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Title: Non‐isotopic splitting spheres for a split link in S4$S^4$
Abstract We show that there exist split, orientable, 2‐component surface‐links in with non‐isotopic splitting spheres in their complements. In particular, for non‐negative integers with , the unlink consisting of one component of genus and one component of genus contains in its complement two smooth splitting spheres that are not topologically isotopic in . This contrasts with link theory in the classical dimension, as any two splitting spheres in the complement of a 2‐component split link are isotopic in .  more » « less
Award ID(s):
2404810 2213295
PAR ID:
10581193
Author(s) / Creator(s):
 ;  ;  
Publisher / Repository:
Oxford University Press (OUP)
Date Published:
Journal Name:
Proceedings of the London Mathematical Society
Volume:
130
Issue:
4
ISSN:
0024-6115
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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