101 citations · 262 across the 9 of their papers we have counts for
9 papers
Hurwitz numbers from matrix integrals over Gaussian measure
Sergei M. Natanzon, Aleksandr Yu. Orlov
We explain how Gaussian integrals over ensemble of complex matrices with source matrices generate Hurwitz numbers of the most general type, namely, Hurwitz numbers with arbitrary o…
Hurwitz numbers and BKP hierarchy
S. M. Natanzon, A. Yu. Orlov
We consider special series in ratios of the Schur functions which are defined by integers $\textsc{f}\ge 0$ and $\textsc{e} \le 2$, and also by the set of parameters $n_i,q_i,…
On KP-integrable Hurwitz functions
A. Alexandrov, A. Mironov, A. Morozov +1
There is now a renewed interest to the Hurwitz tau-function, counting the isomorphism classes of Belyi pairs, arising in the study of equilateral triangulations and Grothiendicks's…
Integrability properties of Hurwitz partition functions. II. Multiplication of cut-and-join operators and WDVV equations
A. Mironov, A. Morozov, S. Natanzon
Correlators in topological theories are given by the values of a linear form on the products of operators from a commutative associative algebra (CAA). As a corollary, partition fu…
Algebra of differential operators associated with Young diagrams
A. Mironov, A. Morozov, S. Natanzon
We establish a correspondence between Young diagrams and differential operators of infinitely many variables. These operators form a commutative associative algebra isomorphic to t…
Extention cohomological fields theories and noncommutative Frobenius manifolds
S. M. Natanzon
We construct some extension ({\it Stable Field Theory}) of Cohomological Field Theory. The Stable Field Theory is a system of homomorphisms to some vector spaces generated by spher…