A recipe for exotic 2-links in closed 4-manifolds whose components are topological unknots
arXiv:2206.09659 · doi:10.2140/pjm.2025.338.35
Abstract
We describe a construction procedure of infinite sets of -links in closed simply connected 4-manifolds that are topologically isotopic, smoothly inequivalent and componentwise topologically unknotted. These 2-links are the first examples of such kind in the literature. The examples provided have surface and free groups as their 2-link groups. We also point out an exotic Brunnian behaviour of such families, which highlights the important role of linking in creating exotic phenomena.
v2: The paper has been rewritten to include the case of 2-links. New title. An author has been added