English

Novikov's Conjecture

Algebraic Topology 2016-08-16 v1 K-Theory and Homology

Abstract

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

Cite

@article{arxiv.1506.05408,
  title  = {Novikov's Conjecture},
  author = {Jonathan Rosenberg},
  journal= {arXiv preprint arXiv:1506.05408},
  year   = {2016}
}

Comments

22 pages

R2 v1 2026-06-22T09:55:25.832Z