (1973)

    CrossRef  MathSciNet  MATH  Google Scholar 

  25. Adele rings ibid. 23, 241–260 (1974)

    CrossRef  MathSciNet  MATH  Google Scholar 

  26. Global rings ibid. 261–288 (1974)

    CrossRef  MathSciNet  MATH  Google Scholar 

  27. Periodicity in algebraic L-theory in the Proceedings of the Tokyo Conference on Manifolds, 57–68 (1974).

    Google Scholar 

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© 1979 Springer-Verlag Berlin Heidelberg

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Ranicki, A. (1979). Localization in quadratic L-theory. In: Hoffman, P., Snaith, V. (eds) Algebraic Topology Waterloo 1978. Lecture Notes in Mathematics, vol 741. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062137

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  • DOI: https://doi.org/10.1007/BFb0062137

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  • Print ISBN: 978-3-540-09545-3

  • Online ISBN: 978-3-540-35009-5

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