Frobenius manifold structures on the spaces of abelian integrals

JOURNAL OF GEOMETRY AND PHYSICS

卷:61

Article

Fedorov, Roman M.

关键词: Frobenius manifolds;    Abelian integrals;    Moduli spaces;    D-modules;    Isomonodromic deformation;   

DOI  :  10.1016/j.geomphys.2010.10.015

来源: Elsevier

【 摘 要 】

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 one-dimensional isomonodromic deformations. (C) 2010 Elsevier B.V. All rights reserved.

【 授权许可】

Free