Novikov Conjectures, Index Theorems, and Rigidity: Volume 1: Oberwolfach 1993The Novikov conjecture is the single most important unsolved problem in the topology of high dimensional non simply connected manifolds. These two volumes give a snapshot of the status of work on the Novikov conjecture and related topics from many points of view: geometric topology, homotopy theory, algebra, geometry, and analysis. Volume 1 contains a detailed historical survey and bibliography of the Novikov conjecture and of related subsequent