A new invariant of 4-manifolds.
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- Record sourced from PubMed, PMID 30348780.
- Also identified by DOI 10.1073/pnas.1718953115 and PMC identifier 6205452.
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Abstract
We define an integer invariant [Formula: see text] of a smooth, compact, closed 4-manifold X by minimizing a certain complexity of a trisection of X over all trisections. The good feature of [Formula: see text] is that when [Formula: see text] and X is a homology 4-sphere, then X is diffeomorphic to the 4-sphere. Naturally, L is hard to compute.