Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 347-05. Three fixed points on the symplectic quadric threefold
Manuscript map · lines 9085–9094
OpenAI@2026-10-07#rem:oai-p-347-05
Authors: OpenAI. Family 347.
Title: Three fixed points on the symplectic quadric threefold.
Abstract: We construct a smooth Hamiltonian diffeomorphism of the complex quadric threefold with exactly three fixed points, at least one of which is degenerate. The critical number and the unit-inclusive rational cup length of this manifold are both four. Thus the example disproves the unrestricted critical-number and rational cup-length forms of the Arnold conjecture.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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