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

• 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
• 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

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 -...