Séminaire Lotharingien de Combinatoire, B72b (2014), 15 pp.
Patrick Dehornoy and Philippe Biane
Dual Garside Structure of Braids and Free Cumulants of Products
We count the n-strand braids whose normal decomposition has length at most
2 in the dual braid monoid~Bn+*
by reducing the question to a computation of free cumulants for a product of
independent variables, for which we establish a general formula.
Received: July 17, 2014.
Accepted: October 15, 2014.
Final Version: November 10, 2014.
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