• Corpus ID: 222379713

Trisections of non-orientable 4-manifolds

  title={Trisections of non-orientable 4-manifolds},
  author={Maggie Miller and Patrick Naylor},
  journal={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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