McMahon's Formula via Free Fermions
Combinatorics
2012-10-29 v1
Abstract
We give an elementary derivation of the vertex-operator derivation McMahon formula, counting all plane partitions of all size into a single generating function. We fill in some details appearing in Okounkov, Reshetikhin, and Vafa based on free fermions by defining an "interlacing operator".
Keywords
Cite
@article{arxiv.1210.7109,
title = {McMahon's Formula via Free Fermions},
author = {John Mangual},
journal= {arXiv preprint arXiv:1210.7109},
year = {2012}
}
Comments
6 pages, 1 figure