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On Galkin's Lower Bound Conjecture

Published 27 May 2024 in math.AG | (2405.16987v1)

Abstract: We estimate an upper bound of the spectral radius of a linear operator on the quantum cohomology of the toric Fano manifolds $\mathbb{P}_{\mathbb{P}{n}}(\mathcal{O}\oplus\mathcal{O}(3))$. This provides a negative answer to Galkin's lower bound conjecture.

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