Semisimple Frobenius (super)manifolds and quantum cohomology of $\mathbb P}^r$
Keywords
semisimple Frobenius (super)manifolds, Schlesinger equations, strict special solutionsAbstract
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.Downloads
Published
1997-03-01
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1.
MANIN, Yuri I. and MERKULOV, S. A. Semisimple Frobenius (super)manifolds and quantum cohomology of $\mathbb P}^r$. Topological Methods in Nonlinear Analysis. Online. 1 March 1997. Vol. 9, no. 1, pp. 107 - 161. [Accessed 28 March 2024].
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