Geodesic
Haefliger’s approach for spherical knots modulo immersions
Homology, homotopy, and applications, Tome 25 (2023) no. 2, pp. 55-73.

Voir la notice de l'article provenant de la source International Press of Boston

$\def\Emb{\overline{Emb}}$We show that for the spaces of spherical embeddings modulo immersions $\Emb (S^n, S^{n+q})$ and long embeddings modulo immersions $\Emb_\partial (D^n, D^{n+q})$, the set of connected components is isomorphic to $\pi_{n+1} (SG, SG_q)$ for $q \geqslant 3$. As a consequence, we show that all the terms of the long exact sequence of the triad $(SG; SO, SG_q)$ have a geometric meaning relating to spherical embeddings and immersions.
DOI : 10.4310/HHA.2023.v25.n2.a4
Classification : 57R40, 57R42, 58D10
Keywords: embeddings modulo immersions, spherical embedding, framed disked embedding 
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     title = {Haefliger{\textquoteright}s approach for spherical knots modulo immersions},
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     pages = {55--73},
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Neeti Gauniyal. Haefliger’s approach for spherical knots modulo immersions. Homology, homotopy, and applications, Tome 25 (2023) no. 2, pp. 55-73. doi : 10.4310/HHA.2023.v25.n2.a4. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2023.v25.n2.a4/

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