English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Journal Article

On the homotopy type of the spaces of spherical knots in Rn

MPS-Authors
/persons/resource/persons236364

Turchin,  V. È.
Max Planck Institute for Mathematics, Max Planck Society;

External Resource
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)
Supplementary Material (public)
There is no public supplementary material available
Citation

Turchin, V. È., & Willwacher, T. (2021). On the homotopy type of the spaces of spherical knots in Rn. Münster Journal of Mathematics, 14(2), 537-558. doi:10.17879/06089641150.


Cite as: https://hdl.handle.net/21.11116/0000-0009-97EE-1
Abstract
We study the spaces of embeddings $S^m\hookrightarrow R^n$ and those of long
embeddings $R^m\hookrightarrow R^n$, i.e. embeddings of a fixed behavior
outside a compact set. More precisely we look at the homotopy fiber of the
inclusion of these spaces to the spaces of immersions. We find a natural fiber
sequence relating these spaces. We also compare the $L_\infty$-algebras of
diagrams that encode their rational homotopy type, when the codimension
$n-m\geq 3$.