We study the linear part of the monodromy of completely integrable Hamiltonian systems via Bohr–Sommerfeld Geometric Quantization. We relate monodromy to the ambiguity in the choice of the pre–quantum connection and to the action of the (connected component of the) gauge group.
Monodromy and the Bohr--Sommerfeld Geometric Quantization
Sansonetto, Nicola
2012-01-01
Abstract
We study the linear part of the monodromy of completely integrable Hamiltonian systems via Bohr–Sommerfeld Geometric Quantization. We relate monodromy to the ambiguity in the choice of the pre–quantum connection and to the action of the (connected component of the) gauge group.
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