Ẑ and Splice Diagrams

We study quantum q-series invariants of 3-manifolds Ẑσ of Gukov-Pei-Putrov-Vafa, using techniques from the theory of normal surface singularities such as splice diagrams. We show that the (suitably normalized) sum of all Ẑσ depends only on the splice diagram, and in particular, it agrees for manifol...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2025
Main Authors: Gukov, Sergei, Katzarkov, Ludmil, Svoboda, Josef
Format: Article
Language:English
Published: Інститут математики НАН України 2025
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/214173
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Ẑ and Splice Diagrams. Sergei Gukov, Ludmil Katzarkov and Josef Svoboda. SIGMA 21 (2025), 073, 30 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine