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Spherical category information


In category theory, a branch of mathematics, a spherical category is a pivotal category (a monoidal category with traces) in which left and right traces coincide.[1] Spherical fusion categories give rise to a family of three-dimensional topological state sum models (a particular formulation of a topological quantum field theory), the Turaev-Viro model, or rather Turaev-Viro-Barrett-Westbury model.[2]

  1. ^ John W. Barrett; Bruce W. Westbury (1999). "Spherical Categories". Advances in Mathematics. 143 (2): 357–375. arXiv:hep-th/9310164. doi:10.1006/aima.1998.1800.
  2. ^ "Turaev-Viro model". nLab. Retrieved 7 August 2017.

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Spherical category

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semi-Thue system. Mathematics portal Skeleton (category theory) Spherical category Monoidal category action Baez, John; Stay, Mike (2011). "Physics,...

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Law of sines

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central line. According to Ubiratàn D'Ambrosio and Helaine Selin, the spherical law of sines was discovered in the 10th century. It is variously attributed...

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Flat Earth

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has undergone a recent resurgence as a conspiracy theory. The idea of a spherical Earth appeared in ancient Greek philosophy with Pythagoras (6th century...

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{\Gamma }{4\pi R}}\left(\ln {\frac {8R}{a}}-{\frac {1}{4}}\right)} Hill's spherical vortex is an example of steady vortex flow and may be used to model vortex...

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Steradian

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solid angle in steradians, projected onto a sphere, gives the area of a spherical cap on the surface. The name is derived from the Greek στερεός stereos...

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Divergence

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\cdot \mathbf {A} } in cylindrical and spherical coordinates are given in the article del in cylindrical and spherical coordinates. Using Einstein notation...

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Timeline of category theory and related mathematics

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This is a timeline of category theory and related mathematics. Its scope ("related mathematics") is taken as: Categories of abstract algebraic structures...

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length, and have tabular vesicles. Spherical bombs also form from high to moderately fluid magma. In the case of spherical bombs, surface tension plays a...

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Rotational spectroscopy

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rotational spectroscopy, molecules are classified according to symmetry into spherical tops, linear molecules, and symmetric tops; analytical expressions can...

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Coxeter planes. The truncated icosahedron can also be represented as a spherical tiling, and projected onto the plane via a stereographic projection. This...

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A geographic coordinate system (GCS) is a spherical or geodetic coordinate system for measuring and communicating positions directly on Earth as latitude...

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Brieskorn manifold Exotic sphere Homology sphere Homotopy sphere Lens space Spherical 3-manifold Einstein manifold Ricci-flat manifold G2 manifold Kähler manifold...

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360-degree circle or a spherical view. The results is known as VR photograph (or VR photo), 360-degree photo, photo sphere, or spherical photo, as well as...

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jigsaw globe, globe puzzle, puzzle ball, puzzle sphere or spherical puzzle) is a spherical assembly of puzzle pieces that, when put together, form a complete...

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A spherical design, part of combinatorial design theory in mathematics, is a finite set of N points on the d-dimensional unit d-sphere Sd such that the...

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Solid angle

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radiometric quantities radiant intensity and radiance Calculating spherical excess E of a spherical triangle The calculation of potentials by using the boundary...

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as a linear-edged Schlegel diagram, or stereographic projection as a spherical polyhedron. These projections are also used in showing the four-dimensional...

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properties that make them distinct from other classes of galaxy. They are spherical or ovoid masses of stars, starved of star-making gases. Furthermore, there...

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small circle of fixed radius (e.g., 15 degrees angular radius). Sometimes spherical triangles are used.[citation needed] In the first half of the 20th century...

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