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math.CT2024
Modular operads, iterated distributive laws and a nerve theorem for circuit algebras
Sophie Raynor
Circuit algebras are a symmetric version of Jones's planar algebras. They originated in quantum topology as a framework for encoding virtual crossings. This paper extends existing…
math.CT2021★ 1 cited
Brauer diagrams, modular operads, and a graphical nerve theorem for circuit algebras
Sophie Raynor
Circuit algebras, used in the study of finite-type knot invariants, are a symmetric analogue of Jones's planar algebras. They are very closely related to circuit operads, which are…
math.CT2019★ 6 cited
Graphical combinatorics and a distributive law for modular operads
Sophie Raynor
This work presents a detailed analysis of the combinatorics of modular operads. These are operad-like structures that admit a contraction operation as well as an operadic multiplic…