Eliashberg's proof of Cerf's theorem
Geometric Topology
2019-03-11 v1 Symplectic Geometry
Abstract
Following a line of reasoning suggested by Eliashberg, we prove Cerf's theorem that any diffeomorphism of the 3-sphere extends over the 4-ball. To this end we develop a moduli-theoretic version of Eliashberg's filling-with-holomorphic-discs method.
Cite
@article{arxiv.1007.3606,
title = {Eliashberg's proof of Cerf's theorem},
author = {Hansjörg Geiges and Kai Zehmisch},
journal= {arXiv preprint arXiv:1007.3606},
year = {2019}
}
Comments
32 pages