Abstract
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We give some new link detection results for link Floer homology, Khovanov homology and
annular Khovanov homology. The links we detect arise via different closure operations on
-braids.
Examples of our results include that link Floer homology detects the Mazur link,
that annular Khovanov homology detects the Mazur pattern, and that Khovanov
homology detects L6a2 and L9n15. The Mazur pattern detection result depends on
a new bound on the rank of the annular Khovanov homology of certain
links.
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Keywords
link Floer homology, Khovanov homology, annular Khovanov
homology
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Mathematical Subject Classification
Primary: 57K18
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Milestones
Received: 4 August 2024
Revised: 11 September 2025
Accepted: 25 September 2025
Published: 31 October 2025
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| © 2026 The Author(s), under
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Publishers). |
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