Splitting of the Family Index

  title={Splitting of the Family Index},
  author={Xianzhe Dai and Weiping Zhang},
We establish a general splitting formula for index bundles of families of Dirac type operators. Among the applications, our result provides a positive answer to a question of Bismut and Cheeger [BC2]. 
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Publications referenced by this paper.
Showing 1-10 of 15 references

A glueing formula for the η invariant

U. Bunke
J. Diff. Geom • 1995

The index of families of boundary value problems for Dirac operators

L. Nicolaescu
(see also the announcement in C. R. Acad. Sci. Paris, Serie I, • 1994

Elliptic boundary problems for Dirac operators

B. Booss, K. Wojciechowski
BaselBoston: Birkhauser, • 1993

Remarks on the index theorem for families of Dirac operators on manifolds with boundary

Bismut, J.-M, J. Cheeger
In: B. Lawson and K. Tenenblat (eds.) Differential Geometry, • 1992

Families index theorem for manifolds with boundary I, II

Bismut, J.-M, J. Cheeger
J. Funct. Anal., • 1990

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