Abstract
As the first step of proving the Hodge-FVH correspondence recently proposed in [19], we derive the Virasoro constraints and the Dubrovin–Zhang loop equation for special cubic Hodge integrals. We show that this loop equation has a unique solution, and provide a new algorithm for the computation of these Hodge integrals. We also observe the gap phenomenon for certain special cubic Hodge free energies.
Citation
Si-Qi Liu. Di Yang. Youjin Zhang. Chunhui Zhou. "The loop equation for special cubic Hodge integrals." J. Differential Geom. 121 (2) 341 - 368, June 2022. https://doi.org/10.4310/jdg/1659987894
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