A new invariant of 4-manifolds

Author:

Kirby Robion,Thompson Abigail

Abstract

We define an integer invariant LX 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 LX is that when LX=0 and X is a homology 4-sphere, then X is diffeomorphic to the 4-sphere. Naturally, L is hard to compute.

Publisher

Proceedings of the National Academy of Sciences

Subject

Multidisciplinary

Reference11 articles.

1. Trisecting 4-manifolds;Gay;Geom Topol,2016

2. Mapping class group of a handlebody;Wajnryb;Fund Math,1998

3. Heegaard splittings and the pants complex;Johnson;Algebr Geom Topol,2006

4. A presentation for the mapping class group of a closed orientable surface

5. Heegaard-Zerlegungen der 3-sphäre

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