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A new invariant of 4-manifolds.

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.

journal_name

Proc Natl Acad Sci U S A

journal_title

Proceedings of the National Academy of Sciences of the United States of America

authors

Kirby R,Thompson A

doi

10.1073/pnas.1718953115

subject

Has Abstract

pub_date

2018-10-23 00:00:00

pages

10857-10860

issue

43

eissn

0027-8424

issn

1091-6490

pii

1718953115

journal_volume

115

pub_type

杂志文章

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