S. Akbulut

activity

19972022

most citedCorks, Plugs and exotic structures

65 citations · 157 across the 20 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.GT2019

Cork twists and automorphisms of $3$ -manifolds

Selman Akbulut

Here we study two interesting smooth contractible manifolds, whose boundaries have non-trivial mapping class groups. The first one is a non-Stein contractible manifold, such that e…

math.GT2019

Homotopy $4$ -spheres associated to an infinite order loose cork

Selman Akbulut

We show the homotopy spheres $Σ_{n} = - W ⌣_{f^{n}} W$ , formed by doubling the infinite order loose-cork $(W, f)$ by iterates of the cork diffeomorphism $f: \partial W \to \partia…

math.GT2019

Knot concordances in $S^{1} \times S^{2}$ and exotic smooth $4$ -manifolds

Selman Akbulut, Eylem Zeliha Yildiz

It is known that there is a unique concordance class in the free homotopy class of $S^{1} \times pt \subset S^{1} \times S^{2}$ . The constructive proof of this fact is given by the second…

Cork twists and automorphisms of 3-manifolds

Homotopy 4-spheres associated to an infinite order loose cork

Knot concordances in S1×S2 and exotic smooth 4-manifolds

Cork twists and automorphisms of $3$ -manifolds

Homotopy $4$ -spheres associated to an infinite order loose cork

Knot concordances in $S^{1} \times S^{2}$ and exotic smooth $4$ -manifolds