Frobenius Manifold Structures on the Spaces of Abelian Integrals

نویسنده

  • ROMAN M. FEDOROV
چکیده

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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تاریخ انتشار 2007