Abstract
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Given an annular link
, there is a
corresponding augmented link
in
obtained by adding a meridian unknot component to
. We
construct a spectral sequence with the second page isomorphic to the annular Khovanov
homology of
that converges to the reduced Khovanov homology of
. As
an application, we classify all the links with the minimal rank of annular Khovanov
homology. We also give a proof that annular Khovanov homology detects
unlinks.
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Keywords
Khovanov homology
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Mathematical Subject Classification
Primary: 57K18
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Publication
Received: 6 September 2021
Revised: 18 August 2022
Accepted: 18 October 2022
Published: 18 March 2024
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Publishers). Distributed under the Creative Commons
Attribution License 4.0 (CC BY). |
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