Semisimple Frobenius (super)manifolds and quantum cohomology of $P^r$
Abstract
Description
We introduce and study a superversion of Dubrovin's notion of semisimple Frobenius manifolds. We establish a correspondence between semisimple Frobenius (super)manifolds and special solutions to the (supersymmetric) Schlesinger equations. Finally, we calculate the Schlesinger initial conditions for solutions describing quantum cohomology of projective spaces.
AMSTeX, 56 pages
AMSTeX, 56 pages