An algorithmic enumeration method for weighted bi-colored plane trees is developed and applied to compute strong Hurwitz numbers for three-point branch data and the number of connected components in the moduli space of HCMU spheres with one conical singularity.
[IS10] Kiyoshi Igusa and Ralf Schiffler
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
years
2026 3verdicts
UNVERDICTED 3representative citing papers
Artin groups of XXL type are isomorphic to their dual Artin groups for any Coxeter element.
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.
citing papers explorer
-
Counting Weighted Bi-Colored Plane Trees and Their Geometric Applications
An algorithmic enumeration method for weighted bi-colored plane trees is developed and applied to compute strong Hurwitz numbers for three-point branch data and the number of connected components in the moduli space of HCMU spheres with one conical singularity.
-
The dual Artin isomorphism for Artin groups of XXL type
Artin groups of XXL type are isomorphic to their dual Artin groups for any Coxeter element.
-
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.