Contemporary Mathematics 2003; 213 pp; softcover Volume: 318 ISBN10: 0821827944 ISBN13: 9780821827949 List Price: US$65 Member Price: US$52 Order Code: CONM/318
 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, lowdimensional 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. Readership Research mathematicians interested in algebra, category theory, and lowdimensional topology. Table of Contents  D. N. Yetter  Diagrammatic morphisms
 J. C. Baez  Spin foam perturbation theory
 J. W. Barrett  Unlinked embedded graphs
 Y. Bespalov and B. Drabant  Report on cross product bialgebras in braided categories
 J. S. Carter, S. Kamada, and M. Saito  Diagrammatic computations for quandles and cocycle knot invariants
 B. Day and R. Street  Lax monoids, pseudooperads, and convolution
 M. Đ urđ evich  Diagrammatic formulation of multibraided quantum groups
 C. Frohman and J. KaniaBartoszynska  A matrix model for quantum \(SL_2\)
 L. H. Kauffman and D. Radford  Bioriented quantum algebras, and a generalized Alexander polynomial for virtual links
 T. Kerler  Towards an algebraic characterization of 3dimensional cobordisms
 Z. Oziewicz  Operad of graphs, convolution and quasi Hopf algebra
 J. H. Przytycki and A. S. Sikora  \(SU_n\)quantum invariants for periodic links
 R. Street  Weak omegacategories
