Online Public Access Catalogue (OPAC)
Library,Documentation and Information Science Division

“A research journal serves that narrow

borderland which separates the known from the unknown”

-P.C.Mahalanobis


Image from Google Jackets

Infinity properads and infinity wheeled properads / Philip Hackney, Marcy Robertson and Donald Yau.

By: Contributor(s): Series: Lecture notes in mathematics ; 2147.Publication details: Switzerland : Springer, 2015.Description: xv, 358 p. : illustrations ; 24 cmISBN:
  • 9783319205465
Subject(s): DDC classification:
  • 512.64 23 H123
Contents:
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.
Summary: 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.
Tags from this library: No tags from this library for this title. Log in to add tags.
Holdings
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
Total holds: 0

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.

There are no comments on this title.

to post a comment.
Library, Documentation and Information Science Division, Indian Statistical Institute, 203 B T Road, Kolkata 700108, INDIA
Phone no. 91-33-2575 2100, Fax no. 91-33-2578 1412, ksatpathy@isical.ac.in