Some lower bounds for the Kirby-Thompson invariant
Geometric Topology
2023-02-28 v2
Abstract
Kirby and Thompson introduced a non-negative integer-valued invariant, called the Kirby-Thompson invariant, of a -manifold using trisections. In this paper, we give some lower bounds for the Kirby-Thompson invariant of certain -manifolds. As an application, we determine the Kirby-Thompson invariant of the spin of , which is the first example of a -manifold with non-trivial Kirby-Thompson invariant. We also show that there exist -manifolds with arbitrarily large Kirby-Thompson invariant.
Keywords
Cite
@article{arxiv.2302.07447,
title = {Some lower bounds for the Kirby-Thompson invariant},
author = {Nobutaka Asano and Hironobu Naoe and Masaki Ogawa},
journal= {arXiv preprint arXiv:2302.07447},
year = {2023}
}
Comments
20 pages, 6 figures