Mathematics - K-Theory and HomologyMathematics - Operator AlgebrasWe 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"...
Goffeng, Realizing the analytic surgery group of Higson and Roe geo- metrically, Part I: The geometric model, arXiv:1308.5990.R. J. Deeley, M. Goffeng, Realizing the analytic surgery group of Higson and Roe geometri- cally, Part I: The geometric model. arXiv:1308.5990....
Realizing the analytic surgery group of Higson and Roe geometrically part II: relative \\(\\eta \\)-invariantsMathematics - K-Theory and HomologyMathematics - Operator AlgebrasIndex maps taking value in the $K$-theory of a mapping cone are defined and discussed. The resulting index theorem can...