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Multispecies quantum Hurwitz numbers

Published 31 Oct 2014 in math-ph, hep-th, math.CO, math.MP, math.PR, and nlin.SI | (1410.8817v4)

Abstract: The construction of hypergeometric 2D Toda $\tau$-functions as generating functions for quantum Hurwitz numbers is extended here to multispecies families. Both the enumerative geometrical significance of these multispecies quantum Hurwitz numbers as weighted enumerations of branched coverings of the Riemann sphere and their combinatorial significance in terms of weighted paths in the Cayley graph of $S_n$ are derived.

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Authors (1)

  1. J. Harnad 

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