Eliashberg's proof of Cerf's theorem

Details Eliashberg's proof of Cerf's theorem Eliashberg's proof of Cerf's theorem

2010-07-21

arxiv.org/abs/1007.3606v1

J. Topol. Anal. 2 (2010), 543-579

Mathematics

Geometric Topology

32 pages

Scientific paper

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.

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