Normal crossing immersions, cobordisms and flips
Geometric Topology
2024-05-15 v2 Combinatorics
Abstract
We study various analogues of theorems from PL topology for cubical complexes. In particular, we characterize when two PL homeomorphic cubulations are equivalent by Pachner moves by showing the question to be equivalent to the existence of cobordisms between generic immersions of hypersurfaces. This solves a question and conjecture of Habegger and Funar.
Cite
@article{arxiv.2001.01108,
title = {Normal crossing immersions, cobordisms and flips},
author = {Karim Adiprasito and Gaku Liu},
journal= {arXiv preprint arXiv:2001.01108},
year = {2024}
}