Infinity Properads and Infinity Wheeled Properads

• Main Authors: Hackney, Philip (Author), Robertson, Marcy (Author), Yau, Donald (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Edition: 1st ed. 2015.
• Series: Lecture Notes in Mathematics, 2147
• Subjects: Mathematics.; Category theory (Mathematics).; Homological algebra.; Algebraic topology.; Algebraic Topology.; Category Theory, Homological Algebra.

The topic of this book sits at the interface of the theory of higher categories (in the guise of (∞,1)-categories) and the theory of properads. Properads are devices more general than operads, and enable one to encode bialgebraic, rather than just (co)algebraic, structures.   The text extends both t...

Table of Contents:

• Introduction
• Graphs
• Properads
• Symmetric Monoidal Closed Structure on Properads
• Graphical Properads
• Properadic Graphical Category
• Properadic Graphical Sets and Infinity Properads
• Fundamental Properads of Infinity Properads
• Wheeled Properads and Graphical Wheeled Properads
• Infinity Wheeled Properads
• What's Next?.