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arxiv: 1202.0902 · v1 · pith:WWHQP4E3new · submitted 2012-02-04 · 🧮 math-ph · hep-th· math.MP· math.OA

Topological aspects of generalized Harper operators

classification 🧮 math-ph hep-thmath.MPmath.OA
keywords generalizedoperatorsharperaspectsassociatedbundlescherncomputing
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A generalized version of the TKNN-equations computing Hall conductances for generalized Dirac-like Harper operators is derived. Geometrically these equations relate Chern numbers of suitable (dual) bundles naturally associated to spectral projections of the operators.

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