• Corpus ID: 222379713

Trisections of non-orientable 4-manifolds

@article{Miller2020TrisectionsON,
title={Trisections of non-orientable 4-manifolds},
author={Maggie Miller and Patrick Naylor},
journal={arXiv: Geometric Topology},
year={2020}
}
• Published 14 October 2020
• Mathematics
• arXiv: Geometric Topology
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-Poenaru. 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.

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