Abstract. We construct infinite families of topologically isotopic but smoothly distinct knotted spheres in many simply connected 4-manifolds that become smoothly isotopic after stabilizing by connected summing with S2ˆS2, and as a consequence, analogous families of diffeomorphisms and metrics of positive scalar curvature for such 4-manifolds. We also construct families of smoothly distinct links, all of whose corresponding proper sublinks are smoothly isotopic, that become smoothly isotopic after stabilizing. 1
AbstractIf a continuous map f:X→Q is approximable arbitrary closely by embeddings X↪Q, can some embe...
Define the 1-handle stabilization distance between two surfaces properly embedded in a fixed 4-dimen...
We study closed, oriented 4-manifolds whose fundamental group is that of a closed, oriented, aspher...
© 2020, Mathematical Sciences Publishers. We study surfaces embedded in 4–manifolds. We give a compl...
In this talk, we consider surfaces embedded in 4-manifolds. We give a complete set of moves relating...
This thesis is a comparison of the smooth and topological categories in dimension 4. We first discus...
This thesis is a comparison of the smooth and topological categories in dimension 4. We first discus...
Kronheimer-Mrowka recently proved that the Dehn twist along a 3-sphere in the neck of $K3\#K3$ is no...
Kronheimer-Mrowka recently proved that the Dehn twist along a 3-sphere in the neck of $K3\#K3$ is no...
AbstractA surface in a smooth 4-manifold is called flexible if, for any diffeomorphism ϕ on the surf...
The Wall's stable h-cobordism theorem states that homotopy equivalent, smooth simply-connected 4-man...
AbstractIn this paper we define invariants under smooth isotopy for certain two-dimensional knots us...
We introduce a new stable range invariant for the classification of closed, oriented topological $4$...
AbstractThe stable theory (which allows connected sums with S2×S2) is unified and extended using cur...
A diffeomorphism $f$ of a compact manifold $X$ is pseudo-isotopic to the identity if there is a diff...
AbstractIf a continuous map f:X→Q is approximable arbitrary closely by embeddings X↪Q, can some embe...
Define the 1-handle stabilization distance between two surfaces properly embedded in a fixed 4-dimen...
We study closed, oriented 4-manifolds whose fundamental group is that of a closed, oriented, aspher...
© 2020, Mathematical Sciences Publishers. We study surfaces embedded in 4–manifolds. We give a compl...
In this talk, we consider surfaces embedded in 4-manifolds. We give a complete set of moves relating...
This thesis is a comparison of the smooth and topological categories in dimension 4. We first discus...
This thesis is a comparison of the smooth and topological categories in dimension 4. We first discus...
Kronheimer-Mrowka recently proved that the Dehn twist along a 3-sphere in the neck of $K3\#K3$ is no...
Kronheimer-Mrowka recently proved that the Dehn twist along a 3-sphere in the neck of $K3\#K3$ is no...
AbstractA surface in a smooth 4-manifold is called flexible if, for any diffeomorphism ϕ on the surf...
The Wall's stable h-cobordism theorem states that homotopy equivalent, smooth simply-connected 4-man...
AbstractIn this paper we define invariants under smooth isotopy for certain two-dimensional knots us...
We introduce a new stable range invariant for the classification of closed, oriented topological $4$...
AbstractThe stable theory (which allows connected sums with S2×S2) is unified and extended using cur...
A diffeomorphism $f$ of a compact manifold $X$ is pseudo-isotopic to the identity if there is a diff...
AbstractIf a continuous map f:X→Q is approximable arbitrary closely by embeddings X↪Q, can some embe...
Define the 1-handle stabilization distance between two surfaces properly embedded in a fixed 4-dimen...
We study closed, oriented 4-manifolds whose fundamental group is that of a closed, oriented, aspher...