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.
2025
338
1
35
62
10.2140/pjm.2025.338.35
https://arxiv.org/abs/2206.09659
Bais, Valentina; Benyahia, Younes; Malech, Oliviero; Torres, Rafael
File in questo prodotto:
File Dimensione Formato  
unpaywall-bitstream-197290653.pdf

accesso aperto

Descrizione: pdf editoriale
Tipologia: Versione Editoriale (PDF)
Licenza: Creative commons
Dimensione 544.21 kB
Formato Adobe PDF
544.21 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/147190
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? 0
social impact