Establishes a link between semisimple Frobenius supermanifolds and solutions to Schlesinger equations, highlighting implications for quantum cohomology.
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.
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Manin et al. (1997) studied this question.
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