# On the strong Arnold conjecture for Grassmannians

“On the strong Arnold conjecture for Grassmannians” (2026), by Kenneth Blakey et al. Mathematics research paper. Original abstract below, unchanged. A free PDF is available.

- Authors: Kenneth Blakey, Roman Krutowski
- Published: November 6, 2026
- Field: Mathematics
- DOI: https://doi.org/10.48550/arxiv.2611.09694
- Free PDF: https://arxiv.org/pdf/2611.09694

## Abstract

On several families of flag varieties, we provide examples of degenerate Hamiltonian diffeomorphisms exhibiting significantly smaller numbers of fixed points than predicted by the strong Arnold conjecture.

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