**Contemporary Mathematics**

Volume: 318;
2003;
213 pp;
Softcover

MSC: Primary 00; 16; 18; 57; 83;
Secondary 15

Print ISBN: 978-0-8218-2794-9

Product Code: CONM/318

List Price: $69.00

Individual Member Price: $55.20

**Electronic ISBN: 978-0-8218-7908-5
Product Code: CONM/318.E**

List Price: $69.00

Individual Member Price: $55.20

# Diagrammatic Morphisms and Applications

Share this page *Edited by *
*David E. Radford; Fernando J. O. Souza; David N. Yetter*

The technique of diagrammatic morphisms is an important ingredient in comprehending and visualizing certain types of categories with structure. It was widely used in this capacity in many areas of algebra, low-dimensional topology and physics. It was also applied to problems in classical and quantum information processing and logic.

This volume contains articles based on talks at the Special Session, “Diagrammatic Morphisms in Algebra, Category Theory, and Topology”, at the AMS Sectional Meeting in San Francisco. The articles describe recent achievements in several aspects of diagrammatic morphisms and their applications. Some of them contain detailed expositions on various diagrammatic techniques. The introductory article by D. Yetter is a thorough account of the subject in a historical perspective.

#### Table of Contents

# Table of Contents

## Diagrammatic Morphisms and Applications

- Contents v6 free
- Diagrammatic morphisms 116 free
- Spin foam perturbation theory 924
- Unlinked embedded graphs 2338
- Report on cross product bialgebras in braided categories 2944
- Diagrammatic computations for quandles and cocycle knot invariants 5166
- Lax monoids, pseudo-operads, and convolution 7590
- Diagrammatic formulation of multi-braided quantum groups 97112
- A matrix model for quantum SL2 107122
- Bi-oriented quantum algebras, and a generalized Alexander polynomial for virtual links 113128
- Towards an algebraic characterization of 3-dimensional cobordisms 141156
- Operad of graphs, convolution and quasi Hopf algebra 175190
- 1. Introduction 175190
- 2. Graph, Sketch and Operad 178193
- 3. Operad of 1-Graphs 179194
- 4. Examples of Operads of 1-Graphs 180195
- 5. Deductive System for n-Graphs 183198
- 6. Quasi Graßmann Convolution 184199
- 7. Quasi Clifford Convolution 185200
- 8. Reidemeister Operadic Moves 187202
- 9. Graphical Calculus: Inference Rules 188203
- 10. Convolution: unital, antipodal, and nearest to associative 190205
- References 194209

- SUn–quantum invariants for periodic links 199214
- Weak omega-categories 207222

#### Readership

Research mathematicians interested in algebra, category theory, and low-dimensional topology.