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We define and study analogs of the Thouless charge pump for many-body gapped systems in dimension $D$.
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H. Watanabe, “A Proof of the Bloch Theorem for Lattice Models,” Journal of Statistical Physics 177
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J. C. Y. Teo and C. L. Kane, “Topological defects and gapless modes in insulators and superconductors,” Phys. Rev. B 82
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A. Kitaev, Unpublished
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