Involutive Category Theory

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 authored over forty articles and eight books, including the Springer titles Operads of Wiring Diagrams and Infinity Properads and Infinity Wheeled Properads.

“This is the first book whose central topic is involutive categories. It is written at the first year graduate level and is pretty much self-contained. It contains exercises and notes at the end of every chapter. It may be a useful reference for mathematicians and physicists working with involutive objects.” (Bojana Femic, Mathematical Reviews, May, 2022)

• Category Theory.- Involutive Categories.- Coherence of Involutive Categories.- Involutive Monoidal Categories.- Coherence of Involutive Monoidal Categories.- Coherence of Involutive Symmetric Monoidal Categories.- Categorical Gelfand-Naimark-Segal Construction.- Involutive Operads.