
arXiv: 1506.05408
We describe Novikov's "higher signature conjecture," which dates back to the late 1960's, as well as many alternative formulations and related problems. The Novikov Conjecture is perhaps the most important unsolved problem in high-dimensional manifold topology, but more importantly, variants and analogues permeate many other areas of mathematics, from geometry to operator algebras to representation theory
22 pages
Mathematics - K-Theory and Homology, 57R67 (Primary) 19J25, 19K56, 19G24, 19D50, 58J22 (Secondary), FOS: Mathematics, Algebraic Topology (math.AT), K-Theory and Homology (math.KT), Mathematics - Algebraic Topology
Mathematics - K-Theory and Homology, 57R67 (Primary) 19J25, 19K56, 19G24, 19D50, 58J22 (Secondary), FOS: Mathematics, Algebraic Topology (math.AT), K-Theory and Homology (math.KT), Mathematics - Algebraic Topology
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