Spherical categories
WebA spherical category is defined to be a pivotal category which satisfies an extra condition, which states that two trace maps are equal. The universal strict pivotal category has an … WebNov 2, 2010 · Orthogonally spherical objects and spherical fibrations. Rina Anno, Timothy Logvinenko. We introduce a relative version of the spherical objects of Seidel and Thomas. Define an object E in the derived category D (Z x X) to be spherical over Z if the corresponding functor from D (Z) to D (X) gives rise to autoequivalences of D (Z) and D …
Spherical categories
Did you know?
WebJun 7, 2024 · spherical category. ribbon category, a.k.a. tortile category. compact closed category. With duals for morphisms. monoidal dagger-category? symmetric monoidal … WebIn any spherical category, the (quantum) dimension of an object Xis the endomorphism of the monoidal identity object given by dim(X) = tr(1 X), the trace of its identity map. In the case of a spherical fusion category over K, it may be regarded as an element of the eld K. The dimension of a spherical fusion category Cis C:= X X2S C dim(X)2 where S
WebFUKAYA CATEGORIES OF SURFACES, SPHERICAL OBJECTS, AND MAPPING CLASS GROUPS DENIS AUROUX AND IVAN SMITH Abstract. We prove that every spherical object … WebJan 16, 2024 · Based on the shape of the bacterial cell, bacteria can be mainly classified into four major categories, namely: Spherical bacteria or Coccus Rod-shaped bacteria or Bacillus Spiral bacteria Filamentous bacteria. Apart from these four main categories, there are other odd-shaped bacteria such as the following shapes, namely:
WebJun 1, 2007 · In the present article, we develop the notions of trialgebra and cotrialgebra, generalizations of Hopf algebras with two multiplications and one comultiplication or vice versa, and the notion of... WebFeb 28, 2024 · The variable ‘vdata’ that i loaded from my m file has two columns,the first is x and the second is y.I'm supposed to Use the nonlinear least-square tool ‘lsqcurvefit’ to estimate the two parameters ‘a’ and ‘c’, and fit a function of the form: y = c[1.5(x/a) - 0.5(x/a)^3] if x < a and y = c if x >= a
WebOct 25, 1993 · Spherical Categories. This paper is a study of monoidal categories with duals where the tensor product need not be commutative. The motivating examples are categories of representations of Hopf algebras and the motivating application is the … SPHERICAL CATEGORIES John W. Barrett & Bruce W. Westbury 10 August 1993; … Hep-Th 9310164V2 - [hep-th/9310164] Spherical Categories - arXiv.org
WebApr 25, 2012 · A spherical category is a piv otal one where the left and righ t traces coincide. Thus, Rep H is a spherical category, whenever H is a spherical Hopf algebra. Remark 2.3. town of hempstead land recordsWebFeb 3, 2024 · Apparently, an example of a pivotal non-spherical category can be found in the world of Hopf algebras/representation theory: Let $(H, \omega)$ be a pivotal non-spherical Hopf algebra with pivot $\omega$ (see From Hopf algebras to tensor categories by Andruskiewitsch et al. for an example). town of hempstead marriage applicationWebJun 19, 2016 · Spherical fusion categories: A certain functor 1. Context Let C be a spherical fusion category over an algebraically closed field k of characteristic zero. Denote by V e c the category of finite-dimensional vector spaces. Currently, I am ... category-theory monoidal-categories natural-transformations topological-quantum-field-theory town of hempstead marriageWebFeb 3, 2024 · The 2-category of monoidal categories 7. Properties 8. Coherence 9. Closure 10. Relation to multicategories 11. Internal logic 12. Scalars 13. Where the definition comes from 14. Relation to lax functors, orientals and descent 15. Remark: pseudo versus lax, orientals versus unorientals 16. Variants 17. Related concepts 18. References Idea 0.1 town of hempstead low income senior housingWebJan 1, 2024 · As noted in Table 2, data from these three sources show slight variability when looking at the soft spherical category (prescribing range 50% to 56%) and more consistency with torics and cosmetics. TABLE 2 2024 CONTACT LENS SPECTRUM , ABB OPTICAL GROUP, AND GFK RETAIL AND TECHNOLOGY DATA FOR U.S. SOFT LENSES IN TERMS … town of hempstead log inWebJan 23, 2024 · Spherical fusion categories: A certain functor. Ask Question. Asked 2 years, 2 months ago. Modified 1 year, 5 months ago. Viewed 128 times. 3. 1. Context. Let be a … town of hempstead marriage certificateWebAug 22, 2024 · We compute the fusion rule of a one-parameter family of spherical categories constructed by one author from the classification of singly generated … town of hempstead marriage license