A family resolvent cocycle and higher spectral flow
Bull. Korean Math. Soc. 2017 Vol. 54, No. 4, 1387-1407
https://doi.org/10.4134/BKMS.b160601
Published online July 31, 2017
Aihui Sun, Jian Wang, and Yong Wang
Northeast Normal University, Tianjin University of Technology and Education, Northeast Normal University
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.
Keywords : family resolvent cocycle, higher spectral flow
MSC numbers : 58B30, 46L87
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