My question is the following:

Does knot Floer homology detect the genus of null-homologous knot in rational homology spheres?

If the answer is yes, I would like to have a reference for the statement of the result and the proof.


Link Floer homology detects the Thurston norm, see this paper by Yi Ni.

EDIT: There are some lecture notes that Robert Lipshitz just put up on the arXiv, where he discusses the problem you're interested in. I haven't had time to look carefully into them, but he's usually very careful and clear in what he writes.


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.