De Gruyter Compact Closed 2-Categories Mathematics Book

Explore advanced mathematical structures with Compact Closed 2-Categories: Duality, Enrichment, and Strictification. This volume from the De Gruyter Studies in Mathematics series addresses the specific need for a robust theory of duality in monoidal 2-categories, particularly regarding fusion categories from finite group representations. This book builds a foundation for duals in dimension two by connecting 3-dimensional category theory with enriched and symmetric monoidal 2-categories. Readers can follow complex concepts through the use of wire diagrams. This typographical tool provides the geometric appeal of string diagrams while maintaining the clarity of standard commutative diagrams, making the mathematical framework more accessible and easier to visualize. Ideal for researchers and students in algebra and category theory, this text provides the necessary theoretical tools to understand how topological and categorical structures translate through the Cobordism Hypothesis. It offers a deep dive into the mechanics of dimension two duality within a professional academic context.