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Two degenerate intersections of Clifford tori in S2× S2 and ℂP2
Abstract
We construct smooth time-periodic Hamiltonians on the monotone manifolds S2× S2 and ℂP2 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.
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BibTeX
@misc{gong2026degenerate,
title = {{Two degenerate intersections of Clifford tori in $S^2\times S^2$ and $\mathbbCP^2$}},
author = {Wenmin Gong},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.02965},
eprint = {2610.02965},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.02965},
}
RIS
TY - UNPB
TI - Two degenerate intersections of Clifford tori in S^2× S^2 and ℂP^2
AU - Wenmin Gong
PY - 2026
DA - 2026/10/24
PB - arXiv
DO - 10.48550/arxiv.2610.02965
UR - https://arxiv.org/abs/2610.02965
AB - We construct smooth time-periodic Hamiltonians on the monotone manifolds S^2× S^2 and ℂP^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.
ER -