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Title:
Geometric Quantisation of Higgs Moduli Spaces
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Abstract:
We shall in this talk discuss the geometric quantisation of the moduli space of flat connections both for compact simple, simply-connected groups G and for their complexification $G^{\mathbb C}$. The quantisation of the moduli space for the compact groups G are well studied and it is known how they fit into the Reshetikhin-Turaev TQFT at least for G = SU(n). In particular the dimensions of the finite dimensional Hilbert spaces, which the quantisation provides, are given by the Verlinde formula, which we will present for general such G.
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