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- Title
Wrong way maps in uniformly finite homology and homology of groups.
- Authors
Engel, Alexander
- Abstract
Given a non-compact Riemannian manifold M and a submanifold N↪M<inline-graphic></inline-graphic> of codimension q, we will construct under certain assumptions on both M and N a wrong way map H∗uf(M)→H∗-quf(N)<inline-graphic></inline-graphic> in uniformly finite homology. Using an equivariant version of the construction and applying it to universal covers, we will construct a map H∗(Bπ1M)→H∗-q(Bπ1N)<inline-graphic></inline-graphic>. As applications we discuss obstructions to the existence of positive scalar curvature metrics and to inessentialness.
- Subjects
HOMOLOGY theory; GROUP theory; RIEMANNIAN manifolds; MATHEMATICAL mappings; MATHEMATICAL analysis
- Publication
Journal of Homotopy & Related Structures, 2018, Vol 13, Issue 2, p423
- ISSN
2193-8407
- Publication type
Article
- DOI
10.1007/s40062-017-0187-x