Nikolai Mnëv
Published 2019-08-12Version 1
We investigate a PL topology question: which circle bundles can be triangulated over a given triangulation of the base? The question got a simple answer emphasizing the role of minimal triangulations encoded by local systems of circular permutations of vertices of the base simplices. The answer is based on an experimental fact: classical Huntington transitivity axiom for cyclic orders can be expressed as the universal binary Chern cocycle.
Circle bundles over 4-manifolds
The covering type of closed surfaces and minimal triangulations
A construction principle for tight and minimal triangulations of manifolds
![QR code for arXiv:1908.04029 [math.GT]](http://oss.arxitics.com/images/favicon.svg)