Complexification of Bohr-Sommerfeld conditions
Algebraic Geometry
2007-05-23 v1 Symplectic Geometry
Abstract
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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Cite
@article{arxiv.math/9909094,
title = {Complexification of Bohr-Sommerfeld conditions},
author = {Andrei Tyurin},
journal= {arXiv preprint arXiv:math/9909094},
year = {2007}
}
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31 pages