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Degenerate and irregular topological recursion
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abstract
We use the theory of $x-y$ duality to propose a new definition / construction for the correlation differentials of topological recursion; we call it "generalized topological recursion". This new definition coincides with the original topological recursion of Chekhov-Eynard-Orantin in the regular case and allows, in particular, to get meaningful answers in a variety of irregular and degenerate situations.
Forward citations
Cited by 2 Pith papers
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Universal Correlators on Exponentially Ramified Spectral Curves
Generalized topological recursion extends to spectral curves with essential singularities by replacing residues at the essential point with residues at ordinary meromorphic points.
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Super volumes and KdV tau functions
The generalized BGW KdV tau function is identified as a generating function for spin class intersection numbers with Ramond punctures, yielding a proof of the Stanford-Witten recursion for the deformed super volumes.
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