Novikov’s Conjecture

Jonathan Rosenberg ()
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Jonathan Rosenberg: University of Maryland, Department of Mathematics

A chapter in Open Problems in Mathematics, 2016, pp 377-402 from Springer

Abstract: Abstract We describe Novikov’s “higher signature conjecture,” which dates back to the late 1960s, 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.

Keywords: Fundamental Group; Elliptic Genus; Spin Manifold; Chern Character; Smooth Projective Variety (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-32162-2_11

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DOI: 10.1007/978-3-319-32162-2_11

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