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Homological Calculations with the Analytic Structure Group

Paul Siegel

出版	Pennsylvania State University, 2012
URL	http://books.google.com.hk/books?id=vtCxAQAACAAJ&hl=&source=gbs_api

註釋

We build a Mayer-Vietoris sequence for the analytic structure group defined by Higson and Roe and use it to give a new proof of and generalizations of Roe's partitioned manifold index theorem. We give applications of the generalized partitioned manifold index theorem to the theory of positive scalar curvature invariants. Finally, we construct an analogue of the Kasparov product for the analytic structure group and examine how positive scalar curvature invariants behave with respect to this product.