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A survey of K-theory

Part of the Lecture Notes in Mathematics book series (LNM,volume 575)

Keywords

  • Vector Bundle
  • Elliptic Operator
  • Fredholm Operator
  • Index Theorem
  • Coherent Sheave

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References

  1. M.F. Atiyah, K-Theory, Benjamin, 1967.

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  2. _____, Global theory of elliptic operators, Functional Analysis and related topics, University of Tokyo, 1967.

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  3. _____ and F. Hirzebruch, The Riemann-Roch theorem for analytic embeddings, Topology 1 (1962), 151–166.

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  4. _____ and I.M. Singer, The index of elliptic operators I, Ann. of Math. 87 (1968), 484–530.

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  5. _____, The index of elliptic operators III, Ann. of Math. 87 (1968), 546–604.

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  6. _____, The index of elliptic operators IV, Ann. of Math. 93 (1971), 119–138.

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  7. P. Baum and Macpherson (to appear).

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  8. J.W. Helton and R. Howe, Integral operators: commutators, traces, index and homology, Springer Lecture Notes No. 345, p. 141–209.

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  9. G.G. Kasparov, Generalized index of elliptic operators, Functional Analysis 7 (1973), 82–83.

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© 1977 Springer-Verlag Berlin · Heidelberg

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Atiyah, M.F. (1977). A survey of K-theory. In: Morrel, B.B., Singer, I.M. (eds) K-Theory and Operator Algebras. Lecture Notes in Mathematics, vol 575. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0095697

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  • DOI: https://doi.org/10.1007/BFb0095697

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08133-3

  • Online ISBN: 978-3-540-37423-7

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