New proof of the cobordism invariance of the index (Q2781257)

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scientific article; zbMATH DE number 1721004
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New proof of the cobordism invariance of the index
scientific article; zbMATH DE number 1721004

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    New proof of the cobordism invariance of the index (English)
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    19 March 2002
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    selfadjoint hypo-elliptic pseudo-differential operator
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    Dirac operator
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    model operator
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    Hermitian vector bundle
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    The author presents an another simple proof of the cobordism invariance of the index based on a Witten-type deformation of an extension of the operator to a complete Riemannian manifold. His approach allows to treat directly general elliptic operators which are not of Dirac type.
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