Operads, homotopy algebra and iterated integrals for double loop spaces

TL;DR

This paper introduces operads and their role in homotopy algebra and iterated integrals, providing foundational background relevant to double loop spaces and topological field theories.

Contribution

It offers an in-depth background on operads and their applications in homotopy algebra and topological field theory, aimed at specialists.

Findings

Operads are essential in understanding 2d topological field theories.

Connections between operads and iterated integrals are explored.

Provides foundational insights for further research in homotopy algebra.

Abstract

This paper provides some background to the theory of operads, used in the first author's papers on 2d topological field theory (hep-th/921204, CMP 159 (1994), 265-285; hep-th/9305013). It is intended for specialists.