Multispecies quantum Hurwitz numbers
Mathematical Physics
2016-11-01 v4 High Energy Physics - Theory
Combinatorics
math.MP
Probability
Exactly Solvable and Integrable Systems
Abstract
The construction of hypergeometric 2D Toda -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 are derived.
Keywords
Cite
@article{arxiv.1410.8817,
title = {Multispecies quantum Hurwitz numbers},
author = {J. Harnad},
journal= {arXiv preprint arXiv:1410.8817},
year = {2016}
}
Comments
11 pages.This is the revised version posted March 30, 2015