Annular Links with sl₂-Irreducible Annular Khovanov Homology
We prove that the rank of annular Khovanov homology of a braid in its next-to-top annular grading is always greater than 1, and as an immediate consequence prove that annular Khovanov homology of an annular link as a representation over the Lie algebra sl₂ is irreducible if and only if the annular l...
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| Format: | Others |
| Language: | en |
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2021
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| Online Access: | https://thesis.library.caltech.edu/14149/4/JuhyunKim-2021a.pdf Kim, Juhyun (2021) Annular Links with sl₂-Irreducible Annular Khovanov Homology. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/rwqc-q126. https://resolver.caltech.edu/CaltechTHESIS:05162021-224519644 <https://resolver.caltech.edu/CaltechTHESIS:05162021-224519644> |
Internet
https://thesis.library.caltech.edu/14149/4/JuhyunKim-2021a.pdfKim, Juhyun (2021) Annular Links with sl₂-Irreducible Annular Khovanov Homology. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/rwqc-q126. https://resolver.caltech.edu/CaltechTHESIS:05162021-224519644 <https://resolver.caltech.edu/CaltechTHESIS:05162021-224519644>