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math.AT2023
Non-linear proper Fredholm maps and the stable homotopy groups of spheres
Thomas O. Rot, Lauran Toussaint
We classify non-linear proper Fredholm maps between Hilbert spaces, up to proper homotopy, in terms of the stable homotopy groups of spheres. We show that there is a surjective map…
math.GT2023
A geometric computation of cohomotopy groups in co-degree one
Michael Jung, Thomas O. Rot
Using geometric arguments, we compute the group of homotopy classes of maps from a closed -dimensional manifold to the -sphere for . Our work extends results fr…