Trisections of non-orientable 4-manifolds
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-Poénaru. 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.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2020
- DOI:
- 10.48550/arXiv.2010.07433
- arXiv:
- arXiv:2010.07433
- Bibcode:
- 2020arXiv201007433M
- Keywords:
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- Mathematics - Geometric Topology
- E-Print:
- 42 pages, 20 figures