Unfoldings of meromorphic connections and a construction of Frobenius manifolds

Details Unfoldings of meromorphic connections and a construction of Frobenius manifolds Unfoldings of meromorphic connections and a construction of Frobenius manifolds

2002-07-10

arxiv.org/abs/math/0207089v3

Mathematics

Algebraic Geometry

34 pages, amslatex, remark 2.10 added, shorter proof of 2.9

Scientific paper

The existence of universal unfoldings of certain germs of meromorphic connections is established. This is used to prove a general construction theorem for Frobenius manifolds. A particular case is Dubrovin's theorem on semisimple Frobenius manifolds. Another special case starts with variations of Hodge structures. This case is used to compare two constructions of Frobenius manifolds, the one in singularity theory and the Barannikov-Kontsevich construction. For homogeneous polynomials which give Calabi-Yau hypersurfaces certain Frobenius submanifolds in both constructions are isomorphic.

Affiliated with

Also associated with

No associations

Rating

Unfoldings of meromorphic connections and a construction of Frobenius manifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Unfoldings of meromorphic connections and a construction of Frobenius manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Unfoldings of meromorphic connections and a construction of Frobenius manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-185399