5 citations · 21 across the 7 of their papers we have counts for
7 papers
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…
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,…
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…
A new approach to light bulb tricks: Disks in 4-manifolds
Danica Kosanović, Peter Teichner
For a 4-manifold and a knot with dual sphere , we compute the set …
On homotopy groups of spaces of embeddings of an arc or a circle: the Dax invariant
Danica Kosanović
We compute in many classes of examples the first potentially interesting homotopy group of the space of embeddings of either an arc or a circle into a manifold of dimension $d\…
A space level light bulb theorem in all dimensions
Danica Kosanović, Peter Teichner
Given a -dimensional manifold and a knotted sphere with , for which there exists a framed dual sphere $G\co…
Embedding calculus and grope cobordism of knots
Danica Kosanović
We show that embedding calculus invariants are surjective for long knots in an arbitrary -manifold. This solves some remaining open cases of Goodwillie--Klein--Weiss conn…