A Note on Three-Fold Branched Covers of S4
Ann. Inst. Fourier (Grenoble), Vol: 72, Issue: 2, Page: 849-866
2024
- 68Usage
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Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
Metrics Details
- Usage68
- Downloads64
- Abstract Views4
Article Description
We show that any 4-manifold admitting a (g;k1,k2,0)-trisection is an irregular 3-fold cover of the 4-sphere whose branching set is a surface in S4, smoothly embedded except for one singular point which is the cone on a link. A 4-manifold admits such a trisection if and only if it has a handle decomposition with no 1-handles; it is conjectured that all simply-connected 4-manifolds have this property.
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