Hultman numbers, polygon gluings and matrix integrals

Details Hultman numbers, polygon gluings and matrix integrals Hultman numbers, polygon gluings and matrix integrals

2011-11-13

arxiv.org/abs/1111.3061v1

Mathematics

Probability

9 pages, 2 figures

Scientific paper

The Hultman numbers enumerate permutations whose cycle graph has a given number of alternating cycles (they are relevant to the Bafna-Pevzner approach to genome comparison and genome rearrangements). We give two new interpretations of the Hultman numbers: in terms of polygon gluings and as integrals over the space of complex matrices, and derive some properties of their generating functions.

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