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Double and Triple Givental's J-functions for Stable Quotients Invariants
We use mirror formulas for the stable quotients analogue of Givental's
J-function for twisted projective invariants obtained in a previous paper to
obtain mirror formulas for the analogues of the double and triple Givental's
J-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.Comment: 60 pages, 9 figures, 1 table. arXiv admin note: text overlap with
arXiv:1201.635
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