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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 / David E. Radford, Fernando J.O. Souza, David N. Yetter, editors.
- Format:
- Book
- Conference/Event
- Author/Creator:
- AMS Special Session on Diagrammatic Morphisms in Algebra, Category Theory, and Topology, Corporate Author.
- Conference Name:
- AMS Special Session on Diagrammatic Morphisms in Algebra, Category Theory, and Topology (2000 : San Francisco, California), issuing body.
- Series:
- Contemporary mathematics (American Mathematical Society) ; v. 318.
- Contemporary mathematics, 0271-4132 ; 318
- Language:
- English
- Subjects (All):
- Morphisms (Mathematics)--Congresses.
- Morphisms (Mathematics).
- Topology--Congresses.
- Topology.
- Categories (Mathematics)--Congresses.
- Categories (Mathematics).
- Physical Description:
- 1 online resource (232 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [2003]
- Language Note:
- English
- Summary:
- 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.
- Contents:
- ""Contents""; ""Diagrammatic morphisms""; ""Spin foam perturbation theory""; ""Unlinked embedded graphs""; ""Report on cross product bialgebras in braided categories""; ""Diagrammatic computations for quandles and cocycle knot invariants""; ""Lax monoids, pseudo-operads, and convolution""; ""Diagrammatic formulation of multi-braided quantum groups""; ""A matrix model for quantum SL2""; ""Bi-oriented quantum algebras, and a generalized Alexander polynomial for virtual links""; ""Towards an algebraic characterization of 3-dimensional cobordisms""; ""1. Introduction""; ""2. The category Cob""
- ""SUn�quantum invariants for periodic links""""Weak omega-categories""
- Notes:
- Description based upon print version of record.
- Includes bibliographical references.
- Description based on print version record.
- ISBN:
- 0-8218-7908-1
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