Semisimplicity of the quantum cohomology for smooth Fano toric varieties associated with facet symmetric polytopes

Details Semisimplicity of the quantum cohomology for smooth Fano toric varieties associated with facet symmetric polytopes Semisimplicity of the quantum cohomology for smooth Fano toric varieties associated with facet symmetric polytopes

2011-03-03

arxiv.org/abs/1103.0762v1

Mathematics

Symplectic Geometry

17 pages

Scientific paper

The degree zero part of the quantum cohomology algebra of a smooth Fano toric symplectic manifold is determined by the superpotential function, W, of its moment polytope. In particular, this algebra is semisimple, i.e. splits as a product of fields, if and only if all the critical points of W are non-degenerate. In this paper we prove that this non-degeneracy holds for all smooth Fano toric varieties with facet-symmetric duals to moment polytopes.

Affiliated with

Also associated with

No associations

Rating

Semisimplicity of the quantum cohomology for smooth Fano toric varieties associated with facet symmetric polytopes 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 Semisimplicity of the quantum cohomology for smooth Fano toric varieties associated with facet symmetric polytopes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Semisimplicity of the quantum cohomology for smooth Fano toric varieties associated with facet symmetric polytopes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-590159