157 citations · 373 across the 31 of their papers we have counts for
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Around spin Hurwitz numbers
A. D. Mironov, A. Yu Morozov, S. M. Natanzon +1
We present a review of the spin Hurwitz numbers, which count the ramified coverings with spin structures. They are related to peculiar Schur functions, which are actually relat…
Integrable hierarchies associated to infinite families of Frobenius manifolds
Alexey Basalaev, Petr Dunin-Barkowski, Sergey Natanzon
We propose a new construction of an integrable hierarchy associated to any infinite series of Frobenius manifolds satisfying a certain stabilization condition. We study these hiera…
Hurwitz numbers from Feynman diagrams
Sergey M. Natanzon, Aleksandr Yu. Orlov
We obtain Hurwitz numbers as the number of Feynman diagrams of a certain type divided by the order of the automorphism group of the diagram.
Formal solution to the KP hierarchy
S. Natanzon, A. Zabrodin
We find all formal solutions to the -dependent KP hierarchy. They are characterized by certain Cauchy-like data. The solutions are found in the form of formal series for the…
BKP and projective Hurwitz numbers
Sergei Natanzon, Alexander Orlov
We consider -fold branched coverings of the projective plane and show that the hypergeometric tau function of the BKP hierarchy of Kac and van de Leur is the gen…