Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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A FAMILY RESOLVENT COCYCLE AND HIGHER SPECTRAL FLOW

  • Sun, Aihui (School of Mathematics and Statistics Northeast Normal University) ;
  • Wang, Jian (School of Science Tianjin University of Technology and Education) ;
  • Wang, Yong (School of Mathematics and Statistics Northeast Normal University)
  • Received : 2016.07.17
  • Accepted : 2016.12.26
  • Published : 2017.07.31
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Abstract

In this paper, we introduce a family resolvent cocycle and express the Chern Character of Dai-Zhang higher spectral flow as a pairing of a family resolvent cocycle and the odd Chern character of a unitary matrix, which generalize the odd index formula of Carey et al. to the family case.

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References

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