- ホーム
- > 洋書
- > 英文書
- > Science / Mathematics
Full Description
This book is an introduction to techniques and results in diagrammatic algebra. It starts with abstract tensors and their categorifications, presents diagrammatic methods for studying Frobenius and Hopf algebras, and discusses their relations with topological quantum field theory and knot theory. The text is replete with figures, diagrams, and suggestive typography that allows the reader a glimpse into many higher dimensional processes. The penultimate chapter summarizes the previous material by demonstrating how to braid 3- and 4- dimensional manifolds into 5- and 6-dimensional spaces.
The book is accessible to post-qualifier graduate students, and will also be of interest to algebraists, topologists and algebraic topologists who would like to incorporate diagrammatic techniques into their research.
Contents
Introduction
Elements
Planar trivalent diagrams
The multi-category FA
Triple arrows for FA
Surfaces in 3-space
Beyond surfaces
Parentheses and so forth
Knots in space
Foams and surfaces in 4-space
Higher dimensional braids
Globular multi-categories
Bibliography
Index
