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The Fractional Quantum Hall Effect, Chern-Simons Theory, and Integral Lattices

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Proceedings of the International Congress of Mathematicians

Abstract

Chern-Simons theory has come to play an important role in three-dimensional topology because of its connections with Ray-Singer analytic torsion [47], the Gauss linking number [25], [14], [57], the Jones polynomial in knot theory [35] and its generalizations [63], [23], and three-manifold invariants [63], [12]. Recently, Chern-Simons forms and actions over noncommutative spaces [7] have been defined [45], [6] and turn out to provide a unifying perspective for topological gauge theories in odd and even dimensions [6].

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  1. ETH-Zürich, CH-8092, Zürich, Switzerland

    J. Fröhlich, A.H. Chamseddine, F. Gabbiani, T. Kerler, C. Kling, P.A. Marchetti, U.M. Studer & E. Thiran

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  1. J. Fröhlich
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  1. Département de Mathématiques, EPFL, 1015, Laussane, Switzerland

    S. D. Chatterji

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Fröhlich, J. et al. (1995). The Fractional Quantum Hall Effect, Chern-Simons Theory, and Integral Lattices. In: Chatterji, S.D. (eds) Proceedings of the International Congress of Mathematicians. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-9078-6_9

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  • DOI: https://doi.org/10.1007/978-3-0348-9078-6_9

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