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  1. Letters in Mathematical Physics
  2. Letters in Mathematical Physics : Volume 43
  3. Letters in Mathematical Physics : Volume 43, Issue 2, January 1998
  4. 2-Tangles
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Letters in Mathematical Physics : Volume 107
Letters in Mathematical Physics : Volume 106
Letters in Mathematical Physics : Volume 105
Letters in Mathematical Physics : Volume 104
Letters in Mathematical Physics : Volume 103
Letters in Mathematical Physics : Volume 102
Letters in Mathematical Physics : Volume 101
Letters in Mathematical Physics : Volume 100
Letters in Mathematical Physics : Volume 99
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Letters in Mathematical Physics : Volume 96
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Letters in Mathematical Physics : Volume 94
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Letters in Mathematical Physics : Volume 92
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Letters in Mathematical Physics : Volume 88
Letters in Mathematical Physics : Volume 87
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Letters in Mathematical Physics : Volume 84
Letters in Mathematical Physics : Volume 83
Letters in Mathematical Physics : Volume 82
Letters in Mathematical Physics : Volume 81
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Letters in Mathematical Physics : Volume 71
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Letters in Mathematical Physics : Volume 64
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Letters in Mathematical Physics : Volume 62
Letters in Mathematical Physics : Volume 61
Letters in Mathematical Physics : Volume 60
Letters in Mathematical Physics : Volume 59
Letters in Mathematical Physics : Volume 58
Letters in Mathematical Physics : Volume 57
Letters in Mathematical Physics : Volume 56
Letters in Mathematical Physics : Volume 55
Letters in Mathematical Physics : Volume 54
Letters in Mathematical Physics : Volume 53
Letters in Mathematical Physics : Volume 52
Letters in Mathematical Physics : Volume 51
Letters in Mathematical Physics : Volume 50
Letters in Mathematical Physics : Volume 49
Letters in Mathematical Physics : Volume 48
Letters in Mathematical Physics : Volume 47
Letters in Mathematical Physics : Volume 46
Letters in Mathematical Physics : Volume 45
Letters in Mathematical Physics : Volume 44
Letters in Mathematical Physics : Volume 43
Letters in Mathematical Physics : Volume 43, Issue 4, March 1998
Letters in Mathematical Physics : Volume 43, Issue 3, February 1998
Letters in Mathematical Physics : Volume 43, Issue 2, January 1998
Deformation of Towers of Algebras and Quantized Intersection Cardinality Functions
Quantization of Teichmüller Spaces and the Quantum Dilogarithm
Isospectal Vector-Valued Sturm–Liouville Problems
Dual Isomonodromic Problems and Whitham Equations
Non-Abelian Reduction in Deformation Quantization
Some Infinite-Dimensional Algebras Arising in Spin Systems and in Particle Physics and their Grand Algebra
A Coset-Type Construction for the Deformed Virasoro Algebra
2-Tangles
Letters in Mathematical Physics : Volume 43, Issue 1, January 1998
Letters in Mathematical Physics : Volume 42
Letters in Mathematical Physics : Volume 41
Letters in Mathematical Physics : Volume 40
Letters in Mathematical Physics : Volume 39

2-Tangles

Content Provider Springer Nature Link
Author Baez, John C. Langford, Laurel
Copyright Year 1998
Abstract Just as links may be algebraically described as certain morphisms in the category of tangles, compact surfaces smoothly embedded in R$^{4}$ may be described as certain 2-morphisms in the 2-category of ‘2-tangles in four dimensions’. In this announcement we give a purely algebraic characterization of the 2-category of unframed unoriented 2-tangles in four dimensions as the ‘free semistrict braided monoidal 2-category with duals on one unframed self-dual object’. A forthcoming paper will contain a proof of this result using the movie moves of Carter, Rieger and Saito. We comment on how one might use this result to construct invariants of 2-tangles.
Starting Page 187
Ending Page 197
Page Count 11
File Format PDF
ISSN 03779017
Journal Letters in Mathematical Physics
Volume Number 43
Issue Number 2
e-ISSN 15730530
Language English
Publisher Kluwer Academic Publishers
Publisher Date 1998-01-01
Publisher Place Dordrecht
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Group Theory and Generalizations Geometry Mathematical and Computational Physics Statistical Physics
Content Type Text
Resource Type Article
Subject Statistical and Nonlinear Physics Mathematical Physics
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