Diagrammatic morphisms and applications : AMS Special Session on Diagrammatic Morphisms in Algebra, Category Theory, and Topology, October 21-22, 2000, San Francisco State University, San Francisco, California
著者
書誌事項
Diagrammatic morphisms and applications : AMS Special Session on Diagrammatic Morphisms in Algebra, Category Theory, and Topology, October 21-22, 2000, San Francisco State University, San Francisco, California
（Contemporary mathematics, 318）
American Mathematical Society, c2003
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Includes bibliographies
内容説明・目次
内容説明
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.
目次
Diagrammatic morphisms by D. N. Yetter Spin foam perturbation theory by J. C. Baez Unlinked embedded graphs by J. W. Barrett Report on cross product bialgebras in braided categories by Y. Bespalov and B. Drabant Diagrammatic computations for quandles and cocycle knot invariants by J. S. Carter, S. Kamada, and M. Saito Lax monoids, pseudo-operads, and convolution by B. Day and R. Street Diagrammatic formulation of multi-braided quantum groups by M. D urd evich A matrix model for quantum $SL_2$ by C. Frohman and J. Kania-Bartoszynska Bi-oriented quantum algebras, and a generalized Alexander polynomial for virtual links by L. H. Kauffman and D. Radford Towards an algebraic characterization of 3-dimensional cobordisms by T. Kerler Operad of graphs, convolution and quasi Hopf algebra by Z. Oziewicz $SU_n$-quantum invariants for periodic links by J. H. Przytycki and A. S. Sikora Weak omega-categories by R. Street.
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