2012/10/26 by John Mangual, Mangual, John
Mathematics · #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Random Matrices and Applications
paper · pdf · doi:10.48550/arxiv.1210.7109
openalex publication_date 2012/10/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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".