Double and Triple Givental's J-functions for Stable Quotients Invariants
Abstract
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.
Keywords
Cite
@article{arxiv.1305.2142,
title = {Double and Triple Givental's J-functions for Stable Quotients Invariants},
author = {Aleksey Zinger},
journal= {arXiv preprint arXiv:1305.2142},
year = {2016}
}
Comments
60 pages, 9 figures, 1 table. arXiv admin note: text overlap with arXiv:1201.6350