Defines metric Möbius graphs for Klein surfaces, proves a refined Norbury recursion on weighted lattice counts, derives a refined Witten-Kontsevich recursion, and explicitly computes the refined Euler characteristic of the moduli space.
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A new family of weighted double Hurwitz numbers yields an explicit ELSV-type formula in terms of Ω-classes.
Generalizes Landau-Ginzburg models of Dubrovin-Zhang form to Dynkin type A, develops a pole-collision comparison on Hurwitz space strata, and proves a prepotential structural result plus the Ma-Zuo conjecture for arbitrary rank and dimension.
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Refined lattice point counting on the moduli space of Klein surfaces
Defines metric Möbius graphs for Klein surfaces, proves a refined Norbury recursion on weighted lattice counts, derives a refined Witten-Kontsevich recursion, and explicitly computes the refined Euler characteristic of the moduli space.
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A new family of weighted double Hurwitz numbers and a new ELSV-type formula with $\Omega$-classes
A new family of weighted double Hurwitz numbers yields an explicit ELSV-type formula in terms of Ω-classes.
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Landau-Ginzburg models of generalised Dubrovin-Zhang form and pole collision: Dynkin-type A
Generalizes Landau-Ginzburg models of Dubrovin-Zhang form to Dynkin type A, develops a pole-collision comparison on Hurwitz space strata, and proves a prepotential structural result plus the Ma-Zuo conjecture for arbitrary rank and dimension.