Work

A recipe for exotic 2-links in closed 4-manifolds whose components are topological unknots

Year: 2025

Type: article

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.

Source: Pacific Journal of Mathematics

DOI: 10.2140/pjm.2025.338.35

Authors: Valentina Bais, Younes Benyahia, Oliviero Malech, Rafael Torres

Institutions: Scuola Internazionale Superiore di Studi Avanzati, The Abdus Salam International Centre for Theoretical Physics (ICTP)

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funder: Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni

OpenAlex ID: W4411507836