18 citations · 33 across the 6 of their papers we have counts for
6 papers
On Cohomology of Graph Complexes
Simen Bruinsma
This is a copy of my bachelor thesis, written under supervision of Sergey Shadrin in 2010. Original abstract: In this thesis we prove that the wheeled Poisson operad is not a wheel…
Universal first-order Massey product of a prefactorization algebra
Simen Bruinsma, Alexander Schenkel, Benoit Vicedo
This paper studies the universal first-order Massey product of a prefactorization algebra, which encodes higher algebraic operations on the cohomology. Explicit computations of the…
Relative Cauchy evolution for linear homotopy AQFTs
Simen Bruinsma, Christopher J. Fewster, Alexander Schenkel
This paper develops a concept of relative Cauchy evolution for the class of homotopy algebraic quantum field theories (AQFTs) that are obtained by canonical commutation relation qu…
Linear Yang-Mills theory as a homotopy AQFT
Marco Benini, Simen Bruinsma, Alexander Schenkel
It is observed that the shifted Poisson structure (antibracket) on the solution complex of Klein-Gordon and linear Yang-Mills theory on globally hyperbolic Lorentzian manifolds adm…
Coloring Operads for Algebraic Field Theory
Simen Bruinsma
In these proceedings we summarize previous work where we formalize a general concept of algebraic field theories using operads. After giving a gentle reminder of algebraic quantum…
Algebraic field theory operads and linear quantization
Simen Bruinsma, Alexander Schenkel
We generalize the operadic approach to algebraic quantum field theory [arXiv:1709.08657] to a broader class of field theories whose observables on a spacetime are algebras over any…