Functoriality of group trisections.
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- Record sourced from PubMed, PMID 30348776.
- Also identified by DOI 10.1073/pnas.1717167115 and PMC identifier 6205444.
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Abstract
Building on work by Stallings, Jaco, and Hempel in three dimensions and a more recent four-dimensional analog by Abrams, Kirby, and Gay, we show how the splitting homomorphism and group trisection constructions can be extended to functors between appropriate categories. This further enhances the bridge between smooth four-dimensional topology and the group theory of free and surface groups.