Wang–Zhou conjecture on residue reformulation of abstract topological recursion

Let 4Wg,n44\mathcal W_{g,n}4 be the abstract nn-point functions and let the abstract quantum field theory have spectral curve 4C44\mathcal C4. Wang–Zhou's residue-reformulation conjecture. The abstract nn-point functions can be modified as multilinear differentials on 4C44\mathcal C4 so that the quadratic recursion can be reformulated using formal residues, and the realization of this recursion is equivalent to Eynard–Orantin topological recursion. This would provide an intrinsic geometric formulation of the abstract recursion; it is conjectural beyond the examples discussed in the paper.

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Primary source

Zhiyuan Wang and Jian Zhou, “A formalism of abstract quantum field theory of summation of fat graphs”, arXiv:2108.10498 (2021).

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