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- W3097234574 abstract "In this paper, the first of two, we introduce an alternative definition of the Chang–Weinberger–Yu relative higher index, which is thought of as a relative analogue of the Mishchenko–Fomenko index pairing. A main result of this paper is that our map coincides with the existing relative higher index maps. We make use of this fact for understanding the relative higher index. First, we relate the relative higher index with the higher index of the corresponding amalgamated free product group. Second, we define the dual relative higher index map and show its rational surjectivity under certain assumptions." @default.
- W3097234574 created "2020-11-09" @default.
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- W3097234574 date "2020-11-03" @default.
- W3097234574 modified "2023-09-23" @default.
- W3097234574 title "The relative Mishchenko–Fomenko higher index and almost flat bundles. I. The relative Mishchenko–Fomenko index" @default.
- W3097234574 doi "https://doi.org/10.4171/jncg/391" @default.
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