English

Which circle bundles can be triangulated over $\partial \Delta^3$?

Geometric Topology 2018-07-24 v2 Algebraic Topology Combinatorics

Abstract

We proof that having boundary of standard 3-dimensional simplex Δ3\partial \Delta^3 as a base of triangulation one can triangulate only trivial and Hopf circle bundles.

Cite

@article{arxiv.1807.06842,
  title  = {Which circle bundles can be triangulated over $\partial \Delta^3$?},
  author = {N. Mnëv},
  journal= {arXiv preprint arXiv:1807.06842},
  year   = {2018}
}

Comments

7 pages, 3 figures, minor language corrections

R2 v1 2026-06-23T03:05:32.049Z