Dual Garside structure of braids and free cumulants of products
classification
🧮 math.CO
keywords
braidscumulantsdualfreebraidcomputationcountdecomposition
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We count the n-strand braids whose normal decomposition has length at most two in the dual braid monoid B_n+* by reducing the question to a computation of free cumulants for a product of independent variables, for which we establish a general formula.
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