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Abstract
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We present an algorithm taking a Kirby diagram of a closed oriented
-manifold
to a trisection diagram of the same manifold. This algorithm provides us
with a large number of examples of trisection diagrams of closed oriented
-manifolds,
since many Kirby-diagrammatic descriptions of closed oriented
-manifolds
are known. That being said, the algorithm does not necessarily provide particularly
efficient trisection diagrams. We also extend this algorithm to work for the
nonorientable case.
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Keywords
trisection, Kirby diagram, 4-manifold topology
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Mathematical Subject Classification
Primary: 57K40
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Milestones
Received: 25 November 2021
Revised: 13 April 2022
Accepted: 16 April 2022
Published: 1 August 2022
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