Eliashberg's proof of Cerf's theorem

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.

32 pages

Cited by in corpus (5)

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• No homotopy 4-sphere invariants using ECH = SWF
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