Vassiliev invariants and the Poincaré conjecture

DOI10.1016/S1631-073X(02)02375-0zbMath1003.57019OpenAlexW2017784832WikidataQ123226609 ScholiaQ123226609MaRDI QIDQ5915522

Michael Eisermann

Publication date: 14 October 2002

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02375-0

zbMATH Keywords

invarianthomotopy 3-sphere3-manifoldPoincaré conjectureWhiteheadVassilievcontractible open 3-manifoldfake 3-spherelocal knot

Mathematics Subject Classification ID

Homotopy spheres, Poincaré conjecture (57R60)

Cites Work

• Necessary and sufficient conditions that a 3-manifold be \(S^3\)
• Finite type link invariants of 3-manifolds
• On the Vassiliev knot invariants
• Knot polynomials and Vassiliev's invariants
• Locally euclidean factors of \(E^ 4\) which cannot be imbedded in \(E^ 3\)
• Some Contractible Open 3-Manifolds
• Differential Topology
• A Characterization of Punctured Open 3-Cells

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