RIKEN 2026 - Majorana tutorial

Organization: Thore Posske, Ching-Kai Chiu
Extended Script: Topological classification and Kitaev chain
Schedule:
Lecture: Wed, 1:00 p.m. - 2:00 p.m., RIKEN

Content

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Additional material

Video lecture by John Milnor (Fields medalist, "Milnor spheres") about differential topology
Video lectures by Norman Wildberger about algebraic topology explained very intuitively
Video that the torus can be folded to a Moebius strip and
corresponding Mathematica notebook
Tenfold way explained by John Baez (incl. graphics of table)

Recommended reading/references

Topology In Condensed Matter: An Introduction - Miguel A N Araujo and Pedro Sacramento
Quantum Computation and Quantum Information - Michael Nielsen and Isaac Chuang
Altland's and Simons' book on Condensed Matter theory
Course on topology in condensed matter physics by Akhmerov et al.

Topology and physics - a historical essay, C. Nash
Topological Quantum Computation-From Basic Concepts to First Experiments, Stern, Ady and Lindner, Netanel H.
Seminal paper of Leinaas and Myrheim '77 describing anyons
Philosophical background on the "principle of indiscernibles"
Kitaev's periodic table of gapped, non-interacting, topological phases
Ryu, Schnyder, Furusaki, Ludwig, classification of gapped, non-interacting, topological phases
Katos seminal paper about adiabatic time evolution