Frobenius manifold structures on the spaces of abelian integrals

Roman M. Fedorov

doi:10.1016/j.geomphys.2010.10.015

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Frobenius manifold structures on the spaces of abelian integrals

Roman M. Fedorov

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Abstract

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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BibTeX RIS

Roman M. Fedorov. 2007-01-21. Frobenius manifold structures on the spaces of abelian integrals. https://doi.org/10.1016/j.geomphys.2010.10.015

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