Cohomology of Line Bundles: Applications

Understand

Massless modes of both heterotic and Type II string compactifications on compact manifolds are determined by vector bundle valued cohomology classes.

• Various applications of our recent algorithm for the computation of line bundle valued cohomology classes over toric varieties are presented.
• For the heterotic string, the prime examples are so-called monad constructions on Calabi-Yau manifolds.
• In the context of Type II orientifolds, one often needs to compute equivariant cohomology for line bundles, necessitating us to generalize our algorithm to this case.