2 citations · 2 across the 3 of their papers we have counts for
4 papers
Semisimplicity and Rigidity of the Kontsevich--Zorich Cocycle for Products of Strata
Polina Baron
We study the Kontsevich--Zorich cocycle, its fixed tensor constructions, and their finite direct sums over products of strata of Abelian differentials. The acting groups are closed…
Unique ergodicity of branched covers of translation surfaces
Polina Baron, Elizaveta Shuvaeva
Let be a finite-area translation surface whose vertical flow is uniquely ergodic. Given a slit joining two nonsingular points of , one can form a branched cyclic cover by gl…
The Neumann-Moser dynamical system and the Korteweg-de Vries hierarchy
Polina Baron
At the focus of the paper are applications of the well-known Moser transformation of the C. Neumann dynamical system. It yields us a new quadratic integrable dynamical system on $\…
The Mumford dynamical system and the Gelfand-Dikii recursion
Polina Baron
In his paper "The Mumford Dynamical System and Hyperelliptic Kleinian Functions" (see arXiv:2402.09218), Victor Buchstaber developed the differential-algebraic theory of the Mumfor…