Christian Krattenthaler
Proof of two multivariate q-binomial sums arising
in Gromov-Witten theory
(5 pages)
Abstract.
We prove two multivariate q-binomial identities conjectured by
Bousseau, Brini and van Garrel
[Stable maps to Looijenga pairs,
arχiv: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 q-analogue
of the Pfaff-Saalschütz summation formula from the theory of
basic hypergeometric series.
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