2014/07/20 by Alexei Pastor, Pastor, Alexei
Mathematics · #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Mathematics #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #math.CO
paper · pdf · doi:10.48550/arxiv.1407.5231
Russian version published in Zap. Nauchn. Sem. POMI v.417 (2013). arXiv admin note: text overlap with arXiv:1306.2221
arxiv created 2014/07/20 · openalex publication_date 2014/07/20 · arxiv updated 2014/07/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper the number of ways to glue together several polygons into a surface of genus g has been investigated. We've given an elementary proof on the formula for the generating function Cg[2](z) of the number of gluings surface of genus g from two polygons (see also [4]). Moreover, we've proven a similar formula for gluings surface of genus g from three polygons. As a corollary, we've proven a direct formula for the number of gluings torus from three polygons.