Complexification of Bohr-Sommerfeld conditions

Details Complexification of Bohr-Sommerfeld conditions Complexification of Bohr-Sommerfeld conditions

1999-09-16

arxiv.org/abs/math/9909094v1

Mathematics

Algebraic Geometry

31 pages

Scientific paper

The complex version of Bohr-Sommerfeld conditions is proposed. The BPU-construction (see [D.Borthwick, T. Paul and A. Uribe, Legendrian distributions with applications to the non-vanishing of Poincar\'e series of large weight, Invent. math, 122 (1995), 359-402, preprint hep-th/9406036] or [Andrei Tyurin, On Bohr-Sommerfeld bases, math.AG/9909084]) is generalized to this complexification. The new feature of this generalization is a spectral curve. The geometry of such curves is investigated.

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