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Ẑ invariants at rational τ

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dc.abstract.enẐ invariants of 3-manifolds were introduced as series in q = e2πiτ in order to categorify Witten-Reshetikhin-Turaev invariants corresponding to τ = 1/k. However modularity properties suggest that all roots of unity are on the same footing. The main result of this paper is the expression connecting Reshetikhin-Turaev invariants with Ẑ invariants for τ ∈ ℚ. We present the reasoning leading to this conjecture and test it on various 3-manifolds.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorKucharski, Piotr
dc.date.accessioned2024-01-26T12:28:29Z
dc.date.available2024-01-26T12:28:29Z
dc.date.issued2019
dc.description.financeNie dotyczy
dc.description.number9
dc.description.volume2019
dc.identifier.doi10.1007/JHEP09(2019)092
dc.identifier.issn1126-6708
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/126116
dc.identifier.weblinkhttp://link.springer.com/content/pdf/10.1007/JHEP09(2019)092.pdf
dc.languageeng
dc.pbn.affiliationphysical sciences
dc.relation.ispartofJournal of High Energy Physics
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.titleẐ invariants at rational τ
dc.typeJournalArticle
dspace.entity.typePublication