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arxiv: 1510.08744 · v3 · pith:CPEQRF53new · submitted 2015-10-29 · 🧮 math-ph · cond-mat.dis-nn· math.MP

Bulk and Boundary Invariants for Complex Topological Insulators: From K-Theory to Physics

classification 🧮 math-ph cond-mat.dis-nnmath.MP
keywords invariantstopologicalboundarybulkcomplexinsulatorsk-theorybulk-boundary
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This monograph offers an overview on the topological invariants in fermionic topological insulators from the complex classes. Tools from K-theory and non-commutative geometry are used to define bulk and boundary invariants, to establish the bulk-boundary correspondence and to link the invariants to physical observables.

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