Details

Autor(en) / Beteiligte

• Kubota, Yosuke

Titel

The relative Mishchenko–Fomenko higher index and almost flat bundles. I. The relative Mishchenko–Fomenko index

Ist Teil von

• Journal of noncommutative geometry, 2020-01, Vol.14 (3), p.1209-1244

Ort / Verlag

Zuerich, Switzerland: European Mathematical Society Publishing House

Erscheinungsjahr

2020

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• 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.