Group actions and higher signatures

AUTOR(ES)

Weinberger, Shmuel

RESUMO

Let π be a nontrivial finite group and M be a closed manifold. An interesting question is whether or not M has the R-homology type of a manifold admitting a free π action. Here this problem is studied for actions that are “homologically trivial.” If π1M is nontrivial these questions are intimately related to the Novikov higher signature conjecture, but the results are new even in the simply connected case.

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