The genus series for maps

DOI10.1016/0022-4049(94)00155-3zbMath0844.05040OpenAlexW2013844898MaRDI QIDQ1910735

David M. Jackson

Publication date: 22 August 1996

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(94)00155-3

zbMATH Keywords

surfaceembeddingintegral representationunitary groupsymmetric groupsymmetric functionsHaar measureconnected graphrooted mapcombinatorial representationgenus seriesrotation schemeWeyl integration theorems

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Ordinary representations and characters (20C15) Planar graphs; geometric and topological aspects of graph theory (05C10) Isotopy and pseudo-isotopy (57N37)

Related Items (2)

Factorisations for partition functions of random Hermitian matrix models ⋮ The semi-arc automorphism group of a graph with application to map enumeration

Cites Work

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• Embedding graphs in surfaces
• Quantum field theory techniques in graphical enumeration
• The topological theory of current graphs
• The Euler characteristic of the moduli space of curves
• A Census of Planar Triangulations
• Counting Cycles in Permutations by Group Characters, With an Application to a Topological Problem
• A Character Theoretic Approach to Embeddings of Rooted Maps in an Orientable Surface of Given Genus

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