activity
20202024
most citedOn homotopy groups of spaces of embeddings of an arc or a circle: the Dax invariant

5 citations · 21 across the 7 of their papers we have counts for

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Showing 2023Show all

2 papers · 1 filter

math.GT2023

Homotopy versus isotopy: 2-spheres in 5-manifolds

Danica Kosanović, Rob Schneiderman, Peter Teichner

In this note we give a complete obstruction for two homotopic embeddings of a 2-sphere into a 5-manifold to be isotopic. The results are new even though the methods are classical,…

math.GT2023★ 4 cited

Knotted families from graspers

Danica Kosanović

For any smooth manifold of dimension we construct explicit classes in homotopy groups of spaces of embeddings of either an arc or a circle into , in every degree th…