6 papers · 1 filter
Cartier integration of infinitesimal 2-braidings via 2-holonomy of the CMKZ 2-connection, II: The pentagonator
Cameron Kemp
This is a continuation of the previous paper (arXiv:2508.01944) in this series. We recontextualise Cirio and Martins' work to motivate our fundamental conjecture that the Drinfeld-…
Homotopy Lie algebras and coherent infinitesimal 2-braidings
Cameron Kemp
Given a homotopy Lie algebra (i.e. an -algebra) , we show concretely how the Lada-Markl -modules (i.e. representations) assemble into a symmet…
Shifted Poisson structures on higher Chevalley-Eilenberg algebras
Cameron Kemp, Robert Laugwitz, Alexander Schenkel
This paper develops a graphical calculus to determine the -shifted Poisson structures on finitely generated semi-free commutative differential graded algebras. When applied to t…
Cartier integration of infinitesimal 2-braidings via 2-holonomy of the CMKZ 2-connection, I: Hexagonators and the Breen polytope
Cameron James Deverall Kemp
This paper follows on from "Syllepses from 3-shifted Poisson structures and second-order integration of infinitesimal 2-braidings". Given a symmetric strict infinitesimal 2-braidin…
Syllepses from 3-shifted Poisson structures and second-order integration of infinitesimal 2-braidings
Cameron James Deverall Kemp
This paper follows on from ``Infinitesimal 2-braidings from 2-shifted Poisson structures". It is demonstrated that the hexagonators appearing at second order satisfy the requisite…
Infinitesimal 2-braidings from 2-shifted Poisson structures
Cameron Kemp, Robert Laugwitz, Alexander Schenkel
It is shown that every -shifted Poisson structure on a finitely generated semi-free commutative differential graded algebra defines a very explicit infinitesimal -braidin…