Uniform K-theory, and Poincare duality for uniform K-homology

2018/08/23 by Engel, Alexander · 1 citation
#Differential Geometry (math.DG) #FOS: Mathematics #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.1808.07911

Abstract

We revisit Spakula's uniform K-homology, construct the external product for it and use this to deduce homotopy invariance of uniform K-homology. We define uniform K-theory and on manifolds of bounded geometry we give an interpretation of it via vector bundles of bounded geometry. We further construct a cap product with uniform K-homology and prove Poincare duality between uniform K-theory and uniform K-homology on spin-c manifolds of bounded geometry.

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• The relative index in coarse index theory and submanifold obstructions to uniform positive scalar curvature

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