Alexander Engel

Wrong way maps in uniformly finite homology and homology of groups

Given a non-compact Riemannian manifold M and a submanifold

Homotopy theory with bornological coarse spaces

N \hookrightarrow M

Rough index theory on spaces of polynomial growth and contractibility

N↪M of codimension q, we will construct under certain assumptions on both M and N a wrong way map

Equivariant coarse homotopy theory and coarse algebraic

H^\mathrm {uf}_*(M) \rightarrow H^\mathrm {uf}_{*-q}(N)

-homology

H∗uf(M)→H∗-quf(N) in uniformly finite homology. Using an equivariant version of the construction and applying it to universal covers, we will construct a map