The tensor product in the theory of Frobenius manifolds

Details The tensor product in the theory of Frobenius manifolds The tensor product in the theory of Frobenius manifolds

1998-06-15

arxiv.org/abs/math/9806082v1

Mathematics

Algebraic Geometry

41 pages, amslatex, uses xy-tex

Scientific paper

We introduce the operation of forming the tensor product in the theory of analytic Frobenius manifolds. Building on the results for formal Frobenius manifolds which we extend to the additional structures of Euler fields and flat identities, we prove that the tensor product of pointed germs of Frobenius manifolds exists. Furthermore, we define the notion of a tensor product diagram of Frobenius manifolds with factorizable flat identity and prove the existence such a diagram and hence a tensor product Frobenius manifold. These diagrams and manifolds are unique up to equivalence. Finally, we derive the special initial conditions for a tensor product of semi--simple Frobenius manifolds in terms of the special initial conditions of the factors.

Affiliated with

Also associated with

No associations

Rating

The tensor product in the theory 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 The tensor product in the theory of Frobenius manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The tensor product in the theory of Frobenius manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-634911