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arXiv · alg-geom/9702014

Semisimple Frobenius (super)manifolds and quantum cohomology of $P^r$

Yu. I. Manin·S. A. Merkulov
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Abstract

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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Yu. I. Manin, S. A. Merkulov. 1997-02-21. Semisimple Frobenius (super)manifolds and quantum cohomology of $P^r$. https://arxiv.org/abs/alg-geom/9702014

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