Abstract
We prove that the moduli space of flatSU(2) connections on a Riemann surface has a real polarization, that is, a foliation by lagrangian subvarieties. This polarization may provide an alternative quantization of the Chern-Simons gauge theory in higher genus, in line with the results of [11] for genus one.
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Communicated by A. Jaffe
Supported by NSF Mathematical Sciences Postdoctoral Research Fellowship DMS 88-07291
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Weitsman, J. Real polarization of the moduli space of flat connections on a Riemann surface. Commun.Math. Phys. 145, 425–433 (1992). https://doi.org/10.1007/BF02099391
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DOI: https://doi.org/10.1007/BF02099391