A K-Theory Proof of the Cobordism Invariance of the Index by Carvalho C.

By Carvalho C.

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2. : K-theory. Benjamin, New York, 1967. Atiyah, M. : The index of elliptic operators on compact manifolds, Bull. Am. Math. Soc. 69 (1963), 422–433. 3. Atiyah, M. : The index of elliptic operators I, Ann. Math. 87 (1968), 484–530. K-THEORY PROOF OF THE COBORDISM INVARIANCE 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 31 Atiyah, M. : The index of elliptic operators IV, Ann. Math. 93 (1971), 119–138. : New proof of the cobordism invariance of the index, Proc. Am. Math.

125(9) (1997), 2797–2801. Palais, R. ): Seminar on the Atiyah-Singer Index Theorem. Annals of Math. Studies, 57. Princeton University Press, Princeton, New Jersey, 1965. Shubin, M. : Pseudodifferential Operators and Spectral Theory, Springer-Verlag, Berlin, Heidelberg, 2001. : Pseudodifferential Operators, Princeton Mathematical Series 34, Princeton University Press, Princeton, New Jersey, 1981. : Introduction to Pseudodifferential and Fourier Integral Operators, Plenum Press, New York, 1980. : Differential Analysis on Complex Manifolds, Springer-Verlag, New York, 1980.

Soc. 125(9) (1997), 2797–2801. Palais, R. ): Seminar on the Atiyah-Singer Index Theorem. Annals of Math. Studies, 57. Princeton University Press, Princeton, New Jersey, 1965. Shubin, M. : Pseudodifferential Operators and Spectral Theory, Springer-Verlag, Berlin, Heidelberg, 2001. : Pseudodifferential Operators, Princeton Mathematical Series 34, Princeton University Press, Princeton, New Jersey, 1981. : Introduction to Pseudodifferential and Fourier Integral Operators, Plenum Press, New York, 1980.

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