Braid Theory is a venture advisory and accelerator based at the Port of Los Angeles. We weave together entrepreneurs, industry influencers, and corporate partners to accelerate adoption of …

In mathematics, the braid group on n strands (denoted ), also known as the Artin braid group, [1] is the group whose elements are equivalence classes of n-braids (e.g. under ambient isotopy), …

Mar 26, 2023 · The branch of topology and algebra concerned with braids, the groups formed by their equivalence classes and various generalizations of these groups [1].

2. Geometric Braids The theory of braids begins with a very intuitive geometrical descrip-tion of the main objects of study. De nition 2.1 A geometric braid on nstrings is a subset ˆR2 [0;1] …

There are, in general, many more connections between knot theory and braid groups. Furthermore, the study of these braid groups is also both important to mathematics and …

Braid theory is a beautiful subject which combines the visual appeal and in-sights of topology with the precision and power of algebra. It is relevant not only to algebraists and topologists, but …

1.1 The (pure) braid group via braid diagrams Our first definition of the braid group is as a group of geometric braid diagrams. Informally, a braid on nstrands is (an equivalence class of) …

Named after Emil Artin, one of the leading mathematicians of the twentieth century and who developed the theory of braids as a branch of an area in mathematics known as algebraic …

In this well-written presentation, motivated by numerous examples and problems, the authors introduce the basic theory of braid groups, highlighting several definitions that show their …

This paper gives an account of the unitary representations of the braid group that arise via the Hodge theory of cyclic branched cover-ings of P1, highlighting their connections with ergodic …