English

A cusped hyperbolic 4-manifold without spin structures

Geometric Topology 2026-04-28 v2

Abstract

We build a non-compact, orientable, hyperbolic four-manifold of finite volume that does not admit any spin structure.

Keywords

Cite

@article{arxiv.2510.12657,
  title  = {A cusped hyperbolic 4-manifold without spin structures},
  author = {Stefano Riolo and Edoardo Rizzi},
  journal= {arXiv preprint arXiv:2510.12657},
  year   = {2026}
}

Comments

10 pages, 10 figures, 1 table. Final version (negligible changes wrt v1), to appear in AGT

R2 v1 2026-07-01T06:36:54.422Z