Wrong way maps in uniformly finite homology and homology of groups

Alexander Engel

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arXiv · 1602.03374

Wrong way maps in uniformly finite homology and homology of groups

Alexander Engel

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Abstract

Given a non-compact Riemannian manifold M and a submanifold N of codimension q, we will construct under certain assumptions on both M and N a wrong way map in uniformly finite homology. Using an equivariant version of the construction and applying it to universal covers, we will construct wrong way maps in homology of groups. As applications we discuss obstructions against positive scalar curvature metrics and against inessentialness.

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BibTeX RIS

Alexander Engel. 2016-02-10. Wrong way maps in uniformly finite homology and homology of groups. https://arxiv.org/abs/1602.03374

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