English

Floyd's manifold is a conjugation space

Algebraic Topology 2021-05-12 v1

Abstract

We prove that there is an action of the cyclic group C2\mathbf{C}_2 on the 1010-dimensional Floyd manifold which turns it into a conjugation manifold. The submanifold of fixed points is the 55-dimensional Floyd manifold, whose cohomology is isomorphic to that of the large one, scaled down by dividing the cohomological degree by a factor two.

Keywords

Cite

@article{arxiv.2105.04868,
  title  = {Floyd's manifold is a conjugation space},
  author = {Wolfgang Pitsch and Jérôme Scherer},
  journal= {arXiv preprint arXiv:2105.04868},
  year   = {2021}
}

Comments

11 pages

R2 v1 2026-06-24T01:58:40.889Z