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Frobenius manifold structures on the spaces of abelian integrals

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 نشر من قبل Roman Fedorov
 تاريخ النشر 2007
  مجال البحث فيزياء
والبحث باللغة English
 تأليف Roman M. Fedorov




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Frobenius manifold structures on the spaces of abelian integrals were constructed by I. Krichever. We use D-modules, deformation theory, and homological algebra to give a coordinate-free description of these structures. It turns out that the tangent sheaf multiplication has a cohomological origin, while the Levi-Civita connection is related to 1-dimensional isomonodromic deformations.



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