TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 354(12) 5049-5061 2002年 [査読有り]
We clarify the structure of the set of regular homotopy classes containing embeddings of a 3-manifold into 5-space inside the set of all regular homotopy classes of immersions with trivial normal bundles. As a consequence, we show that for a large...
PACIFIC JOURNAL OF MATHEMATICS 193(1) 249-256 2000年3月 [査読有り]
Let F : M3 --> R-5 be an embedding of an (oriented) Z(2)-homology 3-sphere M-3 in R-5. Then F bounds an embedding of an oriented manifold W-4 in R-5. It is well known that the signature sigma(W-4) of W-4 is equal to the mu-invariant of M-3 modu...