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Chern-Simons Gauge Theory and projectively flat vector bundles on 421-1421-1421-1

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Abstract

We consider a vector bundle on Teichmüller space which arises naturally from Witten's analysis of Chern-Simons Gauge Theory, and define a natural connection on it. In the case when the gauge group isU(1) we compute the curvature, showing, in particular, that the connection is projectively flat.

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Author notes

  1. T. R. Ramadas

    Present address: Tata Institute of Fundamental Research, School of Mathematics, Homi Bhabha Road, 400 005, Bombay, India

Authors and Affiliations

  1. Department of Mathematics, M.I.T., 02139, Cambridge, MA, USA

    T. R. Ramadas

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  1. T. R. Ramadas
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Additional information

Communicated by S.-T. Yau

Work supported by DOE grant DE-FG-02-88ER25066

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Ramadas, T.R. Chern-Simons Gauge Theory and projectively flat vector bundles on 421-1421-1421-1. Commun.Math. Phys. 128, 421–426 (1990). https://doi.org/10.1007/BF02108788

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  • DOI: https://doi.org/10.1007/BF02108788

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