Spherical categories

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August undefined, 2024

WebAnnals of Mathematics Annals of Mathematics, Journal Webthe category of vector spaces, based on spherical categories. The category Algis proposed by Habiro to be isomorphic to the cobor-dism category of once-punctured surfaces. If the proposal is proved valid, the result of this paper would imply a construction of a TQFT functor based on a spherical category. 1. Introduction

Spherical objects and K-theory - MathOverflow

WebFind many great new & used options and get the best deals for Lucite Globe: Spherical Concepts, Inc. Frazer, PA USA MCMXCI (1991) at the best online prices at eBay! Free shipping for many products! 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 hawaiian shaved ice azuki beans

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WebMay 10, 1999 · Four dimensional topological quantum field theory, hopf categories, and the canonical bases J. Math. Phys. , 35 ( 1994 ) , pp. 5136 - 5154 View in Scopus Google … Webthe category of vector spaces, based on spherical categories. The category Algis proposed by Habiro to be isomorphic to the cobor-dism category of once-punctured surfaces. If the … WebAug 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 … bosch service centre witbank

Classification of pivotal tensor categories with fusion rules related ...

[hep-th/9310164] Spherical Categories - arXiv.org

WebFUKAYA CATEGORIES OF SURFACES, SPHERICAL OBJECTS, AND MAPPING CLASS GROUPS DENIS AUROUX AND IVAN SMITH Abstract. We prove that every spherical object … 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 … bosch service centre uk power toolsWebJan 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 … hawaiian shaved ice alani flavor

"WebFeb 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 " - Spherical categories

Spherical categories

WebIn 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 … WebIn category theory, a branch of mathematics, a spherical category is a pivotal category in which left and right traces coincide. Wikiwand is the world's leading Wikipedia reader for …

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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. WebNov 5, 2024 · We classify spherical fusion categories of Frobenius-Schur exponent 2 up to monoidal equivalence. We also classify modular categories of Frobenius-Schur exponent …

WebFeb 3, 2024 · Given a morphism φ ∈ H o m C ( X, Y) the (strict) pivotal structure lets one "pivot" its representing string diagram (turn its arrows around): Here we make use of the identification X ∗ ∗ = X. (The expression X ∗ is not ambigous because a right rigid pivotal category is left rigid, and left and right dual objects of a given object ... WebApr 3, 2024 · There is a difference between strictly spherical objects (i.e., complexes of projectives which are concentrated in a single degree) and spherical objects in your sense …

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 WebMay 10, 1999 · In the third section we define spherical Hopf algebras so that the category of representations is spherical. Examples of spherical Hopf algebras are involutory Hopf …

WebJun 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

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: bosch service departmentWebcategory Cone may construct thede-equivariantization C G of Fun(G)-modules, where Fun(G) 2Rep(G) is the regular algebra and G is a nite group. IC G is G-graded. IdimC G = dim(C)=jGj IIf Cis braided and DˆC0then C G is braided. Lemma Let Cbe a pre-modular category, and Rep(G) ˘=TˆC0be the maximal, Tannakian, central subcategory.Then C G is either bosch service claremontWebApr 3, 2024 · Lets denote by C n the category of n -spherical objects in C. If I an not wrong C n is a waldhausen category where weak equivalences are quasi-iso and cofibrations are ordinary cofibrations such that the cofiber is also an object in C n. Now the Wladhausen theorem says that h o c o l i m n K ( C n) ∼ K ( C). bosch service credit card loginWebOct 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 hawaiian shaved ice blount county tnWebApr 1, 2024 · A based presentation of a (small) spherical based tensor category ( C, X) is a set of morphisms F between tensor powers of X, and a set of relations R satisfied in C such that C ≅ C ( F) / R ‾ where C ( F) is the free (based, strictly pivotal and strict monoidal) spherical C -linear monoidal category (possibly not abelian and with non-simple … bosch service dublinWebIn 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. Spherical fusion … hawaiian shaved ice and snow cone machine hawaiian shaved ice bay area