Topological expansion of the coefficients of zonal polynomials in genus one

2011/08/16 by Agnieszka Czy\zewska-Jankowska, Czy\zewska-Jankowska, Agnieszka
Computer Science · Mathematics · #05C30 #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Mathematics #Mathematical Dynamics and Fractals #Representation Theory (math.RT) #Topological and Geometric Data Analysis #math.CO #math.RT #msc:05C30

paper · pdf · doi:10.48550/arxiv.1108.3173

9 pages, 8 figures

arxiv created 2011/08/16 · openalex publication_date 2011/08/16 · arxiv updated 2011/08/17 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28

Abstract

We use a combinatorial interpretation of the coefficients of zonal Kerov polynomials as a number of unoriented maps to derive an explicit formula for the coefficients in genus one.

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