Proof of a conjecture on the genus two free energy associated to the \(A_n\) singularity (Q391276)
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scientific article; zbMATH DE number 6244121
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Proof of a conjecture on the genus two free energy associated to the \(A_n\) singularity |
scientific article; zbMATH DE number 6244121 |
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Proof of a conjecture on the genus two free energy associated to the \(A_n\) singularity (English)
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10 January 2014
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Dubrovin, Liu and Zhang conjectured that ``If \(M\) is a Frobenius manifold associated to an ADE singularity or an extended affine Weyl group of ADE type, then the genus two \(G\)-function \(G^{(2)}(u,u_{x},u_{xx})\) vanishes.'' In this work, the authors prove this conjecture for the class of Frobenius manifolds obtained from the simple singularities of type A.
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Frobenius manifolds
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\(G\)-function
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simple singularities
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dual graph
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free energy
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