Surgery up to homotopy equivalence for nonpositively curved manifolds
Surgery up to homotopy equivalence for nonpositively curved manifolds
Let ${M^n}$ be a smooth closed manifold which admits a metric of nonpositive curvature. We show, using a theorem of Farrell and Hsiang, that if $n + k \geqslant 6$, then the surgery obstruction map $\left [ {M \times {D^k},\partial ;G / {\text {TOP}}} \right ] \to L_{n + k}^h\left …