Transitive factorizations of permutations and geometry

zbMath1364.05006arXiv1407.7568MaRDI QIDQ2988252

David M. Jackson, Ian P. Goulden

Publication date: 18 May 2017

Full work available at URL: https://arxiv.org/abs/1407.7568

zbMATH Keywords

random matricesbranched coversmoduli spaces of curvesenumeration of graph embeddings

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Symmetric functions and generalizations (05E05) Planar graphs; geometric and topological aspects of graph theory (05C10) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Random matrices (algebraic aspects) (15B52) Low-dimensional topology of special (e.g., branched) coverings (57M12)

Related Items (6)

Hurwitz numbers for reflection groups I: generatingfunctionology ⋮ Trees, parking functions and factorizations of full cycles ⋮ \(\operatorname{GL}_n(\mathbb{F}_q)\)-analogues of factorization problems in the symmetric group ⋮ A five-element transformation monoid on labelled trees ⋮ Factorization problems in complex reflection groups ⋮ Combinatorial and algebraic enumeration: a survey of the work of Ian P. Goulden and David M. Jackson

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