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- W2070300009 abstract "Just as knots and links can be algebraically described as certain morphisms in the category of tangles in 3 dimensions, compact surfaces smoothly embedded in R 4 can be described as certain 2-morphisms in the 2-category of ‘2-tangles in 4 dimensions’. Using the work of Carter, Rieger and Saito, we prove that this 2-category is the ‘free semistrict braided monoidal 2-category with duals on one unframed self-dual object’. By this universal property, any unframed self-dual object in a braided monoidal 2-category with duals determines an invariant of 2-tangles in 4 dimensions." @default.
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- W2070300009 date "2003-12-01" @default.
- W2070300009 modified "2023-09-26" @default.
- W2070300009 title "Higher-dimensional algebra IV: 2-tangles" @default.
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- W2070300009 doi "https://doi.org/10.1016/s0001-8708(03)00018-5" @default.
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