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

In: Proceedings of the International Congress of Mathematicians

Author

Listed:
  • J. Fröhlich

    (ETH-Zürich)

  • A.H. Chamseddine

    (ETH-Zürich)

  • F. Gabbiani

    (ETH-Zürich)

  • T. Kerler

    (ETH-Zürich)

  • C. Kling

    (ETH-Zürich)

  • P.A. Marchetti

    (ETH-Zürich)

  • U.M. Studer

    (ETH-Zürich)

  • E. Thiran

    (ETH-Zürich)

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].

Suggested Citation

  • J. Fröhlich & A.H. Chamseddine & F. Gabbiani & T. Kerler & C. Kling & P.A. Marchetti & U.M. Studer & E. Thiran, 1995. "The Fractional Quantum Hall Effect, Chern-Simons Theory, and Integral Lattices," Springer Books, in: S. D. Chatterji (ed.), Proceedings of the International Congress of Mathematicians, pages 75-105, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-9078-6_9
    DOI: 10.1007/978-3-0348-9078-6_9
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