Authors:
- Studies topics that are somewhat ignored in the existent literature on properads
- Contains important results, especially concerning the combinatorics of graphs and graphs substitution
- Analyses technical and conceptual difficulties in an easy-to-read manner
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2147)
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Table of contents (11 chapters)
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Front Matter
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Infinity Wheeled Properads
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Front Matter
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Back Matter
About this book
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.
Reviews
Authors and Affiliations
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Stockholm University, Stockholm, Sweden
Philip Hackney
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University of California, Los Angeles, USA
Marcy Robertson
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Ohio State University, Newark Campus, Newark, USA
Donald Yau
Bibliographic Information
Book Title: Infinity Properads and Infinity Wheeled Properads
Authors: Philip Hackney, Marcy Robertson, Donald Yau
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-319-20547-2
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Softcover ISBN: 978-3-319-20546-5Published: 14 September 2015
eBook ISBN: 978-3-319-20547-2Published: 07 September 2015
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XV, 358
Number of Illustrations: 213 b/w illustrations
Topics: Algebraic Topology, Category Theory, Homological Algebra