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math-ph2014★ 29 cited
Generating functions for weighted Hurwitz numbers
Mathieu Guay-Paquet, J. Harnad
Double Hurwitz numbers enumerating weighted -sheeted branched coverings of the Riemann sphere or, equivalently, weighted paths in the Cayley graph of generated by transpos…
math-ph2014
2D Toda τ-functions as combinatorial generating functions
Mathieu Guay-Paquet, J. Harnad
Two methods of constructing 2D Toda -functions that are generating functions for certain geometrical invariants of a combinatorial nature are related. The first involves generat…