# [Sharpness of the Cyclic Integral Floer Bound Below the Stable Morse Number](sharp-cyclic-integral-floer-bound-below-stable-morse-number.pdf)

**Author:** OpenAI

**Date:** October 5, 2026

## Citation

```bibtex
@misc{OAI:Sharpness-of-the-Cyclic-Integral-Floer-Bound-Below-the-Stable-Morse-Number-October-5-2026,
  author = {{OpenAI}},
  title = {{Sharpness of the Cyclic Integral Floer Bound Below the Stable Morse Number}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Sharpness-of-the-Cyclic-Integral-Floer-Bound-Below-the-Stable-Morse-Number-October-5-2026/sharp-cyclic-integral-floer-bound-below-stable-morse-number.pdf}{OAI:Sharpness-of-the-Cyclic-Integral-Floer-Bound-Below-the-Stable-Morse-Number-October-5-2026}},
  year = {2026}
}
```