Search for non-trivial elements of the kernel of the Burau representation of the four-strand braid group.
Computes free splittings of graph braid groups.
Computes presentations of graph braid groups.
Who's there? Julia toolkit spanning knot diagrams and invariants, quandles and braid closures, plus elastic-rod mechanics and protistological topology; bridges mathematical theory and physical practice.
The primary objective of this study is to explore the application of Grover’s Algorithm to structured problems inspired by braid groups. Given a target tangle (a known permutation of 3 strands), the quantum circuit finds the exact braid word (sequence of 3 crossing moves) that produced it — without being told what the word is.
Library for the calculation and understanding of the Alexander Data, a proposed invariant for textiles. (MSc Data Science & AI Dissertation)
Code & data for "A dichotomous Leggett–Garg witness for braid-representation density in SU(2)_k."
My master's thesis in low-dimensional topology
A deterministic software architecture built on geometric first principles, artin braid groups, E8 jordan lie algebra, conway-sloane quantization, topology and much much more, it is an ambitious project and I have built several prototypes each building upon the last, more and more research provides me with more pathways.
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