Braided monoidal bicategory
WebFor instance, every monoidal category is equivalent to a strict monoidal category, where the associativity and unit isomorphisms are identities, but not every braided monoidal category is equivalent to a strictly braided one where the braiding is an identity. WebFeb 3, 2024 · A monoidal category or monoidal monoidoid is a category equipped with some notion of ‘tensor product’ of its objects. A good example is the category Vect of …
Braided monoidal bicategory
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WebDec 18, 2024 · The 2-category of braided monoidal categories. There is a strict 2-category BrMonCat with: braided monoidal categories as objects, braided monoidal functors as … Webmonoidal bicategoryBis a bicategory with a tensorproduct. It consists of the following: bicategoryB. tensor product functor: B B ! B. pseudonatural equivalence called theassociator for thetensor product: aA;B;C: (AB)C ! (BC) An object I 2 B, theunit for the tensor product.
WebSep 10, 2014 · braided monoidal bicategory sylleptic monoidal bicategory symmetric monoidal bicategory The syllepsis is the big surprise in this column of the periodic table, just as the braiding is the big surprise in the previous column. I don’t think ‘symmetrizoric monoidal bicategories’ sounds as good as ‘sylleptic monoidal bicategories’. WebApr 10, 2024 · These definitions [of braided monoidal bicategories in the earlier literature] both take the unit to be strict ― in terms of our definition below, they take the 1 -cells s A, I and s I, A and the 2 -cells U A I and U I A to be identities [these …
WebThe braided monoidal structure of the ambient bicategory is given by the definition of a semistrict 4-category built into Globular. The syllepsis and its symmetry coherence … WebBraided Line: The Advantages –. Incredibly strong with a thinner diameter vs mono line. Better strength lets you pull fish more quickly from structure and weeds. Smaller …
Webbraided monoidal bicategory. What we will do is construct this braided monoidal bicategory, and describe why this is the right setting to categorify the theory of Hall …
WebClassification of homotopy -types has focused on developing algebraic categories which are equivalent to categories of -types. We expand this theory by providing algebraic models of homotopy-theoretic constructions for… shotgun messiah discographyWebApr 13, 2024 · Okay, so there are: * monoidal actegories * braided monoidal actegories * symmetric monoidal actegories * cartesian and cocartesian actegories * closed actegories And each one of them tells us something interesting about Para/Copara construction, and … shotgun mc azWebOct 21, 2024 · We present a method of constructing monoidal, braided monoidal, and symmetric monoidal bicategories from corresponding types of monoidal double categories that satisfy a lifting condition. shotgun measurementshttp://arxiv-export3.library.cornell.edu/pdf/1705.09354v1 shotgun meansWebIt is easy to find algebras T ∈ C in a finite tensor category C that naturally come with a lift to a braided commutative algebra T ∈ Z (C) in the Drinfeld center of C.In fact, any finite tensor category has at least two such algebras, namely the monoidal unit I and the canonical end ∫ X ∈ C X ⊗ X ∨.Using the theory of braided operads, we prove that for any such algebra … shotgun medicalsWebJan 13, 2024 · A braided monoidal category is a monoidal category with a braiding. In view of applications in knot theory, braided monoidal categories constitute a very important class of monoidal categories, and the quantum double construction for Hopf algebras of Chap. 5 implicitly gives rise to braided monoidal categories, see, for example, [19, 21, 41]. shotgun medical certificateWebA braided monoidal category is a monoidal category equipped with a braiding—that is, a commutativity constraint that satisfies axioms including the hexagon identities defined … shotgun meaning sexually