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Noninjectivity of the monodromy of certain equicritical strata
Published 4 Nov 2024 in math.GT and math.AG | (2411.02222v1)
Abstract: An equicritical stratum is the locus of univariate monic squarefree complex polynomials where the critical points have prescribed multiplicities. Tracking the positions of both roots and critical points, there is a natural ``monodromy map'' taking the fundamental group into a braid group. We show here that when there are exactly two critical points, this monodromy map is noninjective.
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