Realizing the analytic surgery group of Higson and Roe geometrically part II: relative η -invariants
Artikel i vetenskaplig tidskrift, 2016
We apply the geometric analog of the analytic surgery group of Higson and Roe to the relative η-invariant. In particular, by solving a Baum–Douglas type index problem, we give a “geometric” proof of a result of Keswani regarding the homotopy invariance of relative η-invariants. The starting point for this work is our previous constructions in “Realizing the analytic surgery group of Higson and Roe geometrically, Part I: The geometric model”.
Författare
R.J. Deeley
University of Hawaii
Magnus C H T Goffeng
Leibniz Universität Hannover
Publicerad i
Mathematische Annalen
0025-5831 (ISSN) 1432-1807 (eISSN)
Vol. 366 Nummer/häfte 3-4 s. 1319-1363Kategorisering
Fundament
Grundläggande vetenskaper
Ämneskategorier (SSIF 2011)
Geometri
Matematisk analys
Identifikatorer
DOI
10.1007/s00208-016-1364-7