Algebras over not too Little Discs

期刊论文
发表日期：

2026年1月14日

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Damien Calaque,
Victor Carmona

摘要

By the introduction of locally constant prefactorization algebras at a fixed scale, we show a mathematical incarnation of the fact that observables at a given scale of a topological field theory propagate to every scale over euclidean spaces. The key is that these prefactorization algebras over are equivalent to algebras over the little n-disc operad. For topological field theories with defects, we get analogous results by replacing with the spaces modelling corners . As a toy example in 1d, we quantize, once more, constant Poisson structures.