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Quasi-polynomiality of monotone orbifold Hurwitz numbers and Grothendieck's dessins d'enfants
Reinier Kramer, Danilo Lewanski, Sergey Shadrin
We prove quasi-polynomiality for monotone and strictly monotone orbifold Hurwitz numbers. The second enumerative problem is also known as enumeration of a special kind of Grothendi…
Central invariants revisited
Guido Carlet, Reinier Kramer, Sergey Shadrin
We use refined spectral sequence arguments to calculate known and previously unknown bi-Hamiltonian cohomology groups, which govern the deformation theory of semi-simple bi-Hamilto…
Primary invariants of Hurwitz Frobenius manifolds
Petr Dunin-Barkowski, Paul Norbury, Nicolas Orantin +2
Hurwitz spaces parameterizing covers of the Riemann sphere can be equipped with a Frobenius structure. In this review, we recall the construction of such Hurwitz Frobenius manifold…