The Singularity of Kontsevich's Solution for $QH^{*}(CP^2)$

Details The Singularity of Kontsevich's Solution for $QH^{*}(CP^2)$ The Singularity of Kontsevich's Solution for $QH^{*}(CP^2)$

2003-01-10

arxiv.org/abs/math-ph/0301011v1

Physics

Mathematical Physics

12 pages

Scientific paper

We study the singularity of the Kontsevich's solution of the WDVV equations
of associativity. We prove that it corresponds to a singularity in the change
of two coordinates systems of the Frobenius manifold given by the quantum
cohomology of $CP^2$.

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