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math.CO2021
From non-unitary wheeled PROPs to smooth amplitudes and generalised convolutions
Pierre J. Clavier, Loïc Foissy, Sylvie Paycha
We introduce the concept of TRAP (Traces and Permutations), which can roughly be viewed as a wheeled PROP (Products and Permutations) without unit. TRAPs are equipped with a horizo…
math.CO2020★ 1 cited
ProPs of graphs and generalised traces
Pierre J. Clavier, Loic Foissy, Sylvie Paycha
We assign generalised convolutions (resp. traces) to graphs whose edges are decorated by smooth kernels (resp. smoothing operators) on a closed manifold. To do so, we introduce the…