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Computing trisections of 4-manifolds

Published Web Location

https://doi.org/10.1073/pnas.1717173115
Abstract

We describe an algorithm to compute trisections of orientable four-manifolds using arbitrary triangulations as input. This results in explicit complexity bounds for the trisection genus of a 4-manifold in terms of the number of pentachora (4-simplices) in a triangulation.

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