Quadrangulation moves
Geometric Topology
2026-08-02 v1
Abstract
We prove that any two quadrangulations of the same surface, i.e., decompositions of a surface into squares, can be transformed into one another by a finite sequence of two-dimensional local cubical Pachner moves and non-local subdivision transformations.
Cite
@article{arxiv.2608.01044,
title = {Quadrangulation moves},
author = {Philipp Korablev},
journal= {arXiv preprint arXiv:2608.01044},
year = {2026}
}