Which circle bundles can be triangulated over ∂ Δ³?

2018/07/18 by N. Mnëv, Mnëv, N.
Mathematics · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1807.06842

Abstract

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

Related

• Minimal triangulations of circle bundles
• Minimal triangulations of circle bundles, circular permutations and binary Chern cocycle
• Minimal triangulations of sphere bundles over the circle
• A new combinatorial class of 3-manifold triangulations
• Branched Coverings, Triangulations, and 3-Manifolds