Braided monoidal bicategory

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August undefined, 2024

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 … WebProperties of morphisms represented by so-called 'string diagrams' of monoidal categories (and their braided and symmetric derivatives), mainly their resistance in ...

Cyclic Framed Little Disks Algebras, Grothendieck–Verdier Duality …

WebJul 6, 2009 · Specifically, it is proven that these double delooping spaces, for categories enriched with a braided monoidal structure, can be explicitly realized by means of certain genuine simplicial sets... WebOct 20, 2024 · Alexei Davydov defined the full centre of a monoid in a monoidal category. We define a higher dimensional version: the full monoidal centre of a monoidale (= … how the worlds making people go blind song

Braid vs Mono - Which is the Better Line for Fishing?

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 … Webresults [17, 28]. The result for braided pseudomonoids in a semistrict braided monoidal bicategory should also extend to fully weak braided monoidal bicategories, provided Bar and Vicary’s recent de nition of semistrict 4-categories is su ciently general [5]. Our results do not cover pseudomonoids in sylleptic monoidal bicategories, for which ... WebDec 16, 2024 · Braided fishing lines are woven from multiple synthetic fibers such as Dacron, Micro-Dyneema or Spectron. These types of lines are dense, thin and taut, … metal lathe thread cutting tooling

Homotopy invariants of braided commutative algebras and the …

WebMay 12, 2024 · Abstract: In this work, for a finite group and a 4-cocycle , we compute explicitly the center of the monoidal bicategory of -twisted -graded 1-categories of finite … WebJun 11, 2011 · The category of K -graded vector spaces is a braided monoidal category in a very nice way, which Christopher describes in the paper above. But in fact, like so much about Hall algebras, this idea really wants to be explained at the level of groupoids rather than vector spaces! how the world really works mobiWebmonoidal 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. how the world started

"WebApr 10, 2024 · [...] (usual data in a braided monoidal bicategory, as defined in [Johnson–Yau, Definition 12.1.6]); Left Triangulators. An invertible modification; with … " - Braided monoidal bicategory

Braided monoidal bicategory

Coherence $2$-cells in braided monoidal bicategories

http://www.sci.brooklyn.cuny.edu/noson/TCStalk.pdf WebOct 4, 2012 · On the purely categorical side, there is still the open question of coherence for sylleptic monoidal bicategories. In every other case (monoidal, braided, or …

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WebAug 1, 1996 · PDF We begin with a brief sketch of what is known and conjectured concerning braided monoidal 2-categories and their relevance to 4d TQFTs and... … WebMar 26, 2024 · Under this identification the monoidal structure ⊗ H is easy to describe: it is "matrix multiplication", but where you replace the usual addition and multiplication …

WebMonoidal bicategories are bicategories with a monoidal product, the analogue of monoidal categories in one higher dimension. Just as a monoidal category is a bicategory with one objet, a monoidal bicategory is a tricategory with one object. WebOverviewModels of ComputationComputabilityComplexityDiagonalSupplementaryLessons Abstract Abstract: This talk is a preview of a forthcoming book in the

WebOur sketch of proof uses braided categories. Other problems are also proposed. ... 2.4 in order to obtain a new Yang-Baxter operator defined over V ″ = V ⊕ V ′, which will generate the braiding of a monoidal category. ... Hoffnung, A.E. The Hecke bicategory. Axioms 2012, 1, 291–323. [Google Scholar] 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 …

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 monoidal categories have applications in quantum information, quantum field theory, and string theory. Formal definition [ edit ] A monoidal category is a category C … metal lathe tips and tricks videosWebA braided monoidal category is a monoidal category equipped with a braiding—that is, a commutativity constraint that satisfies axioms including the hexagon identities defined … metal lathe threading bitsWebApr 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 … metal lathe tool holders on ebayWebApr 13, 2024 · The hom-category on that 0-cell is the original monoidal category and compositition of 1-cells is the monoidal operation. Being braided means that this … metal lathe tips and tricks metal lathe tool holder typesWebJan 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]. how the world was created panayan storyWebApr 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 … how the world was created panayan summary