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Determinant bundles, manifolds with boundary and surgery - MaRDI portal

Determinant bundles, manifolds with boundary and surgery (Q1924037)

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scientific article; zbMATH DE number 934334
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Determinant bundles, manifolds with boundary and surgery
scientific article; zbMATH DE number 934334

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    Determinant bundles, manifolds with boundary and surgery (English)
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    7 April 1997
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    The author extends some results of Quillen, Bismut and Freed to manifolds with boundary and also presents some surgery results for the local and global anomalies whenever a fibration \(\Psi:M\to B\) of closed manifolds defining a family of generalized Dirac operators is cut along a fibering hypersurface \(H\), producing two families of generalized Dirac operators on manifolds with boundary.
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    determinant bundles
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    Bismut-Freed connection
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    Dirac operators
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