Topological invariance of the Witten index (Q1105822)
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scientific article; zbMATH DE number 4060149
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Topological invariance of the Witten index |
scientific article; zbMATH DE number 4060149 |
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Topological invariance of the Witten index (English)
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1988
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The index of an operator A is defined by \(ind(A)=\dim (Ker(A))-\dim (Ker(A\) *)). The Witten index is defined by \[ ind_ t(A)=tr(e^{- tA\quad *A}-e^{-tAA\quad *}). \] It is known that \(ind(A+C)=ind(A)\), if C is compact. It is proved that \[ ind_ t(A+C)=ind_ t(A) \] for a large class of C.
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Witten index
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