32 citations · 187 across the 32 of their papers we have counts for
5 papers · 1 filter
On the combinatorics of the refined 1-leg DT/PT correspondence
Davide Accadia, Danilo Lewański, Sergej Monavari
We provide a new proof of a result of Bessenrodt on the relation among the generating series of reversed plane partitions and skew plane partitions, motivated by the geometric DT/P…
Completed Cycles Leaky Hurwitz Numbers
Davide Accadia, Maksim Karev, Danilo Lewański
We introduce -completed cycles -leaky Hurwitz numbers and prove piecewise polynomiality as well as establishing their chamber polynomiality structure and their wall cross…
Half-Spin Tautological Relations and Faber's Proportionalities of Kappa Classes
Elba Garcia-Failde, Reinier Kramer, Danilo Lewański +1
We employ the -spin tautological relations to provide a particular combinatorial identity. We show that this identity is a statement equivalent to Faber's formula for proporti…
Towards an orbifold generalization of Zvonkine's -ELSV formula
Reinier Kramer, Danilo Lewanski, Alexandr Popolitov +1
We perform a key step towards the proof of Zvonkine's conjectural -ELSV formula that relates Hurwitz numbers with completed -cycles to the geometry of the moduli spaces o…
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…