The colored Jones polynomial and Kontsevich-Zagier series for double twist knots
dc.bibliographicCitation.seriesTitle | Oberwolfach Preprints (OWP) | eng |
dc.bibliographicCitation.volume | 2017-29 | |
dc.contributor.author | Lovejoy, Jeremy | |
dc.contributor.author | Osburn, Robert | |
dc.date.accessioned | 2018-01-25T03:03:00Z | |
dc.date.available | 2019-06-28T08:11:57Z | |
dc.date.issued | 2017 | |
dc.description.abstract | Using a result of Takata, we prove a formula for the colored Jones polynomial of the double twist knots K(−m,−p) and K(−m,p) where m and p are positive integers. In the (−m,−p) case, this leads to new families of q-hypergeometric series generalizing the Kontsevich-Zagier series. Comparing with the cyclotomic expansion of the colored Jones polynomials of K(m,p) gives a generalization of a duality at roots of unity between the Kontsevich-Zagier function and the generating function for strongly unimodal sequences. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 1864-7596 | |
dc.identifier.uri | https://doi.org/10.34657/3322 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2840 | |
dc.language.iso | eng | eng |
dc.publisher | Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach | eng |
dc.relation.doi | https://doi.org/10.14760/OWP-2017-29 | |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.subject.ddc | 510 | eng |
dc.subject.other | double twist knots | eng |
dc.subject.other | colored Jones polynomial | eng |
dc.subject.other | duality | eng |
dc.title | The colored Jones polynomial and Kontsevich-Zagier series for double twist knots | eng |
dc.type | Report | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | MFO | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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