English

Operads revisited

Category Theory 2018-01-16 v1 Mathematical Physics math.MP

Abstract

Operads may be represented as symmetric monoidal functors on a small symmetric monoidal category. We discuss the axioms which must be imposed on a symmetric monoidal functor in order that it give rise to a theory similar to the theory of operads: we call such functors patterns. We also develop the enriched version of the theory, and show how it may be applied to axiomatize topological field theory.

Keywords

Cite

@article{arxiv.math/0701767,
  title  = {Operads revisited},
  author = {Ezra Getzler},
  journal= {arXiv preprint arXiv:math/0701767},
  year   = {2018}
}

Comments

25 pages