Transitive factorizations of permutations and geometry
Combinatorics
2014-07-30 v1 Algebraic Geometry
Abstract
We give an account of our work on transitive factorizations of permutations. The work has had impact upon other areas of mathematics such as the enumeration of graph embeddings, random matrices, branched covers, and the moduli spaces of curves. Aspects of these seemingly unrelated areas are seen to be related in a unifying view from the perspective of algebraic combinatorics. At several points this work has intertwined with Richard Stanley's in significant ways.
Cite
@article{arxiv.1407.7568,
title = {Transitive factorizations of permutations and geometry},
author = {I. P. Goulden and D. M. Jackson},
journal= {arXiv preprint arXiv:1407.7568},
year = {2014}
}
Comments
12 pages, dedicated to Richard Stanley on the occasion of his 70th birthday