Wang–Zhou conjecture on residue reformulation of abstract topological recursion
Wang–Zhou conjecture on residue reformulation of abstract topological recursion
Let be the abstract -point functions and let the abstract quantum field theory have spectral curve . Wang–Zhou's residue-reformulation conjecture. The abstract -point functions can be modified as multilinear differentials on 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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