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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2024 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2024
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/212606 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Proof of Two Multivariate -Binomial Sums Arising in Gromov-Witten Theory. Christian Krattenthaler. SIGMA 20 (2024), 089, 6 pages |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | 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 -analogue of the Pfaff-Saalschütz summation formula from the theory of basic hypergeometric series.
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| ISSN: | 1815-0659 |