Jun 27, 2024 · We introduce “braided” versions of self-similar groups and Röver–Nekrashevych groups, and study their finiteness properties.

Feb 9, 2024 · (These notions were introduced to solve the conjugacy problem in braid groups, see [ERM, Section 4].) Any w is conjugate to a summit w0 simply by repeatedly ...

Nov 5, 2023 · Therefore we see that the label of one of our flux tubes is conjugated by the label of the other one under our braiding. B. Higher gauge theory. We have so far ...

Mar 22, 2024 · There are cryptographic protocols involving braid groups (see [22, 15]) which are now broken. They were successfully attacked by using the faithful Lawrence ...

Jun 3, 2024 · We also discuss how braid groups arise as mapping class groups of the n-times punctured disc. We discuss the solution to the word problem on Braid groups.

Feb 2, 2024 · Braiding transformations take place inside the light-like orbits of partonic 2-surfaces defining boundaries of space-time regions with Minkowskian and Euclidian ...

May 4, 2024 · The normal form was soon used to improve Garside's solution of the Conjugacy Problem [116] and, extended from the monoid to the group, to serve as a ...

Mar 26, 2024 · Such interactions create defects in configuration space and the braid group describes how topologically-distinct exchange paths can wind around these defects [3 ...

Mar 27, 2024 · We will look at a new analogous result which holds for hyperoctahedral group characters induced from four one-dimensional characters of its Young subgroups.

Jul 10, 2024 · All Clifford gates can be implemented on logical qubits by braiding twist defects. We introduce lattice-surgery- based techniques for computing with logical.