Minimal triangulations of circle bundles, circular permutations and binary Chern cocycle
Geometric Topology
2019-08-28 v2 Algebraic Topology
Combinatorics
Abstract
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.
Keywords
Cite
@article{arxiv.1908.04029,
title = {Minimal triangulations of circle bundles, circular permutations and binary Chern cocycle},
author = {Nikolai Mnëv},
journal= {arXiv preprint arXiv:1908.04029},
year = {2019}
}
Comments
21 pages, language corrections