Eliashberg's proof of Cerf's theorem
classification
🧮 math.GT
math.SG
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eliashbergcerftheoremballdevelopdiffeomorphismextendsfilling-with-holomorphic-discs
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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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