Ozsváth–Szabó's L-space homology-sphere conjecture

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Let YY be an irreducible homology 3-sphere and suppose that YY is an L-space. Ozsváth–Szabó's conjecture. Then YY is homeomorphic to either S3S^3 or the Poincaré homology sphere. The conjecture is described as originally due to Ozsváth and Szabó; the source gives no resolution status.

References

Primary source

Andras Juhasz, “A survey of Heegaard Floer homology”, arXiv:1310.3418 (2014).

Additional references

3 papers in this index state this conjecture (2005–2013). The statement above is taken from the most recent of them; the others are arXiv:math/0603445, arXiv:math/0510243.

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