Description
Book SynopsisThe purpose of this monograph is to develop, in full technical detail, a unifying object called a generalized PROP. Then with an appropriate choice of pasting scheme, one recovers (colored versions of) dioperads, half-PROPs, (wheeled) operads, (wheeled) properads, and (wheeled) PROPs.
Table of Contents
- Wheeled graphs and pasting schemes: Wheeled graphs
- Special sets of graphs
- Basic operations on wheeled graphs
- Graph groupoids
- Graph substitution
- Properties of graph substitution
- Generators for graphs
- Pasting schemes
- Well-matched pasting schemes
- Generalized PROPs, algebras, and modules: Generalized PROPs
- Biased characterizations of generalized PROPs
- Functors of generalized PROPs
- Algebras over generalized PROPs
- Alternative descriptions of generalized PROPs
- Modules over generalized PROPs
- May modules over algebras over operads
- Bibliography
- Index
