3 papers
math.GT2024
Diffeomorphisms of 4-manifolds from graspers
Danica Kosanović
We relate degree one grasper families of embedded circles to various constructions of diffeomorphisms found in the literature -- theta clasper classes of Watanabe, barbell diffeomo…
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
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…