Enumerating embeddings of m-manifolds into (2m+1)-manifolds
Tsutomu Yasui · Institutional Repositories DataBase (IRDB) · 1993
For a closed connected differentiable manifold M, a differentiable manifold N and a differentiable map f: M→N, we denote the set of isotopy classes of embeddings homotopic to f by [M ⊂ N]_[f] and the set π_1(N^M, Emb(M, N), f) by [M ⊂ N]_f, where Emb(M, N) stands for the space of embeddings of M to N. In this paper, we will determine the set [M ⊂ N]_f on the assumption that dim N = 2dim M+1 ≧ 7, along the lines of Larmore [4], [5]. If N = L^m(p), the lens space mod p, we will determine the isotopy set [M ⊂ N]_[f] for dim M = m ≧ 3.