Year: 2026
Type: preprint
Abstract: We show that the finite group reduction of the Dubrovin-Zhang/Double Ramification hierarchy associated with a semisimple CohFT preserves its bihamiltonian structure and its tau structure. By applying this result to the orbifold Gromov-Witten theory with the target $\mathbb{P}^1_{2,2,2,2}$, we obtain two non-equivalent integrable hierarchies which can be associated with the Frobenius manifold structure on the Hurwitz space $M_{1;1}$, and we show that one of them is equivalent to the genus one topological recursion.
Source: arXiv (Cornell University)
Authors: Liu, Si-Qi, Zhang, Youjin, Zhong, Tianwen
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7169842133