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- W3159596521 abstract "Circuit algebras, introduced by Bar-Natan and the first author, are a generalization of Jones's planar algebras, in which one drops the planarity condition on “connection diagrams”. They provide a useful language for the study of virtual and welded tangles in low-dimensional topology. In this note, we present the circuit algebra analogue of the well-known classification of planar algebras as pivotal categories with a self-dual generator. Our main theorem is that there is an equivalence of categories between circuit algebras and the category of linear wheeled props – a type of strict symmetric tensor category with duals that arises in homotopy theory, deformation theory and the Batalin-Vilkovisky quantization formalism." @default.
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- W3159596521 date "2021-12-01" @default.
- W3159596521 modified "2023-10-03" @default.
- W3159596521 title "Circuit algebras are wheeled props" @default.
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- W3159596521 doi "https://doi.org/10.1016/j.jpaa.2021.106767" @default.
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