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

By Carvalho C.

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Nicolaescu, L. : On the cobordism invariance of the index of Dirac operators, Proc. Am. Math. 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.

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. Soc. 130(4) (2002), 1095–1101. : Index theorem for equivariant Dirac operators on non-compact manifolds, K-Theory 27(1) (2002), 61–101. , Guillemin, V. : Moment Maps, Cobordisms, and Hamiltonian Group Actions, Mathematical Surveys and Monographs, 98. American Mathematical Society, Providence, RI, 2002. : A note on the cobordism invariance of the index, Topology 30(3) (1991), 439–443.

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.

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