English

The cohomology of projective unitary groups

Algebraic Topology 2026-05-05 v6

Abstract

The projective unitary group PU(n) is the quotient of the unitary group U(n) by its center. We compute the integral cohomology ring of PU(n) using explicit constructed generators.

Keywords

Cite

@article{arxiv.1710.09222,
  title  = {The cohomology of projective unitary groups},
  author = {Haibao Duan},
  journal= {arXiv preprint arXiv:1710.09222},
  year   = {2026}
}

Comments

24 pages, to appear in Proceedings of the Steklov Institute of Mathematics