ELIASHBERG'S PROOF OF CERF'S THEOREM-Reference-Cited by-同舟云学术

ELIASHBERG'S PROOF OF CERF'S THEOREM

Published:2010-12 Issue:04 Volume:02 Page:543-579
ISSN:1793-5253
Container-title:Journal of Topology and Analysis
language:en
Short-container-title:J. Topol. Anal.

Author:

GEIGES HANSJÖRG¹,ZEHMISCH KAI¹

Affiliation:

1. Mathematisches Institut, Universität zu Köln, Weyertal 86–90, 50931 Köln, Germany

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.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Geometry and Topology,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793525310000446

Reference29 articles.

1. Pseudoholomorphic strips in symplecticisations III: Embedding properties and compactness

2. Symplectic Geometry

3. Topology and Geometry

4. Sur les difféomorphismes de la sphère de dimension trois (Γ4 = O)

5. Ya. Eliashberg, Geometry of Low-Dimensional Manifolds, London Math. Soc. Lecture Note Ser 2 (Cambridge Univ. Press, Durham, 1989) pp. 45–67.

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