A genus-one FJRW invariant via two methods
Algebraic Geometry
2023-04-12 v2
Abstract
We calculate a genus-one FJRW invariant of an LG pair via two different methods. In the first method, we apply the cosection localization technique to get a genus-one three-spin virtual class explicitly and then calculate the target FJRW invariant via self-intersections of the three-spin virtual class. In the second method, we apply the Mixed Spin P-fields method for the pair and calculate the invariant using the localization formula. This invariant is the building block in establishing the all-genera LG/CY correspondence and its determination enables one to compute the all-genera FJRW invariants for the LG pair.
Cite
@article{arxiv.2006.16518,
title = {A genus-one FJRW invariant via two methods},
author = {Jun Li and Wei-Ping Li and Yefeng Shen and Jie Zhou},
journal= {arXiv preprint arXiv:2006.16518},
year = {2023}
}
Comments
24 pages, 7 figures, minor changes