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Mathematics > Algebraic Topology

Title: Schwarz Modular Operads Revisited: $\mathcal{SM}=\mathcal{S}\circ\mathcal{M}$

Abstract: We prove that the Feynman category encoding Schwarz's variant of modular operads is Koszul. Our proof uses a generalization of the theory of distributive laws to the groupoid colored setting.
Subjects: Algebraic Topology (math.AT); Category Theory (math.CT)
Cite as: arXiv:2404.17540 [math.AT]
  (or arXiv:2404.17540v1 [math.AT] for this version)

Submission history

From: Benjamin Ward [view email]
[v1] Fri, 26 Apr 2024 17:09:59 GMT (23kb)

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