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These unexplained correlations strengthen previous observations concerning links between Khovanov and knot Floer homology. Our results also point to a new connection between quantum algebraic and hyperbolic invariants, similar to the generalized volume conjecture.<\/jats:p>","DOI":"10.1088\/2632-2153\/ad95d9","type":"journal-article","created":{"date-parts":[[2024,11,21]],"date-time":"2024-11-21T22:58:59Z","timestamp":1732229939000},"page":"045061","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":1,"title":["Illuminating new and known relations between knot invariants"],"prefix":"10.1088","volume":"5","author":[{"given":"Jessica","family":"Craven","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6305-2949","authenticated-orcid":true,"given":"Mark","family":"Hughes","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2603-6717","authenticated-orcid":false,"given":"Vishnu","family":"Jejjala","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1943-4346","authenticated-orcid":true,"given":"Arjun","family":"Kar","sequence":"additional","affiliation":[]}],"member":"266","published-online":{"date-parts":[[2024,12,10]]},"reference":[{"key":"mlstad95d9bib1","doi-asserted-by":"publisher","first-page":"103","DOI":"10.1090\/S0273-0979-1985-15304-2","article-title":"A polynomial invariant for knots via von Neumann algebras","volume":"12","author":"Jones","year":"1985","journal-title":"Bull. 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