34 citations · 56 across the 6 of their papers we have counts for
6 papers
Belyi pair for the orientation cover of
Natalia Amburg, Elena Kreines
Let be the Deligne-Mumford compactification of the moduli space of genus 0 real algebraic curves with 5 marked points. By ${\mathcal L}(…
On Products of Random Matrices
Natalia Amburg, Aleksandr Yu. Orlov, Dmitry Vasiliev
We introduce a family of models, which we name matrix models associated with children's drawings -- the so-called dessin d'enfant. Dessins d'enfant are graphs of a special kind dra…
Correspondence between Feynman diagrams and operators in quantum field theory that emerges from tensor model
N. Amburg, H. Itoyama, A. Mironov +3
A novel functorial relationship in perturbative quantum field theory is pointed out that associates Feynman diagrams (FD) having no external line in one theory with si…
Poincare polynomial for the moduli space and the number of points in
N. Amburg, E. Kreines, G. Shabat
We obtain a combinatorial proof that the number of points of the space satisfies the recurrent formula for Poincare polynomials of th…
Computation of the first Stiefel-Whitney class for the variety
N. Ya. Amburg, E. M. Kreines
We compute the class which is Poincare dual to the first Stiefel-Whitney class for the Deligne-Mumford compactification of the moduli space of real algebraic curves of genus 0 with…
Catalog of dessins d'enfants with \le 4 edges
N. M. Adrianov, N. Ya. Amburg, V. A. Dremov +5
In this work all the dessins d'enfant with no more than 4 edges are listed and their Belyi pairs are computed. In order to enumerate all dessins the technique of matrix model compu…