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arxiv: 1808.07911 · v1 · pith:OHVRSSA2new · submitted 2018-08-23 · 🧮 math.KT · math.DG

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

classification 🧮 math.KT math.DG
keywords uniformk-homologyboundedgeometryk-theoryconstructdualitymanifolds
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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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