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Splitting of the family index

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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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Authors and Affiliations

  1. Department of Mathematics, University of Southern California, 90089, Los Angeles, CA, USA

    Xianzhe Dai

  2. Nankai Institute of Mathematics, 300071, Tianjin, P.R. China

    Weiping Zhang

Authors
  1. Xianzhe Dai
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  2. Weiping Zhang
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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

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