New proof of the cobordism invariance of the index (Q2781257)
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scientific article; zbMATH DE number 1721004
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | 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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