Proof of Two Multivariate -Binomial Sums Arising in Gromov-Witten Theory

We prove two multivariate -binomial identities conjectured by Bousseau, Brini, and van Garrel [Geom. Topol. 28 (2024), 393-496, arXiv:2011.08830], which give generating series for Gromov-Witten invariants of two specific log Calabi-Yau surfaces. The key identity in all the proofs is Jackson's -...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2024
Main Author: Krattenthaler, Christian
Format: Article
Language:English
Published: Інститут математики НАН України 2024
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/212606
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Proof of Two Multivariate -Binomial Sums Arising in Gromov-Witten Theory. Christian Krattenthaler. SIGMA 20 (2024), 089, 6 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine