We describe a construction procedure of infinite sets of 2-links in closed simply connected 4-manifolds that are topologically isotopic, smoothly inequivalent and componentwise topologically unknotted. These 2-links are the first such examples in the literature. The examples provided have surface and free groups as their 2-link groups, and display subtle exotic phenomena that are related to their linking. In particular, our examples are not parallel copies of exotic embeddings of 2-spheres that were previously known to exist nor their combinations with smoothly unknotted 2-spheres.
A recipe for exotic 2-links in closed 4-manifolds whose components are topological unknots / Bais, Valentina; Benyahia, Younes; Malech, Oliviero; Torres, Rafael. - In: PACIFIC JOURNAL OF MATHEMATICS. - ISSN 1945-5844. - 338:1(2025), pp. 35-62. [10.2140/pjm.2025.338.35]
A recipe for exotic 2-links in closed 4-manifolds whose components are topological unknots
Bais, Valentina;Benyahia, Younes;Malech, Oliviero;Torres, Rafael
2025-01-01
Abstract
We describe a construction procedure of infinite sets of 2-links in closed simply connected 4-manifolds that are topologically isotopic, smoothly inequivalent and componentwise topologically unknotted. These 2-links are the first such examples in the literature. The examples provided have surface and free groups as their 2-link groups, and display subtle exotic phenomena that are related to their linking. In particular, our examples are not parallel copies of exotic embeddings of 2-spheres that were previously known to exist nor their combinations with smoothly unknotted 2-spheres.| File | Dimensione | Formato | |
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