Operads of Wiring Diagrams

Donald Yau is Professor of Mathematics at The Ohio State University at Newark. He obtained his PhD at MIT and held a post-doctoral position at the University of Illinois at Urbana-Champaign. His research focuses on algebraic topology. He has so far authored five books and over 30 articles.

• Introduction.- Part I Wiring Diagrams.- Wiring Diagrams.- Generators and Relations.- Decomposition of Wiring Diagrams.- Finite Presentation.- Finite Presentation for Algebras over Wiring Diagrams.- Part II Undirected Wiring Diagrams.- Undirected Wiring Diagrams.- Generators and Relations.- Decomposition of Undirected Wiring Diagrams.- Finite Presentation for Undirected Wiring Diagrams.- Algebras of Undirected Wiring Diagrams.- Part III Maps Between Operads of Wiring Diagrams.- A Map from Normal to Undirected Wiring Diagrams.- A Map from Wiring Diagrams to Undirected Wiring Diagrams.- Problems.