Counting partitions by genus. I. Genus 0 to 2

DOI10.54550/eca2024v4s2r13MaRDI QIDQ6659979

Jean-Bernard Zuber

Publication date: 9 January 2025

Published in: Enumerative Combinatorics and Applications (Search for Journal in Brave)

zbMATH Keywords

higher genusset-partitions

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Partitions of sets (05A18) Combinatorial probability (60C05)

Cites Work

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• Counting genus one partitions and permutations
• Counting surfaces. CRM Aisenstadt chair lectures
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• Counting partitions of a fixed genus
• The Euler characteristic of the moduli space of curves
• Planar diagrams
• Counting rooted maps by genus. I
• Counting rooted maps by genus. II
• Sur les partitions non croisées d'un cycle. (The non-crossed partitions of a cycle)
• Beyond islands: a free probabilistic approach

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