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.
- Publication:
-
arXiv e-prints
- Pub Date:
- May 2013
- DOI:
- 10.48550/arXiv.1305.2142
- arXiv:
- arXiv:1305.2142
- Bibcode:
- 2013arXiv1305.2142Z
- Keywords:
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- Mathematics - Algebraic Geometry;
- Mathematics - Symplectic Geometry;
- 14N35;
- 53D45
- E-Print:
- 60 pages, 9 figures, 1 table. arXiv admin note: text overlap with arXiv:1201.6350