Moment categories and operads
Clemens Berger – 30 April 2014, 7 May 2014
Moment categories are equipped with a system of split idempotent
endomorphisms, called moments, such that each morphism is fixed by a
well-determined target moment.Each moment category of finite type defines a specific type of operad
which records the combinatorics of partitioning moments into elementary
ones. In this way the notions of symmetric, non-symmetric and
n-operad correspond to moment structures on Gamma (Segal), Delta
(Eilenberg) and Theta_n (Joyal) respectively.
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