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

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

1997-02-21

arxiv.org/abs/alg-geom/9702014v1

Topol. Methods in Nonlinear Analysis 9 (1997), 107-161

Mathematics

Algebraic Geometry

AMSTeX, 56 pages

Scientific paper

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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