Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1893122 | Journal of Geometry and Physics | 2011 | 13 Pages |
Abstract
Frobenius manifold structures on the spaces of abelian integrals were constructed by I. Krichever. We use DD-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 one-dimensional isomonodromic deformations.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Roman M. Fedorov,