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Diagrammatic Morphisms and Applications
 
Edited by: David E. Radford University of Illinois at Chicago, Chicago, IL
Fernando J. O. Souza University of Iowa, Iowa City, IA
David N. Yetter Kansas State University, Manhattan, KS
Diagrammatic Morphisms and Applications
Softcover ISBN:  978-0-8218-2794-9
Product Code:  CONM/318
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7908-5
Product Code:  CONM/318.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-2794-9
eBook: ISBN:  978-0-8218-7908-5
Product Code:  CONM/318.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Diagrammatic Morphisms and Applications
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Diagrammatic Morphisms and Applications
Edited by: David E. Radford University of Illinois at Chicago, Chicago, IL
Fernando J. O. Souza University of Iowa, Iowa City, IA
David N. Yetter Kansas State University, Manhattan, KS
Softcover ISBN:  978-0-8218-2794-9
Product Code:  CONM/318
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7908-5
Product Code:  CONM/318.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-2794-9
eBook ISBN:  978-0-8218-7908-5
Product Code:  CONM/318.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 3182003; 213 pp
    MSC: Primary 00; 16; 18; 57; 83; Secondary 15

    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.

    Readership

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

  • Table of Contents
     
     
    • Articles
    • D. N. Yetter — Diagrammatic morphisms [ MR 1973506 ]
    • John C. Baez — Spin foam perturbation theory [ MR 1973507 ]
    • John W. Barrett — Unlinked embedded graphs [ MR 1973508 ]
    • Yuri Bespalov and Bernhard Drabant — Report on cross product bialgebras in braided categories [ MR 1973509 ]
    • J. Scott Carter, Seiichi Kamada and Masahico Saito — Diagrammatic computations for quandles and cocycle knot invariants [ MR 1973510 ]
    • Brian Day and Ross Street — Lax monoids, pseudo-operads, and convolution [ MR 1973511 ]
    • Micho Đurđevich — Diagrammatic formulation of multi-braided quantum groups [ MR 1973512 ]
    • Charles Frohman and Joanna Kania-Bartoszynska — A matrix model for quantum $\rm SL_2$ [ MR 1973513 ]
    • Louis H. Kauffman and David Radford — Bi-oriented quantum algebras, and a generalized Alexander polynomial for virtual links [ MR 1973514 ]
    • Thomas Kerler — Towards an algebraic characterization of 3-dimensional cobordisms [ MR 1973515 ]
    • Zbigniew Oziewicz — Operad of graphs, convolution and quasi Hopf algebra [ MR 1973516 ]
    • Józef H. Przytycki and Adam S. Sikora — ${\rm SU}_n$-quantum invariants for periodic links [ MR 1973517 ]
    • Ross Street — Weak omega-categories [ MR 1973518 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 3182003; 213 pp
MSC: Primary 00; 16; 18; 57; 83; Secondary 15

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.

Readership

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

  • Articles
  • D. N. Yetter — Diagrammatic morphisms [ MR 1973506 ]
  • John C. Baez — Spin foam perturbation theory [ MR 1973507 ]
  • John W. Barrett — Unlinked embedded graphs [ MR 1973508 ]
  • Yuri Bespalov and Bernhard Drabant — Report on cross product bialgebras in braided categories [ MR 1973509 ]
  • J. Scott Carter, Seiichi Kamada and Masahico Saito — Diagrammatic computations for quandles and cocycle knot invariants [ MR 1973510 ]
  • Brian Day and Ross Street — Lax monoids, pseudo-operads, and convolution [ MR 1973511 ]
  • Micho Đurđevich — Diagrammatic formulation of multi-braided quantum groups [ MR 1973512 ]
  • Charles Frohman and Joanna Kania-Bartoszynska — A matrix model for quantum $\rm SL_2$ [ MR 1973513 ]
  • Louis H. Kauffman and David Radford — Bi-oriented quantum algebras, and a generalized Alexander polynomial for virtual links [ MR 1973514 ]
  • Thomas Kerler — Towards an algebraic characterization of 3-dimensional cobordisms [ MR 1973515 ]
  • Zbigniew Oziewicz — Operad of graphs, convolution and quasi Hopf algebra [ MR 1973516 ]
  • Józef H. Przytycki and Adam S. Sikora — ${\rm SU}_n$-quantum invariants for periodic links [ MR 1973517 ]
  • Ross Street — Weak omega-categories [ MR 1973518 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.