It is well known that the existence of a braiding in a monoidal category V allows many structures to be built upon that foundation. These include a monoidal 2-category V-Cat of enriched categories and functors over V , a monoidal bicategory V-Mod of enriched categories and modules, a category of operads in V and a 2-fold monoidal category structure on V . We will begin by focusing our expositio...

Adult literacy is a pressing policy issue in Canada. Reports reveal immigrant communities as accounting for relatively large share of the country’s population experiencing low reading, writing, numeracy, and information processing skills. This paper explores how Black women who are adult learners negotiate reconfigure their motherwork while living abroad Toronto with families. article presents ...

We prove an S3-symmetry of the Jacobi identity for intertwining operator algebras. Since this Jacobi identity involves the braiding and fusing isomorphisms satisfying the genus-zero Moore–Seiberg equations, our proof uses not only the basic properties of intertwining operators, but also the properties of braiding and fusing isomorphisms and the genus-zero Moore–Seiberg equations. Our proof depe...

The interaction of various algebraic structures, describing fusion, braiding and group symmetries in quantum projective field theory, is an object of an investigation in the paper. Structures of projective Zamolodchikov algebras, their representations, spherical correlation functions, correlation characters and envelopping QPFT–operator algebras, projective Ẅ–algebras, shift algebras, infinite ...

A technique is developed to reduce the investigation of Nichols algebras of integrable Uq(g)-modules to the investigation of Nichols algebras of braided vector spaces with diagonal braiding. The results are applied to obtain information on the Gelfan’dKirillov dimension of these Nichols algebras and their defining relations if the braiding is of a special type and q is not a root of unity. For ...

we give the concept of ‘braiding’ for 2-groupoids, and we show that this structure is equivalent tobraided regular, crossed modules.

In certain two-dimensional time-dependent flows, the braiding of periodic orbits provides a way to analyze chaos in the system through application of the Thurston-Nielsen classification theorem (TNCT). We expand upon earlier work that introduced the application of the TNCT to braiding of almost-cyclic sets, which are individual components of almost-invariant sets [Stremler et al., "Topological ...

We propose an experiment to directly probe the non-abelian statistics of Majorana fermions by braiding them in an s-wave superfluid of ultracold atoms. We show that different orders of braiding operations give orthogonal output states that can be distinguished through Raman spectroscopy. Realization of Majorana states in an s-wave superfluid requires strong spin-orbital coupling and a controlla...

Repair success for injuries to the flexor tendon in the hand is often limited by the in vivo behaviour of the suture used for repair. Common problems associated with the choice of suture material include increased risk of infection, foreign body reactions, and inappropriate mechanical responses, particularly decreases in mechanical properties over time. Improved suture materials are therefore n...

This paper is an introduction to relationships between topology, quantum computing and the properties of fermions. In particular we study the remarkable unitary braid group representations associated with Majorana fermions.