Automorphisms of manifolds and algebraic K-theory - volume 231, number 1084

The structure space $\mathcal{S}(M)$ of a closed topological $m$-manifold $M$ classifies bundles whose fibers are closed $m$-manifolds equipped with a homotopy equivalence to $M$.

The authors construct a highly connected map from $\mathcal{S}(M)$ to a concoction of algebraic $L$-theory and algebraic $K$-theory spaces associated with $M$.

The construction refines the well-known surgery theoretic analysis of the block structure space of $M$ in terms of $L$-theory.