Noninjectivity of the monodromy of certain equicritical strata
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math.GT
math.AG
keywords
criticalmonodromypointsequicriticalgrouptherebraidcertain
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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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