Realizing the analytic surgery group of Higson and Roe geometrically part III: higher invariants
Journal article, 2016

© 2016, Springer-Verlag Berlin Heidelberg. We construct an isomorphism between the geometric model and Higson-Roe’s analytic surgery group, reconciling the constructions in the previous papers in the series on “Realizing the analytic surgery group of Higson and Roe geometrically” with their analytic counterparts. Following work of Lott and Wahl, we construct a Chern character on the geometric model for the surgery group; it is a “delocalized Chern character”, from which Lott’s higher delocalized ρ-invariants can be retrieved. Following work of Piazza and Schick, we construct a geometric map from Stolz’ positive scalar curvature sequence to the geometric model of Higson-Roe’s analytic surgery exact sequence.

Author

R.J. Deeley

Magnus C H T Goffeng

Chalmers, Mathematical Sciences

University of Gothenburg

Mathematische Annalen

0025-5831 (ISSN) 1432-1807 (eISSN)

Vol. 366 3-4 1513-1559

Roots

Basic sciences

Subject Categories

Geometry

Mathematical Analysis

DOI

10.1007/s00208-016-1365-6

More information

Created

12/28/2017