7 papers
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…
Relations between multiple zeta values and delta values from Drinfeld's associator series
Cameron James Deverall Kemp
It is shown that novel relations between multiple zeta values and single-variable multiple polylogarithms at 1/2 (delta values) can be derived by comparing two distinct, yet a prio…