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Special Bohr - Sommerfeld geometry on Riemann surfaces: toy problems

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 نشر من قبل Nikolay Tyurin
 تاريخ النشر 2016
  مجال البحث
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 تأليف Nikolai A. Tyurin




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Special Bohr - Sommerfeld geometry, first formulated for simply connected symplectic manifolds (or for simple connected algebraic varieties), gives rise to some natural problems for the simplest example in non simply connected case. Namely for any algebraic curve one can define a correspondence between holomorphic differentials and certain finite graphs. Here we ask some natural questions appear with this correspondence. It is a partial answer to the question of A. Varchenko about possibility of applications of Special Bohr -Sommerfeld geometry in non simply connected case. The russian version has been translated.

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