Trisections of non-orientable 4-manifolds
Geometric Topology
2020-10-16 v1
Abstract
We study trisections of smooth, compact non-orientable 4-manifolds, and introduce trisections of non-orientable 4-manifolds with boundary. In particular, we prove a non-orientable analogue of a classical theorem of Laudenbach-Po\'enaru. As a consequence, trisection diagrams and Kirby diagrams of closed non-orientable 4-manifolds exist. We discuss how the theory of trisections may be adapted to the setting of non-orientable 4-manifolds with many examples.
Keywords
Cite
@article{arxiv.2010.07433,
title = {Trisections of non-orientable 4-manifolds},
author = {Maggie Miller and Patrick Naylor},
journal= {arXiv preprint arXiv:2010.07433},
year = {2020}
}
Comments
42 pages, 20 figures