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Two degenerate intersections of Clifford tori in $S^2\times S^2$ and $\mathbb{C}P^2$

Year: 2026
Type: preprint
Abstract: We construct smooth time-periodic Hamiltonians on the monotone manifolds $S^2\times S^2$ and $\mathbb{C}P^2$ for which the Clifford torus meets its Hamiltonian image in exactly two isolated degenerate points. The product example disproves the degenerate Arnol'd-Givental conjecture.
DOI: 10.48550/arxiv.2610.02965
Author: Gong, Wenmin
Language: English
Open Access status: green
OpenAlex ID: W7220397582
Cites: 18
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Related to: 10