DEGREE OF THE -OPERATOR AND NONCROSSING PARTITIONS

DOI10.1017/S0004972719001084zbMath1436.05007MaRDI QIDQ5222134

No author found.

Publication date: 1 April 2020

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

permutationnoncrossing partitioncut-and-join operator\(W\)-operator

Mathematics Subject Classification ID

Partitions of sets (05A18) Permutations, words, matrices (05A05) Symmetric functions and generalizations (05E05) Representations of group algebras (22D20)

Cites Work

• Complete set of cut-and-join operators in the Hurwitz-Kontsevich theory
• Graphs on surfaces and their applications. Appendix by Don B. Zagier
• Transitive factorizations in the symmetric group, and combinatorial aspects of singularity theory
• A formula about W-operator and its application to Hurwitz number
• A proof of a conjecture for the number of ramified coverings of the sphere by the torus
• The number of ramified coverings of the sphere by the double torus, and a general form for higher genera
• The number of ramified coverings of the sphere by the torus and surfaces of higher genera
• Noncrossing partitions
• Algebra of differential operators associated with Young diagrams
• Towards the geometry of double Hurwitz numbers
• A Differential Operator for Symmetric Functions and the Combinatorics of Multiplying Transpositions
• Transitive factorisations into transpositions and holomorphic mappings on the sphere

This page was built for publication: DEGREE OF THE -OPERATOR AND NONCROSSING PARTITIONS