scientific article; zbMATH DE number 7806480

arXiv2305.01100MaRDI QIDQ6197828

Jean-Bernard Zuber, Robert Coquereaux

Publication date: 19 February 2024

Full work available at URL: https://arxiv.org/abs/2305.01100

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

set-partitiongenus-dependent enumeration

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Partitions of sets (05A18) Bell and Stirling numbers (11B73) Random matrices (algebraic aspects) (15B52)

Cites Work

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• Counting genus one partitions and permutations
• Factoring \(n\)-cycles and counting maps of given genus
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• Graphs on surfaces and their applications. Appendix by Don B. Zagier
• Counting partitions of a fixed genus
• The Euler characteristic of the moduli space of curves
• Planar diagrams
• Extensions of set partitions and permutations
• 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)
• Counting Cycles in Permutations by Group Characters, With an Application to a Topological Problem

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