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2007 Berezin-Toeplitz Quantization of the Moduli Space of Flat $\mathrm{SU}(N)$ Connections
Martin Schlichenmaier
J. Geom. Symmetry Phys. 9: 33-44 (2007). DOI: 10.7546/jgsp-9-2007-33-44


The moduli space of flat $\mathrm{SU}(n)$ connections on Riemann surfaces is of fundamental importance in TQFT. There is an associated representation of the mapping class group on the space of covariantly constant sections of the Verlinde bundle with respect to the AdPW-H connection. J. Andersen showed that this representation is asymptotically faithful. In his proof the Berezin-Toeplitz quantization of compact Kähler manifolds is used. In this contribution the background and some ideas of Andersen's proof is sketched.


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Martin Schlichenmaier. "Berezin-Toeplitz Quantization of the Moduli Space of Flat $\mathrm{SU}(N)$ Connections." J. Geom. Symmetry Phys. 9 33 - 44, 2007.


Published: 2007
First available in Project Euclid: 20 May 2017

zbMATH: 1151.81026
MathSciNet: MR2380013
Digital Object Identifier: 10.7546/jgsp-9-2007-33-44

Rights: Copyright © 2007 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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