Mathematics – Geometric Topology
Scientific paper
2010-03-25
Mathematics
Geometric Topology
25 pages, to appear in Proceedings of the ICM 2010
Scientific paper
This article will explore the K- and L-theory of group rings and their
applications to algebra, geometry and topology. The Farrell-Jones Conjecture
characterizes K- and L-theory groups. It has many implications, including the
Borel and Novikov Conjectures for topological rigidity. Its current status, and
many of its consequences are surveyed.
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