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Permuting the roots

We combine topology of braids and tropical geometry to describe the Galois group of a typical rational function composed of prescribed monomials. The same new technique solves several similar multivariate problems.

Permuting the roots of univariate polynomials whose coefficients depend on parameters

In press Journal of the European Mathematical Society (2024)

A. Esterov, L. Lang

In press Journal of the European Mathematical Society (2024)

A. Esterov, L. Lang