English

The 4-Dimensional Light Bulb Theorem (after David Gabai)

Geometric Topology 2017-09-14 v1

Abstract

In this note I present my understanding of, that is to say the way I look at, David Gabai's proof of his recent 4-Dimensional Light Bulb Theorem (4D-LBT). His construction, entirely smooth, is an ingenious amalgam of classical moves, and represents the first new hands-on advance in constructive smooth 4-manifold theory, that I am aware of, in a long time.

Cite

@article{arxiv.1709.04306,
  title  = {The 4-Dimensional Light Bulb Theorem (after David Gabai)},
  author = {Robert D. Edwards},
  journal= {arXiv preprint arXiv:1709.04306},
  year   = {2017}
}

Comments

12 pages = 7 pages of text and 5 pages of figures

R2 v1 2026-06-22T21:41:47.819Z