Smooth knots in a~manifold of homotopy type~$K(\pi,1)$
Izvestiya. Mathematics , Tome 9 (1975) no. 3, pp. 577-598
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The author studies the set $\operatorname{Iso}(S^m,M^n)$ of smooth isotopy classes of embeddings of a sphere $S^m$ in a manifold $M^n$ having homotopy type $K(\pi,1)$, where $1$. He obtains an explicit expression for $\operatorname{Iso}(S^m,M^n)$ in terms of the group $\pi=\pi_1(M^n)$ and the well-known Haefliger groups of knots and finite links of the sphere $S^m$ in $R^n$.
Bibliography: 7 items.
@article{IM2_1975_9_3_a6,
author = {S. G. Smirnov},
title = {Smooth knots in a~manifold of homotopy type~$K(\pi,1)$},
journal = {Izvestiya. Mathematics },
pages = {577--598},
publisher = {mathdoc},
volume = {9},
number = {3},
year = {1975},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1975_9_3_a6/}
}
S. G. Smirnov. Smooth knots in a~manifold of homotopy type~$K(\pi,1)$. Izvestiya. Mathematics , Tome 9 (1975) no. 3, pp. 577-598. http://geodesic.mathdoc.fr/item/IM2_1975_9_3_a6/