Large genus behavior of topological recursion

Abstract

We show that for a rather generic set of regular spectral curves, the Topological-Recursion invariants F_g grow at most like $O((\beta g)!r^{-g})$ with some $r>0$ and $\beta \le 5$.

13 pages, latex

References in corpus (7)

• All genus correlation functions for the hermitian 1-matrix model
• Free energy topological expansion for the 2-matrix model
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• Intersection numbers of spectral curves
• The ABCD of topological recursion
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Cited by in corpus (2)

• Matrix Field Theory
• Topological recursion and uncoupled BPS structures I: BPS spectrum and free energies