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It is now well-known that Newton-Cartan theory is the correct geometrical setting for modelling the quantum Hall effect.
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Andrey Gromov, Kristan Jensen, and Alexander G. Abanov, “Boundary Effective Action for Quantum Hall States”, Physical Review Letters 116, 126802, 2016
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Marc Geiller, “Edge Modes and Corner Ambiguities in 3D Chern-Simons Theory and Gravity”, Nuclear Physics B 924, pp. 312-365, 2017
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Sebastián Murgueitio Ramirez and Nicholas J. Teh, “Abandoning Galileo’s Ship: The Quest for Non-relational Empirical Significance”, British Journal for the Philosophy of Science, forthcoming
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Martin R. Zirnbauer, “The Integer Quantum Hall Plateau Transition is a Current Algebra After All”, Nuclear Physics B 941, pp. 458-506, 2019
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Laurent Freidel, Marc Geiller and Daniele Pranzetti, “Edge Modes of Gravity. Part I. Corner Potentials and Charges”, Journal of High Energy Physics, 2020
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Laurent Freidel, Marc Geiller and Daniele Pranzetti, “Edge Modes of Gravity. Part II. Corner Metric and Lorentz Charges”, Journal of High Energy Physics, 2020
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Henrique Gomes, “Holism as the Significance of Gauge Symmetries”, arXiv:1910.05330v2, 2020
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Philippe Mathieu, Laura Murray, Alexander Schenkel and Nicholas J. Teh, “Homological Perspective on Edge Modes in Linear Yang-Mills and Chern-Simons Theory”, Letters in Mathematical Physics 110, pp. 1559–1584, 2020
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