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Embeddings of
Z2-homology 3-spheres in R5 up
to regular homotopy
Masamichi Takase |
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Vol. 193 (2000), No. 1, 249–256
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Abstract |
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Let F : M3↪R5 be an embedding of an (oriented) Z2-homology 3-sphere M3 in R5. Then F bounds an embedding of an oriented manifold W4 in R5. It is well known that the signature σ(W4) of W4 is equal to the μ-invariant of M3 modulo 16. In this paper we prove that σ(W4) itself completely determines the regular homotopy class of F. |
Milestones
Received: 1 February 1998
Revised: 5 February 1999
Published: 1 March 2000
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Authors |
| Masamichi Takase | |
| Graduate School of Mathematical
Sciences University of Tokyo 3-8-1 Komaba, Meguro-ku Tokyo 153 Japan |
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