Infinity properads and infinity wheeled properads / Philip Hackney, Marcy Robertson and Donald Yau.
Series: Lecture notes in mathematics ; 2147.Publication details: Switzerland : Springer, 2015.Description: xv, 358 p. : illustrations ; 24 cmISBN:- 9783319205465
- 512.64 23 H123
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 512.64 H123 (Browse shelf(Opens below)) | Available | 136459 |
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| 512.6202855133 B595 Analysis of categorical data with R/ | 512.6202855133 B595 Analysis of categorical data with R/ | 512.64 G411 Sphere fibrations over highly connected manifolds/ | 512.64 H123 Infinity properads and infinity wheeled properads / | 512.64 M321 Homological algebra : | 512.64 Os81 Basic homological algebra | 512.64 P438 Introduction to Abelian model structures and Gorenstein homological dimensions / |
Includes bibliographical references and index.
1. Introduction --
2. Graphs --
3. Properads --
4. Symmetric Monoidal Closed Structure on Properads --
5. Graphical Properads --
6. Properadic Graphical Category --
7. Properadic Graphical Sets and Infinity Properads --
8. Fundamental Properads of Infinity Properads --
9. Wheeled Properads and Graphical Wheeled Properads --
10. Infinity Wheeled Properads --
11. What's Next?--
Notation--
References--
Index.
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 the Joyal-Lurie approach to higher categories and the Cisinski-Moerdijk-Weiss approach to higher operads, and provides a foundation for a broad study of the homotopy theory of properads. This work also serves as a complete guide to the generalised graphs which are pervasive in the study of operads and properads. A preliminary list of potential applications and extensions comprises the final chapter. Infinity Properads and Infinity Wheeled Properads is written for mathematicians in the fields of topology, algebra, category theory, and related areas. It is written roughly at the second year graduate level, and assumes a basic knowledge of category theory.
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