We study slicing functions, which are called direct connections in the smooth category, and parallel displacements along sequences in a topological connection theory. We define holonomy groups for ...

A connection on a principal G-bundle may be identified with a smooth group morphism ℋ : Gℒ∞ (M) → G, called a holonomy, where Gℒ∞ (M) is a group of equivalence classes of loops on the base M. The ...

Deterministic entanglement through holonomy: A system of four coupled optical waveguides (A, C, E, W), with three inter-waveguide coupling coefficients (k_A,k_E,k_W) vary in such a way to define a ...

The goal of this workshop is to bring together young European-based researchers under the broad umbrella of geometric structures. We aim to provide a place for interaction and sharing of research ...

Georgia Tech researchers recently proposed a method for generating quantum entanglement between photons. This method constitutes a breakthrough that has potentially transformative consequences for the ...