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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