Trisections with Kirby-Thompson length 2
Geometric Topology
2022-08-18 v3
Abstract
Kirby and Thompson introduced a length of a trisection. They also defined the length of a 4-manifold as the minimum of length among all lengths of trisection of a 4-manifold. In this paper, we consider trisections whose Kirby-Thompson length is 2. Kirby and Thompson conjectured that length 2 trisection is a trisection of 4-manifold with length 0. We shall prove this conjecture in this paper.
Cite
@article{arxiv.2112.10033,
title = {Trisections with Kirby-Thompson length 2},
author = {Masaki Ogawa},
journal= {arXiv preprint arXiv:2112.10033},
year = {2022}
}
Comments
14 pages, 9 figures. Comments are welcome!