[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.b160601

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)

Publication Information

Bulletin of the Korean Mathematical Society / v.54, no.4, 2017 , pp. 1387-1407 More about this Journal

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;

Citations & Related Records

Reference

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