Braided monoidal bicategory
WebWe follow and let Bord 4, 3, 2 ${\rm Bord}_{4,3,2}$ denote the symmetric monoidal bicategory of once-extended oriented bordism. Roughly speaking, its objects are closed oriented 2-manifolds, its 1-morphisms are compact oriented three-dimensional bordism and its 2-morphisms are diffeomorphism classes of compact oriented four-dimensional … WebJul 19, 2024 · 1. Introduction and summary. Algebras over the associative and the framed little 2-disks operad with values in the symmetric monoidal bicategory of (linear) categories are well-known to be equivalent to (linear) monoidal and balanced braided monoidal categories, respectively.
Braided monoidal bicategory
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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. 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 …
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 … 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... …
Monoidal bicategories provide a fruitful context for examples of the microcosm principle; various kinds of monoidal category can naturally be generalized to corresponding kinds of pseudomonoidsinternal to corresponding kinds of monoidal bicategories. In some cases this is very immediate: 1. Inside a … See more A monoidal bicategory is a bicategory with a monoidal structure, which is up-to-equivalence in a suitable bicategorical sense. A concise … See more By delooping this once, this gives an example of a tricategorywith a single object. The tricategory statement follows from theorem 21 of … See more 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, …
WebDec 28, 2024 · closed monoidal structure on presheaves. Day convolution. Theorems. coherence theorem for monoidal categories. monoidal Dold-Kan correspondence. In higher category theory. monoidal 2-category. braided monoidal 2-category; monoidal bicategory. cartesian bicategory; k-tuply monoidal n-category. little cubes operad; …
WebOverviewModels of ComputationComputabilityComplexityDiagonalSupplementaryLessons Abstract Abstract: This talk is a preview of a forthcoming book in the strwythur url seoWebOct 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. strx meaningstrx6769 datasheetWebApr 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 … stry-lenkoff co louisville kyWebMar 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 … stry cleanerWebA braided monoidal category is a monoidal category equipped with a braiding—that is, a commutativity constraint that satisfies axioms including the hexagon identities defined … stry holdingshttp://arxiv-export3.library.cornell.edu/pdf/1705.09354v1 stry back