Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1894883 | Journal of Geometry and Physics | 2012 | 10 Pages |
Abstract
The base space of a semi-universal unfolding of a hypersurface singularity carries a rich geometric structure, which was axiomatized as a CDV-structure by C. Hertling. For any CDV-structure on a Frobenius manifold M, the pull-back bundle ÏâTM(1,0) by the projection Ï:CÃMâM carries two natural holomorphic structures equipped with two flat meromorphic connections. We show that, for any semi-simple CDV-structure, there is a formal isomorphism between these two bundles compatible with connections. Moreover, if we assume that the super-symmetric index Q vanishes, we give a necessary and sufficient condition for such a formal isomorphism to be convergent, and we make it explicit for dimM=2.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Jiezhu Lin, Claude Sabbah,