Frobenius manifold structures on the spaces of abelian integrals

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Frobenius Manifold Structures on the Spaces of Abelian Integrals

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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ژورنال

عنوان ژورنال: Journal of Geometry and Physics

سال: 2011

ISSN: 0393-0440

DOI: 10.1016/j.geomphys.2010.10.015