Mathematics > Algebraic Geometry
[Submitted on 26 Nov 2018 (v1), last revised 24 Dec 2020 (this version, v3)]
Title:The Loop Equation for Special Cubic Hodge Integrals
View PDFAbstract: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.
Submission history
From: Di Yang [view email][v1] Mon, 26 Nov 2018 09:01:25 UTC (19 KB)
[v2] Tue, 24 Nov 2020 13:48:05 UTC (19 KB)
[v3] Thu, 24 Dec 2020 16:57:45 UTC (20 KB)
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