Multispecies Weighted Hurwitz Numbers
Mathematical Physics
2018-06-26 v7 High Energy Physics - Theory
Combinatorics
math.MP
Abstract
The construction of hypergeometric Toda -functions as generating functions for weighted Hurwitz numbers is extended to multispecies families. Both the enumerative geometrical significance of multispecies weighted 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. The particular case of multispecies quantum weighted Hurwitz numbers is studied in detail.
Keywords
Cite
@article{arxiv.1504.07512,
title = {Multispecies Weighted Hurwitz Numbers},
author = {J. Harnad},
journal= {arXiv preprint arXiv:1504.07512},
year = {2018}
}
Comments
this is substantially enhanced version of arXiv:1410.8817