We use mirror formulas for the stable quotients analogue of Givental’s
-function
for twisted projective invariants obtained in a previous paper to obtain
mirror formulas for the analogues of the double and triple Givental’s
-functions
(with descendants at all marked points) in this setting. We then observe that the
genus-0 stable quotients invariants need not satisfy the divisor, string, or dilaton
relations of the Gromov–Witten theory, but they do possess the integrality properties
of the genus-0 three-point Gromov–Witten invariants of Calabi–Yau manifolds.
We also relate the stable quotients invariants to the BPS counts arising in
Gromov–Witten theory and obtain mirror formulas for certain twisted Hurwitz
numbers.
