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On Galkin's Lower Bound Conjecture

Jianxun Hu,Huazhong Ke, Changzheng Li, Zhitong Su

arxiv(2024)

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Abstract
We estimate an upper bound of the spectral radius of a linear operator on the quantum cohomology of the toric Fano manifolds ℙ_ℙ^n(𝒪⊕𝒪(3)). This provides a negative answer to Galkin's lower bound conjecture.
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