Abstract
A quantum integrable model is considered which describes a quantization of the affine hyper-elliptic Jacobian. This model is shown to possess the property of duality: a dual model with inverse Planck constant exists such that the eigenfunctions of its Hamiltonians coincide with the eigenfunctions of Hamiltonians of the original model. We explain that this duality can be considered as duality between homologies and cohomologies of quantized affine hyper-elliptic Jacobian.
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