3 papers
math.KT2023
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…
math-ph2019
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…
math-ph2018
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…