τ–invariants for knots in rational homology spheres

A surgery formula for knot Floer homology

“…We expect this formula to be a useful addition to the Heegaard Floer tool-box, independent of the present paper. (For instance, it was recently used by Raoux [47].) For that reason, we take the time to state it here.…”

A Rasmussen invariant for links in $\mathbb{RP}^3$

“…Question 6.8, along with the results in this paper, provides an impetus for a further study of concordance of knots in RP 3 . Apart from s, there are for example classical concordance invariants such as the d-signatures for d odd [10], as well as invariants from knot Floer homology, such as Raoux's τ s invariants [25,13]. It would be interesting to see if one could recover results such as Theorem 1.9 using τ s .…”

Filtering the Heegaard Floer contact invariant

“…They investigate contact 3-manifolds Y K obtained by inadmissible contact surgery on a transverse knot K in S 3 and obstruct existence of weak fillings in a very interesting range of surgery slopes determined by .K/. Their obstruction is obtained by the relative adjunction inequality of Raoux [53] for knots in rational homology spheres, noting that any weak filling of Y K embeds into a strong filling of S 3 in which K bounds a symplectic disk. There are generalizations of this method that work in the exact setting where Y K is built by inadmissible surgery on a transverse knot K in a 3-manifold Y all of whose weak fillings are classified.…”