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K-theory as a tool for classification of crystalline topological insulators

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Luuk Stehouwer
Tue, 2019-11-26 14:00 - 15:00
MPIM Lecture Hall

Topological K-theory provides a great tool to study topological phases in systems of free fermions. We start by reviewing an argument by Freed & Moore on the appearance of the K-theory of tori in the context of quantum mechanics. After the mathematical essence has been extracted, the focus will be on computational methods using the Atiyah-Hirzebruch spectral sequences. We will focus on the example of a 2-dimensional system with a rotational symmetry of order two.

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