Abstract
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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Communicated by S.-T. Yau
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Dai, X., Zhang, W. Splitting of the family index. Commun.Math. Phys. 182, 303–317 (1996). https://doi.org/10.1007/BF02517892
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DOI: https://doi.org/10.1007/BF02517892