Trisections of 4-manifolds. (English) Zbl 1421.57030

Kirby, Robion

Proc. Natl. Acad. Sci. USA 115, No. 43, 10853-10856 (2018).

Summary: This article serves as an introduction to the special feature “Trisections of 4-manifolds” of the Proceedings of the National Academy of Sciences of the United States of America. It is an introduction to trisections of 4-manifolds, a notion that parallels the notion of a Heegaard splitting in dimension 4. It gives the basic notions, some historical background and brief summaries of the contents of the following articles in this special feature.

MSC:

57N13

Topology of the Euclidean \(4\)-space, \(4\)-manifolds (MSC2010)

Keywords:

4-manifolds; trisections; Poincaré conjecture